What does characterization mean?

Characterization is the combination of all of the things an
author does to create the personality of a character in a piece of literature. There are several
techniques an author can use, and good author's usually use a blending of all of the techniques
in order to create a well-rounded picture of the person. Here are the most common
techniques:

1. What the narrator directly
   states.


2. What the character
   does.


3. What the character
   thinks.


4. What the character
   says.


5. What other characters say about
   the character.

As a reader, you get to
know characters by considering all of the above pieces of the person. For example, if the
narrator directly tells us that a character is strong, then we store away that piece of
information. On the next page, the character picks up his own car in order to move it into the
garage. Now we have a detail of what he does that reinforces what we already learned. On the next
page the characters thinks about getting to the gym for his next workout. That thought also
contributes to his characterization by revealing what the character thinks about and what is
important to him. On the next page, the character says, "If you need your car moved, just call
me!" Then what he says reveals his character. First, he is a nice, helpful guy, but also, that he
is very strong. On the last page, his friend remarks, "Wow, I didn't think he could do it, but he
picked up the car!" Then the comments of other characters reinforce the
characterization.

The above example is simple, but it gives you an
idea of how all of the techniques work together to play off of one another and reinforce the
characterization that the author is trying to craft. With longer works, there will be several
facets to the characterization, but the techniques will still be the
same.

What was NLRB v. Jones in 1937?

This case was one of the most important cases in Supreme Court
history. It was the famous "switch in time that saved nine" (because it helped to diffuse any
momentum towards FDR's court packing plan). This was the case in which the Court abandoned its
doctrine of "substantive due process" and began to allow the federal government broader powers to
regulate the economy based on Congress's constitutional right to regulate interstate
commerce.

In 1935, Congress passed the Wagner Act which gave many
protections to labor unions and union members. The Jones & Laughlin Steel Corporation
fired a number of workers for trying to unionize. The workers
sued.

Historically, the Supreme Court had said that the 5th and 14th
Amendments protected the right of workers and employers to make any contracts they wanted to
between themselves. In other words, they could make contracts for any amount of pay (so minimum
wage laws were illegal) or any amount of hours worked (so maximum hours laws were illegal).
Similarly, they could make contracts banning union activity. This was seen as part of their
liberty and could not be taken away without due process of the
law.

In this case, the Court reversed this reasoning. It held,
instead, that laws regulating labor relations were legal because of the interstate commerce
clause. It stopped using the idea that such laws were illegal under the due process clauses of
the 5th and 14th Amendments. This allowed not only the New Deal programs but also has allowed the
much more extensive set of government regulations that exist today.

In "The Rime of the Ancient Mariner," what eventually happens to put the ship back on its course?

We are told that at the end of Part IV of the poem, the Mariner
notices the beauty of the water snakes in the sea surrounding the ship. It is clear that the
Mariner is attracted to them for their beauty and vibrant colours and is overwhelmed by what he
sees, so much that he blesses them without knowing it:

readability="18">

O happy, living things! no
tongue

Their beauty might declare:

A
spring of love gushed from my heart,

And I blessed them
unaware:

Sure my kind saint took pity on
me,

And I blessed them
unaware.

The effect of his blessing of
the water snakes is dramatic and immediate - he finds that he can pray again and the albatross
falls from his neck and falls into the sea, indicating that now the Mariner has blessed a living
thing of Nature, this off-sets his crime in killing the albatross, and thus he is able to pray
and the bird, the symbol of his guilt, falls away. Likewise this crucial event is what gets the
ship back on course - the Mariner falls into a deep sleep, yet when he wakes, he finds that the
ship is being sailed by the reanimated corpses of the crew. Eventually the Mariner realises that
a troop of angels is in control of the ship. He falls into a trance, during which the ship
magically arrives back at his own country.

Thus it is the act of
blessing the water snakes that initiates the process of starting the ship moving again and
getting the Mariner back home, with the curse upon him ended.

What is the meaning of the words Lady Macbeth speaks at Act I, Scene V, lines 16-21?

These are the opening lines of Lady Macbeth's entry speech, a
soliloquy, in act 1 scene 5. The lines refer to what Macbeth has confided to his wife in the
letter just read out by Lady Macbeth. Macbeth was the Thane of Glamis, and he has been crowned
with the title of Cawdor by King Duncan as a reward for his exemplary performance in the battles
against the rebels. Lady Macbeth endorses the proclamation of the witches that her husband shall
also be the king. But she is afraid of some constraint which she believes to be inherent in
Macbeth's nature: It is too full o' the milk of human kindness. This is a
mistake on the part of a wife who does not possess enough insight into her husband's dilemma. She
mistakes Macbeth's habit of shilly-shallying for kindness of disposition. If Macbeth is unable to
settle down to "catch the nearest way" (an euphemism for murder), it is not because he is
characteristically of a very sympathetic disposition. Further on here, Lady Macbeth
under-estimates her husband's deep-seated ambition, and over-estimates his conscientious scruples
about the means to that end:

readability="13">

.......................................thou wouldst be
great;

Art not without ambition, but
without

The illness should attend it: what thou wouldst
highly,

That wouldst thou holily; wouldst not play
false...

What was the legal status of black Americans in bondage in the antebellum (1820-1860) deep south?

Specifically, I would refer to the Dred Scott
vs. SandfordSupreme Court decision of 1857, where Chief Justice Roger B.
Taney, writing for the majority opinion in the case, stated clearly "A black man has no
rights a white man is bound to respect".  The Court further defined slaves as "chattel",
or mere property, which, much like furniture or livestock, could be taken at will by
their owners into any territory in the United States, whether slavery was legal there or
not.

In addition, there were specific "slave codes" that
had been developed and revised since the 1630s.  By the early 19th century, it was very
difficult to free a slave even in your will, and slaves were not legally allowed to
preach to congregations, or to be educated at all, even if their master wanted
to.

Simply put, legally, slaves were not yet looked at as
human beings in the eyes of US law, something that would not change until after the
Civil War.

In "The Fall of the House of Usher," what were Roderick's motives for burying Madeline alive when it seems that they had a close...

You have asked a great question that really goes to the
heart of this tale. We are never clear whether Roderick knowingly buries his sister
alive out of pure malicious evil or whether it is just a mistake that he makes because
of the curse that is upon the House of Usher. Consider what the narrator says as they
look upon Madeline's face one last time before entombing
her:

The
disease which had thus entombed the lady in the maturity of youth, had left, as usual in
all maladies of a strictly cataleptical character, the mockery of a faint blush upon the
bosom and the face, and that suspiciously lingering smile upon the lip which is so
terrible in death.

What is
interesting is that the nature of Madeline's appearance accords exactly with the
symptoms of her disease, illnesses of a "cataleptical character," and it is the narrator
that reports this to us first hand. Although we are told at the conclusion of the story
that Roderick "heard" her first movements in the coffin, we could perhaps excuse him for
thinking this was just his fancy.

However, we are never
precisely sure if Roderick buried her deliberately or if he can be excused because of
his illness and the way that if effects his senses and the nature of her illness that
does, we are told, give her an appearance of death.

Give an equation with a vertical asymptote of 0 and a slant asymptote of -x

The equation of the slant asymptote is put in the standard form
and it is written as:

y = mx + n, where m is the slope of the
asymptote and n is the y intercept.

The equation of the slant
asymptote is:

y = -x

m = -1 and n =
0

The equation y = -x is the equation of the bisectrix of the 2nd or
the 4th quadrant.

So, the slant asymptote y = -x is the bisectrix of
the 2nd or the 4th quadrant.

If the vertical asymptote of a function
is x = 0 that means that the function is discontinuous in the point that has the x coordinate x =
0.

The domain of definition of the function that has the vertical
asymptote x = 0 does not contain the value x = 0.

If f(x) = x^2+3 g(x) =sqrt(x) determine (fog)(x) and (gof)(x).

We compose the 2 given functions in this
way:

(fog)(x) = f(g(x))

We
notice that the variable x was replaced by the function g(x). According to this, we'll
write the function f(g(x)) by substituting x by g(x) in the  original expression of
f(x):

f(g(x)) = [g(x)]^2 +
3

f(g(x)) = (sqrt x)^2 +
3

(fog)(x) = f(g(x)) = x +
3

Now, we'll compose gof and we'll
get:

(gof)(x) = g(f(x))

We
notice that the variable x was replaced by the function f(x). According to this, we'll
write the function g(f(x)) by substituting x by f(x) in the  original expression of
g(x):

g(f(x)) = sqrt
f(x)

(gof)(x) = g(f(x)) = sqrt
(x^2+3)

As we can remark, the result of the
2 compositions is not the same!

A. Explain which position makes the most sense to you and why: - Kant's 'Categorical Imperative' (Deontology)

I am not really clear on what you are asking here -- what two
positions you wish us to choose between.  It looks like you might be asking us to compare between
Kant's categorical imperative and deontology.  The problem is that the categorical imperative is
an example of deontology and so we cannot really compare the
two.

Deontology is a school of philosophy that judges our actions
based on whether they conform to certain rules of morality.  This is as opposed to
consequentalist ideas that judge morality based on the impacts of the
actions.

Kant's categorical imperative is clearly deontological.  It
sets out a formula for determining morality (whether we could will that our action be the basis
for a universal law) and judges our actions according to that
formula.

As far as which position makes most sense to me, I have
always thought that the categorical imperative was the best statement of how to judge the
morality of an action.  But I do not know which other position you wish to compare to
it.

How many grams of copper (II) fluoride are needed to make 6.7 liters of a 1.2 M solution?

The concentration of a solution can be expressed in many ways,
including grams per liter, etc. When the concentration is expressed in terms of moles per liter
and the solution has one mole of the solute in one liter of the solution its concentration is
1M.

A solution with a concentration in terms of molarity of 1.2 M
can be made by dissolving 1.2 moles of the solute in every liter of the
solution.

To make 6.7 liters of solution of copper (II) fluoride
with molarity 1.2 we need 1.2*6.7 = 8.04 moles of copper (II)
fluoride.

The molecular mass of copper (II) fluoride is 101.543
g/mole.

The mass of 8.04 moles of copper (II) fluoride is
101.543*8.04 = 816.4 g.

To make 6.7 liters of a 1.2 M solution of
copper (II) fluoride, 816.4 g of copper (II) fluoride is required.

In what ways did Robert influence Edna's awakening?I would like to know the ways that affected her awakening the most.

The most important thing that Robert did for Edna was teach her
how to swim.  While this might not seem like a big deal, the idea of swimming becomes symbolic as
the novel progresses.  As Edna's abiltity and confidence in her swimming grow, so does her
understanding of herself and how she feels about her position in society as a wife to Leonce and
a mother to her two sons. 

In the beginning of the novel she can
hardy swim and needs to be holding on to someone else for security -- just as she holds on to
Leonce and the traditional role of women in this society. As she learns to swim independently she
becomes more independent in her attitudes and behavior.  Robert takes her away from the house and
spends a lot of time with her.  She realizes there is more to what she wants from life than just
hearth and home.  By the end of the summer she is a confident swimmer and seems to have made a
decision to be with Robert, but he upends her vision when he announces he is leaving for Mexico
to make his fortune.  Interestingly, that doesn't stop Edna's
awakening. 

Once she returns to town she stops her social
engagements and eventually moves into her own house around the corner from her old house with
Leonce.  She even has an affair with Alcee Arobin.  She is more truly her own person, and when
she realizes that the dream of Robert will never come true she returns to the sea again.  This
time she swims until she is so far out that she can't return.  She is not afraid to be alone out
there -- she chooses to be alone and she chooses to swim away from a society she will never be
happy or be herself in.  She lets herself drown and be free rather than tied
down.

Why do the animals confess to their crimes in chapter seven of Animal Farm?

The forced confessions is a major part of chapter 7. In order to
consolidate his own power, Napoleon orchestrates the demonstration of the forced confessions. The
animals do not confess out of their own volition. Rather, they confess under extreme pressure and
force, believing that a public confession could spare them from Napoleon's brutality. As is
shown, it does not. Additionally, the forced confessions are also designed to divert attention
from the food shortages and the challenges the animals undergo while living on the farm. Napoleon
understands that ensuring their obedience is crucial during trying and difficult times. This is
why he orchestrates the ceremony where he is awarded and those who have "betrayed" Animal Farm
with voicing dissent or supporting Snowball are executed. The forced confessions also coincides
with the teaching of a new slogan where "loyalty" to Animal Farm becomes all that
matters.

How does setting and symbolism highlight the theme of Harry Potter and the Sorcerer's Stone?

Well, it seems an obvious point, but one of the clear
themes of this novel, and indeed of all the series, is magic. If you want to think about
setting, then there are ample descriptions for you to choose from that clearly show that
we are plunged, like Harry is, into a new, exciting, mysterious and, above all, magical
world where nothing is as we think it is and everything that we had taken for granted is
now different. One of my favourite examples of this is a description we are given of
Hogwarts:

readability="14">

There were a hundred and forty-two staircases at
Hogwarts: wide, sweeping ones; narrow, rickety ones; some that led somewhere different
on a Friday; some with a vanishing step halfway up that you had to remember to jump.
Then there were doors that wouldn't open unless you asked politely, or tickled them in
exactly the right place, and doors that weren't really doors at all, but solid walls
just pretending. It was also very hard to remember where anything was, because it all
seemed to move around a lot. The people in the portraits kept going to visit
each other and Harry was sure the coats of armour could
walk.

Here we see the theme
of magic clearly established through the moving portraits and coats of armour and the
wide variety of different doors that Harry is overwhelmed with as he seeks to find his
way around his new school.

In "An Occurrence at Owl Creek Bridge," describe in detail what you think about the narrator of this story.

The author's concern in this memorable tale is to present
us with a taut psychological drama that narrates an incredible, fantastical escape
compressed into the last few seconds of Farquhar's life before he is executed by
hanging. Therefore, to help communicate that this is all a fantasy, the author uses a
variety of different point of views in the tale but also within his account points to
the unreality of the situation by making the description seem mysterious and
strange.

If you follow the narration through the tale the
point of view shifts variously from omniscient narrator, objective narrator to finally
third person limited narrator, as we follow the action from Farquhar's point of view.
Particularly when he focuses on Farquhar's flight of fantasy as he escape, the point of
view that is selected to narrate this section of the story is third person limited, as
it helps the narrator to maintain a realistic perspective on the action, even as
Farquhar's mind delves ever more into the realms of
fantasy.

However, the author plants clues or hints that
what is happening is not real. Consider the description of the territory around
Farquhar's home towards the end of the novel:

readability="14">

At last he found a road which led him in what he
knew to be the right direction. It was as wide and straight as a city street, yet it
seemed untravelled. No fields bordered it, no dwelling anywhere. Not os much as the
barking of a dog suggested human habitation. The black bodies of the trees formed a
straight wall on both sides, terminating on the horizon in a point, like a diagram in a
lesson in perspective. Overhead, as he looked up through this rift in the wood, shone
great golden stars looking unfamiliar and grouped
in strange constellations.

Note
here how this effectively foreshadows the ending. Because we see the landscape through
Farquhar's eyes, we would expect it to be familiar, since he is not far from his home.
However, the scene has a surreal, nightmarish quality that indicates that something is
not right.

Therefore, if you are going to comment on the
narrator, two areas to think about referring to are the shift in the point of view and
the way that description is used to indicate the fantasy that we are
shown.

What is the fundamental frequency of a guitar string that is 1 m long, the mass per unit length is 50 g/m and the Tension in the string is 50 N.

We have to find the fundamental frequency of a string. The
formula for the fundamental frequency of a stretched string is given
by

sqrt [ T/ (m/L)]/ 2*L , where T is the tension in the
string, m is the mass per length and L is the length of the
string.

Using the values given to
us:

L = 1m

m= 50g /m = .05
Kg/m

T = 50 N

Therefore sqrt [
T/ (m/L)]/ 2*L

=> sqrt [ 50/ (.05/1)]/
2*1

=> sqrt [ 50 / .05] /
2

=> sqrt 1000
/2

=> 31.62 /
2

=> 15.81
Hz

Therefore the fundamental frequency is
15.81 Hz

Who were the three men in Miss Emily's life and how were they similar in "A Rose for Emily"?

There are three men in Miss Emily's
life.

The first is her father. The second is Colonel
Sartoris. The third is Homer Baron.

Miss Emily's father is
an over-bearing, controlling, cold man of the old South.  He rules his daughter's life
with an iron fist, dictating who she can and cannot associate with. He has little regard
for her as a woman; she lives constantly in his shadow for his entire
life.

Colonel Sartoris, who runs the local government after
Emily's father passes, treats Miss Emily like a delicate flower, like a true gentlewoman
of southern society. When she raises concerns about paying taxes, he dismisses back
taxes and excuses payment for the rest of her life—in the fashion of a true southern
gentleman. This is a man who knows how to treat a woman as gently as one would expect,
especially for a woman on her own.

The last man in Emily's
life is Homer Baron. He is a wild young man, handsome, virile and popular with the
ladies.  He is flashy and gregarious, and she is seen in his company a number of times.
It is assumed, when Emily orders a man's sterling silver brush and comb set, that there
will be a marriage between the two very soon. When Homer leaves town, everyone believes
he goes to prepare a home for them after the wedding. He returns briefly and is never
seen again. (It is, of course, his body the town officials find at Emily's death,
resting in her bed, nothing but a skeleton.)

All three men
are regarded highly by the society in which they live. They are the epitome of members
of the genteel society of the South. Each one is a powerful man in one way or another.
Although they each treat Miss Emily differently, she is dependent upon them for
different things.  Miss Emily's father supports her; Colonel Sartoris "rescues her" from
taxes; and, Homer Baron entertains her and makes her feel
special.

All three of the men in Miss Emily's life are
different in who they are, but similar in what they mean to her.

In The Great Gatsby, in what way are Nick and Gatsby similar and different in Chapter III?

You have of course highlighted an important aspect of the
novel, which is narrated using the unreliable first person narration of Nick Carraway.
There is a sense in which both Nick and Gatsby are kind of "doubles" throughout the
novel. This chapter is interesting for a number of reasons, but firstly because it
charts the first actual meeting between the two characters. One similarity that it
quickly established is the shared history that both of them have through fighting during
wartime:

We
talked for a moment about some wet, grey little villages in
France.

As for another
similarity, you might want to think how both Gatsby and Nick to differing extents are
part of this party, yet at the same time are not really part of it. For example, Gatsby
is described as "standing alone on the marble steps" during the piece of music "Jazz
History", just as Nick struggles to enjoy the party and make sense of the dazzling world
he has just entered.

As for differences, you might want to
think about how Gatsby "chooses his words with care" and adopts the English phrase "old
sport" to try and fit in to this world, whereas Nick describes himself as an honest man
at the end and does not change himself to fit in. Clearly other differences, all
witnessed through Nick's eyes, are the tremendous wealth he sees that Gatsby enjoys, the
massive sense of speculation concerning Gatsby and his past and finally the sense of
speculation about where Gatsby gets his wealth from and how he has achieved so much in
so little time.

What is the point of intersection of 4x+ 3y =0 and 7x + 5y +1 =0

Let d1 and d2 be two lines such
that:

d1 : 4x + 3y =0

d2: 7x +
5y + 1 = 0

Both lines are intersecting at one point , then
the point of intersection sould verify both equations. Therefore te point is a common
solution for the system.

Then we need to solve the
system:

Let us use the elemination
method:

Multiply (1) by -5 and multiply (2) by
3:

-20x - 15 y =
0.........(1)

21x + 15x = -3
..........(2)

==> x =
-3

Now to find y, we will substitue with
(1):

4x + 3y = 0

==> y=
(-4/3)*x = -4/3 * -3 = 4

==> y=
4

Then both lines intersects
at the point (-3, 4)

What is the significance of the title "Mrs. Dalloway"?

Woolf once wrote that, "All human relations have shifted—those
between masters and servants, husbands and wives, parents and children. And when human relations
change there is at the same time a change in religion, conduct, politics, and literature."  If
this is to be understood in its fullest form, then then title being the name of Clarissa Dalloway
is important because it is through Clarissa and her party that we fully understand the force of
Woolf's statement.  The title becomes very appropriate because it is through Clarissa that we see
how all "relations" have changed.  Clarissa is the prism by which we see women and their roles
change, people and their perceptions change, and it is through Clarissa and the people who attend
her party that we fully grasp the divergence, and possible fragmentation, of society and human
psyches.  Her name should be in the title because she occupies the central force of the
novel.

Explain briefly about the relationship between Macbeth and Lady Macbeth through out the story of Macbeth. Explain how does it change as the story...

In Acts I and II of Macbeth, Macbeth
and Lady Macbeth are integrated (share the same views) in their desire for power.  Their
marriage seems to be a practical means to a political end.  Neither have married, it
seems, for love or children.  Rather, they seem intent are being collaborative power
brokers, using the semblance of marriage for show.

Lady
Macbeth knows that women have no independent power in Medieval Scotland; instead, women
must live vicariously through their husbands.  Therefore, she resorts to motivating
Macbeth by any means necessary: she de-genders herself privately and calls out his
manhood publicly.  Then, she devises the plan to murder the king.  Taken together, she
becomes a persuasive accomplice, a validation of Macbeth's own secret desire, a Freudian
id who sways him from away from the guilt
of superego.  Lady Macbeth, however, cannot cross-over into the
violent world of men; she cannot stab Duncan herself, which shows that she needs Macbeth
more than he needs her.

In Act III, after Macbeth has
become King, the relationship changes from integrated to more segregated.  There is a
division of labor in the marriage.  Her front-end work done, Lady Macbeth dissolves into
the background and into mental illness.  Macbeth does not consult her in the murder of
Banquo; rather, he wants to surprise her with his own plan and execution.  Macbeth goes
on more killing sprees ("blood will have blood"), while Lady Macbeth cannot reconcile
her guilt over the murder of Duncan, perhaps because he looks too much like her
father.

While Macbeth continues to let his
id run amok in Acts IV and V, Lady Macbeth becomes a sleepwalking
superego, confessing her sins to her chamber-maid nightly.  In the
end, the blood and guilt are too much, and she uses suicide as the ultimate cleansing
agent.  Macbeth, though, is determined to fight to the death.  Herein lies a major
gender difference.  Having been deceived by the riddles and plans of women, Macbeth
resorts to what men do best: combat.  His unremorseless soliloquy and show of violent
defiance are but his final assertions of unadulterated manhood: he is no longer married
to woman, God, or country; instead, he is a free agent thane hell-bent on
nihilism.

What were the negative effects of WWI?

In my opinion, by far the most negative effect of WWI was
WWII.  The first war led pretty directly to the second.

The
First World War led to a situation in which Germany (especially) felt the need for
revenge and the need to upset the status quo.  The Treaty of Versailles that ended WWI
took much of Germany's territory away from it and imposed crushing financial reparations
on it.  These led to a desire for revenge.  Germany also wanted to put an end to aspects
of the treaty that prevented it from having a serious
military.

By punishing Germany harshly, the Treaty of
Versailles led Germany to have a motive for starting WWII.  This makes WWII the main
negative effect of WWI.

What examples of the motifs of blood and sleep are in Act 2 of Macbeth?

In Act 2 of Macbeth, the motifs of
blood and sleep are seen after Macbeth murders King Duncan.  Specifically in Scene 2,
Macbeth runs back into his chamber to meet Lady Macbeth, and he is sure that someone has
heard him commit the murder.  He says that he thought he heard someone say "'Macbeth
does murther Sleep,'" and then Macbeth describes "the innocent Sleep" (II.ii.35).  The
motif of sleep relates to Macbeth's inner conflict and sense of guilt at comitting such
a crime to appease his own desires.  Further, the image of blood is present shortly
after when Lady Macbeth realizes that Macbeth is still holding the bloody dagger with
which he killed Duncan.  The motif of blood also relates to inner conflict and
guilt.

I need to find the solution of equation sin^3x*sin3x+cos^3x*cos3x=0

We'll use the identity of triple
angle:

(sin x)^3 = (3sin x - sin
3x)/4

(cos x)^3 = (cos 3x + 3cos
x)/4

We'll substitute th reltions above into
equation:

sin 3x*(3sin x - sin 3x)/4 + cos 3x*(cos 3x + 3cos x)/4 =
0

We'll remove the brackets:

3sin x*sin
3x - (sin 3x)^2 + (cos 3x)^2 + 3cosx*cos 3x = 0

We'll group the 1st
and the last terms:

3(sin x*sin 3x + cosx*cos 3x) + [(cos 3x)^2 -
(sin 3x)^2] = 0

We notice the
formula:

cosx*cos 3x + sin x*sin 3x = cos(3x - x) = cos
2x

3cos(3x - x) + cos 2*3x = 0

3cos 2x
+ cos 6x = 0

3cos 2x + cos 3*2x =
0

3cos 2x + 4(cos 2x)^3 - 3cos 2x =
0

We'll eliminate like terms:

4(cos
2x)^3 = 0

We'll divide by 4:

(cos 2x)^3
= 0 <=> cos 2x = 0

2x = +/-arccos 0 +
2kpi

2x = +/-(pi/2) + 2kpi

x =
+/-(pi/4) + kpi

x = (2k + 1)*(pi/4), where k is an integer
number.

The solutions of the equation are: {(2k +
1)*(pi/4)}.

How is Napoleon a more successful leader than Snowball in Animal Farm?

I think that Orwell makes the argument that Napoleon succeeds in
asserting control because he was concerned with both the revolution and his position after it.
Part of what makes Napoleon so successful as a leader is that Orwell constructs him as a leader
who has one eye on the present and another on the future. For example, in chapter 3, Snowball
exerts his energy organizing the animals into committees, while Napoleon takes the nine pups for
his own. They will later become his guards and his own "police force" that will instill law and
order when times are difficult. This is most notably seen in chapter 7 and the forced confessions
moment. The fact that Napoleon is operating in a position to consolidate his own power both in
concert with and divergent from the revolution is what makes him so successful in maintaining and
increasing his power over Animal Farm. It is in this light that Napoleon is seen in both his most
cunning and most brutal form as a leader.

What are some features of the society of Fahrenheit 451 that make it ideal or fair?

That is an interesting question, because it assumes that
their society is ideal, and tha it is fair.  One of the main points of this novel is
that it is impossible to be equal, fair or the same without some serious negative
repercussions not only to society, but also to one's well-being and happiness.  Sure,
everyone in Montag's society was equally entertained, equally mindless, and equally
accepting of life as it was.  But to get to that point, they had to give up
individuality, self-esteem (instead replacing it with an unhealthy focus on
appearances), freedom, intelligence, and the ability to think for oneself.  They stifled
creativity (unless in entertainment) and stereotyped those that DID think or stand out.
So, the society presented is not fair at all to people who want to use their own minds
to figure things out; in fact, it is downright dangerous to those types.  It's an ideal
place for people who don't want to think, but to simply be entertained and distracted
their entire lives.

Their society is only ideal if you want
a non-thinking society that is subconsciously miserable.  Their society is only ideal if
you want a society that foster true thought or freedom.  They do have ideal
entertainment, and as mentioned above, ideal response crews to medical emergencies. 
Also, they have the ideal police task force:  firemen who love their jobs and a
mechanical hound that almost always gets its target, with little effort or damage caused
in the meantime.  Their society is ideally positioned to maintain order and control
amongst its people--even if that does mean at the cost of happiness and
freedom.

In "Civil Disobedience," why does Thoreau think that a small handful of individuals can get away with perverting the government?If possible, please...

At the start of this essay, Thoreau argues that the war
with Mexico proves that the government of the US can be perverted by a relatively few
people.  To me, he is saying that the war is made possible by the fact that most of the
people of Massachusetts (and presumably other states as well) just do not care enough. 
I believe that it was Edmund Burke who said that all that is required for evil to happen
is for good men to do nothing.  This is, I think, what Thoreau is
saying.

Thoreau says that most people in Massachusetts, at
least, do not like slavery.  But they do not really care enough to do anything about
it.  Instead, they just go about their daily lives and don't pay that much attention to
slavery.  As Thoreau says:

readability="12">

There are thousands who are in opinion opposed
to slavery and to the war, who yet in effect do nothing to put an end to them; who,
esteeming themselves children of Washington and Franklin, sit down with their hands in
their pockets, and say that they know not what to do, and do
nothing...

To me, this is why
Thoreau thinks the few can win out.  The majority dont' care enough to stop the few and
so the few can pervert the government.

At the age of 30, Angela hesitates to commit herself to a lifelong marital relationship.Her stance is primarily determined by her belief that...

In any case study, there has to be some level of latitude
granted because of the lack of fully understanding the particulars of the case.  In what
I see, Angela has a fear of commitment.  The idea that personalities change over time
reflects this to me, as it is a justification/ rationalization that if something is not
perfect it should not be pursued.  In this sense, I define Angela's sensation of
"perfection" as one where individuals have to be able to calculate human choice and
autonomy to a precise and exact end.  The notion of "commitmentphobia" is something that
applies to both men and women.  It expresses a fear in decision making, a fear in making
the "wrong" decision, or something seen as such in the mind of the
individual:

readability="13">

The commitmentphobic mind sees
decisions as permanent, opening the possibility of being caged or trapped forever with
no means of escape. Commitmentphobia is a real disabling fear, that can be manifest in
many areas of life, including career, home ownership, or even shoe shopping. This fear
can make simple every day decisions into a tremendous
burden.

I think
that Angela might be enduring some type of this predicament with her fear that changes
in marriage results in something bad, changes that cannot be fully understood or
appreciated.  In recognizing this within the individual, there is a greater chance that
therapy and confronting it can help minimize the challenges caused within the
individual.

If you have to give another title to the story "A Worn Path." What would be this title?

Eudora Welty's main character is clearly pivotal to the theme
and plot of her narrative, so naming the story after her seems appropriate, especially because
the name of the old woman is so significant. With just "Phoenix" as the title, the reader will
associate the resurrection of the old woman from her sightings of ghosts, her falls on the
ground, her disappointments at not having money, her impediments of prejudice--all of which do
not deter her from obtaining the medicine for her grandson.  Moreover, in contrast to the
pitiable boy, old Phoenix even conquers death as she insists upon making the trip along the worn
path to the clinic.  And, in spite of the fact that the boy may well be already death.  But, in
her mind, the grandson of Phoenix is not dead; he too, rises from the ashes as she adamantly
keeps him alive in her mind, declaring,

readability="8">

...I remembers so plain now I not going to forget him, no,
the whole enduring times.  i could tell him from all the others in
creation.

How does the quote by Tea Cake in Chapter 11, "You got de keys to do kingdom," create an allusion to another kingdom?

You clearly meant "allusion," so I've made that change in
your question.

The first possibility that comes to mind is
an allusion to the heavenly kingdom. "The keys to the kingdom" is part of a bible verse;
Jesus says that he will give these to Peter (Matthew 16:17-20). This bible passage is
common in African American folklore, such as the tale of the "flyin' fool" in
The Norton Anthology of African American Literature. It seems to me
very likely that Hurston is recording a phrase that she's heard other black people
use.

Another possibility, of course, is a reference to Tea
Cake's heart. That's not so much an allusion as a metaphor, though. An allusion is a
clear reference to something, such a work of literature (the bible counts, of course, as
a work of literature). A metaphor is less specific in what it refers
to.

What is the main theme in R. Wright's Native Son?

The main theme of Wright's Native Son
has to do with the context of fear that people are forced to live under when
institutionalized racism is present in society.  The novel's protagonist Bigger Thomas
is so afraid that he will be accused of rape that he unintentionally murders Mary
Dalton.  Again, his fear causes him to act irrationally, irresponsibly, and immorally to
cover up his crime.  Bigger then becomes consumed by the fear of being caught that he
continues to behave in strange ways.  When he exerts violence against his girlfriend
Bessie and is caught, this rape and murder go virtually unnoticed when paralled to the
murder of Mary.  All these problems stem from Bigger's initial fear that he will be
accused by Mary's mother if she finds him in Mary's bedroom, a fear that is driven by
the institutionalized racism and stereotypes of the time.

Why does Hamlet appoint Fortinbras successor to his throne in Act 5?This question is from the play Hamlet, Act 5.

The answer to this question has its origins back in Act 4
when Hamlet sees Fortinbras and his army marching toward their battle in Poland.  Hamlet
asks several questions about this battle and learns that Fortinbras is heading into a
fight over a piece of worthless land, and Hamlet seems to question why so many men would
so willing go to their deaths for that, but realizes that there must be something rather
inspirational about Fortinbras that he can convince his army to do it.  In that scene he
calls Fortinbras a "delicate and tender prince" and while I don't know if that is really
true, (remember that he was originally planning an attack on Denmark with a bunch of
mercenaries!) Hamlet's perception is what matters and what influences his decision in
Act 5.  He respects that Fortinbras is taking strong action for something more about the
honor than actual physical or monetary gain.  Hamlet has been acutely aware of his
inability to act for the honor of his father and clearly sees what a foil Fortinbras is
to himself. 

In Act 5, after Claudius's death, Hamlet is
technically King for about 5 minutes and in those 5 minutes he does what he thinks is
best for Denmark.  He leaves Denmark in the strong and determined hands of a noble man
who is able to form a plan and carry it out; who seems fearless; who acts for honor's
sake; and who Hamlet thought was fine prince.  While it is not ideal to leave the
kingdom in the hands of a foreigner, what other viable options are left?  Horatio is not
noble and not Danish.  The kingdom of Denmark with the loss of its entire noble family
would be thrown in political and social chaos if strong leadership doesn't take the
reigns, and Hamlet ensures that that is what happens.

In "Just Lather, That's All," identify the relationship that exists between the narrator and Captain Torres.

Great question. It is clear that at the beginning of the tale
the narrator is terrified of Captain Torres - he is forced to "conceal his emotion" and knows
well the kind of ruthless individual he has before him, having witnessed what he has done to his
fellow rebels before. And yet, it is clear that by the end of the story, both characters seemed
to have formed some kind of grudging respect for the other. The narrator is faced with the
dilemma of whether he should kill the Captain or not, and in the end
concludes:

But I don't
want to be a murderer. You came to me for a shave. And I perform my work honourably... I don't
want blood on my hands. Just lather, that's all. You are an executioner and I am only a barber.
Each person has his own place in the scheme of
things.

The narrator therefore seems
to identify that both he and Captain Torres have their own "place in the scheme of things" and
that they both have different expertise. This evidence of grudging respect is seen by Captain
Torres as well, for at the end of the story, in a surprising twist, he reveals that he knew the
narrator was in league with the rebels, and yet he lets him
live.

Therefore when we think about the relationship between the
narrator and Captain Torres, we are shown a relationship that is based initially on power and
fear, yet it comes to be characterised by a kind of grudging respect and realisation about the
place that each occupy in the world and how hard it is to be a murderer.

Suzy is ten years older than Billy, and next year she will be twice as old as Billy. How old are they now?

Let the age of Suzy be S. It is given that she is 10 years older
than Billy. Let Billy be B years old. So S = B+10

Next year Suzy
will be S+1 years old and Billy will be B+1 years. Also, Suzy will be twice as old as Billy.
Therefore S+1 = 2(B+1)

=> S+1 = 2B +
2

=> B+ 10 +1 = 2B +2

=>
B+11 = 2B +2

=> B = 9.

So Billy
is 9 years old and Suzy is 9 +10 = 19 years old.

There
ages of Billy and Suzy now are 9 and 19 respectively.

Brief information about the book, Antigone?By Sophocles

Antigone, by Sophocles, is one of
three plays in the Oedipus Trilogy.  Chronologically, the story of
Antigone takes place after Oedipus' banishment from Thebes.  While
Oedipus is wandering in the wilderness looking for a place to die, his daughter Ismene
finds him with the news that his sons (her brothers) Polynices and Eteocles have
quarreled over who is to rule Thebes.  Polynices has left home to find help and support
for his claim to the throne.  He eventually comes to Oedipus for support, and in one
final moment of impatient rage, Oedipus curses his two sons, announcing that they will
kill one another.

This is exactly what happens.  Eteocles
and Creon (Oedipus' brother in law) defend Thebes against Polynices and Adrastus (king
of a neighboring city).  The brothers eventually kill one another in
battle.

As a result, Creon is made king.  He issues a
decree that Eteocles shall have a hero's funeral with full burial rites, because he died
fighting for Thebes.  Polynices' body, he declares, is not to be touched, because he was
a traitor.  Meanwhile, Ismene and Antigone (sisters and Oedipus' only remaining
children) are left helpless to bury their brother Polynices, whose soul they believe
will never enter the afterlife if his body is not properly buried (it was the women's
job in this culture to take care of the dead).

Antigone,
more courageous than her sister, defies Creon's decree and buries her brother.  Creon,
without knowing who did it, announces that the person guilty of the act will be punished
by death.  The rest of the drama basically shows how Antigone stands up for what she
believes in, even though it means fighting her own family and risking her
life.

How do you solve this inequation: √x -3 >= 1/(x - 3)?

First, we'll impose the constraints of existence of the square
root:

x - 3>
=0

x>=3

Now, we'll solve the
inequality by raising to square both sides:

(x - 3) >=1/(x -
3)^2

Now, we'll subtract 1/(x - 3)^2 both
sides:

(x - 3) - 1/(x - 3)^2
>=0

We'll multiply by (x-3)^2 the
inequality:

(x - 3)^3 -
1>=0

We'll solve the difference of cubes using the
formula:

a^3 - b^3 = (a-b)(a^2 + ab +
b^2)

(x - 3)^3 - 1 = (x - 3  -1)[(x-3)^2 + x - 3 +
1]

We'll combine like terms inside
brackets:

(x - 4)[(x-3)^2 + x - 3 + 1]
>=0

A product is zero if both factors have the same sign.
We'll get 2 cases to analyze:

Case
1)

x-4>=0

x>=4

x^2
- 6x + 9 + x - 2 >=0

x^2 - 5x + 7
>=0

x1 = [5+sqrt(25 -
28)]/2

Since delta = 25-28 = -3<0, the
expression

x^2 - 5x + 7 > 0 for any
x.

The common solution is the interval [4,
+infinity).

Case
2)

x-4=<0

x=<4

x^2
- 5x + 7 <0 impossible, because x^2 - 5x + 7 >0 for any value of
x.

The solution of the inequality is the interval [4,
+infinity).

Write a summary on the poem "Full moon and Little Frieda" by Ted Hughes in full details line by line.

I cannot do this assignment for you, but I can give you
some input to make it easier for you to do. Part of the reason is that, first and
foremost, everyone responds differently to a poem, so my
impressions may not be the same as yours, but I'll tell you what I
think, and you can decide what you
think.

First of all, the poem is about the full moon, which
may seem obvious, but it is also about "little Frieda." (Frieda is the late Ted Hughes'
daughter.)

By working backwards,
and remembering the title, you can understand that "you" in
the poem is the poet speaking to his daughter—and because he calls her "little," she
must be young.

Frieda has, obviously, looked up into the
sky at night to see, and perhaps to point, at the moon.

The
fact that there is an exclamation point at the end of the word "moon" each time it is
repeated lets you know she is very excited by seeing the moon on
this particular night.

If you now go back to the beginning
of the poem, you will perhaps notice that there is a great deal quietly going on during
this "cool small evening."

A lot of imagery is used here to
paint mental pictures in the reader's mind.

There is a dog
barking, and the clank of a bucket (meaning it must start out empty at the beginning of
the poem). Since that bucket and "milk" are discussed in the poem, we can assume that
the little girl has been [probably] with her dad as he milks the cow. Being so small it
would no doubt be hard for her to carry the pail alone, but perhaps she is helping her
father.

There is a spider web described that will hold
drops of dew on it by morning, and now again, the pail...full of milk this
time.

The first star has come out. Cows are meandering back
from the fields, and you can see their breath in the cool air as they pass the
hedges.

I can't be sure about the line "dark river of
blood," except to surmise that there may also be a pond there, and it may appear like
blood in the darkness, there with the boulders that may encircle it
or that the water encircles.

While
balancing the pail of milk, the little girl sees the moon and exclaims with
excitement.

However only the poet can see, as a father,
that as excited as she is about the moon, the moon, like an artist,
is amazed too by looking at this beautiful work of nature—this child—who looks back
amazed at the moon, like two mirrors reflecting back on each other.  (This last line is
great!)

Not only is there imagery used, but specific
examples of imagery are personification and
onomatopoeia.

Hope this helps!

Explain this quote in the context of the story. How did these events cause Lizabeth to lose innocence and find compassion for others?Story:...

In the short story "Marigolds," by Eugenia Collier, the
reader is presented with the characters of Miss Lottie, Lizabeth and her brother
Joey.

The setting of the story is the Great Depression that
began in 1929 with the Stock Market Crash. And while the rest of the world is suffering,
the area in which Lizabeth and Joey reside suffers more than the rest as they had so
little to begin with.

One night Lizabeth hears her father
crying because he cannot find a job. His wife works for white folks up the road, and he
hates not being able to provide for his family. He especially resents charity shown to
them by the family that employs Lizabeth's mother.

This is
the first thing in the story that foreshadows Lizabeth's loss of innocence. To this
point, she has worried about little other than playing, though she also feels that
things are very different between her and the other, younger
kids.

Lizabeth becomes frightened by what she hardly
understands and what she has no power to control, and she leaves the house in the middle
of the night with Joey. Without knowing how, she ends up at Miss Lottie's
shack.

Miss Lottie has very little, but she has tried to
fight the overpowering sense of poverty and loss with a garden full of marigolds. They
are as bright as the sun, and hopeful as they attempt to not just hang on, but to also
survive and thrive (much like the people in the story). This is the one beautiful thing
in Miss Lottie's life, and in Lizabeth's life as well.

A
madness seems to overtake Lisabeth, and she rips up the flowers in a fit of pure rage.
Joey yells for her to stop, but her sorrow and fear deafen her to what he says. In a
moment, the garden is destroyed, and apologize as she does, with offers to help fix it
again, Miss Lottie never again grows another marigold.

It
is at this point that Lizabeth has suddenly turned an important corner in her
life.

She sees the uncertainty and the ugliness of the
world around her, especially in light of her father's
difficulties.

Lizabeth suddenly understands that when you
are a child, you see the world simplistically, in black and white. You do not look below
the surface of what happens around you, but accept everything based upon its
appearance.

When Lizabeth can no longer do this, her eyes
are opened to life. When she looks at what she has done to Miss Lottie's garden, to that
one corner of the older woman's life that provides a buffer between herself and the hard
world in which she lives, she understands that Miss Lottie now has to face—up close—the
hard reality of her life, without beauty in her world that seemed to alleviate some of
the loneliness and heartache.

Lizabeth sees herself
differently too: in knowing and accepting what she has done, she must accept the
responsibility of it, leaving childhood behind. She is humiliated knowing that she has
done something awful, and more so, has looked into the life of another, no longer
existing in her own little world.

In the face of Miss
Lottie's loss, Lizabeth experiences, for the first time, compassion. This is the feeling
that comes with recognizing someone else's pain. An innocent child cannot do so, having
no grasp of another's suffering, being still very self-centered. But as almost a
grown-up, with an awareness of pain, Lizabeth can understand the enormity of what she
has done—and what cannot be
undone.

Collier sees this Lizabeth's
right of passage from the world of a child to the world of an adult who cannot hide from
life's glaring realities any longer.

Does "The Sniper" contain any symbolism?

This is a good question, because, at first glance, this
story of suspense does not seem to contain anything that could be argued to be a symbol.
However, I think there is a case to think of the body of the sniper's enemy as a symbol
of a much wider issue: the horrors of civil war and how it divides families and rips
countries apart.

To me, one of the most significant parts
of the story is when we are told how the sniper feels after he has vanquished his
opponent, and he sees his enemy's corpse fall off the roof and onto the ground "with a
dull thud." The next paragraph, to my mind, is one of the most important in the whole
tale because it effectively foreshadows the revelation at the
end:

The
sniper looked at his enemy falling and he shuddered. The lust of battle died in him. He
became bitten by remorse. The sweat stood out in beads on his forehead. Weakened by his
wound and the long summer day of fasting and watching on the roof, he revolted
from the sight of the shattered mass of his dead enemy. His teeth chattered, he began to
gibber to himself, cursing the war, cursing himself, cursing
everybody.

Here we see the
emotional impact of the civil war on the sniper himself as he begins to realise the
horror of what is going on. In his weakened, emotional state he becomes full of
"remorse" and begins to curse "everybody". This leads up to the final revelation of how
he has actually killed his brother, but it also, to my mind, acts as a wider symbol of
what the author is trying to communicate: civil war destroys whole nations but it also
operates on a much smaller level, destroying families and pitting them against each
other.

How does the late medieval morality play Everyman begin, and what are some ways to interpret its beginning?

The late medieval morality play Everyman
opens when a "Messenger" speaks directly to the audience and asks them all to give their
attention to this "moral play" (2) -- that is, a play designed (as most medieval plays were) to
teach moral lessons. The messenger announces that the precise title of the play is The
Summoning of Everyman. This title would already have suggested to most audience
members what the subject of the drama would be: the summoning of every individual human to death
and to appearance before God.

The Messenger then announces that the
play "our lives and ending shows" (5). Interestingly, this phrasing suggests that although we
live various kinds of lives (plural), our ending (singular) is the same: we all end in death. By
using the word "our," the Messenger acknowledges that he is a mere human as well. He doesn't
speak down to us (at least not figuratively, although he probably stood raised above the
audience). We are therefore more likely to listen to his
message.

The play, he continues, will show "How transitory we be all
day" (6) -- in other words, how subject we all are to change or "mutability." Mutability was a
favorite theme of medieval and Renaissance literature, and so it is not surprising that we should
find that theme seem so blatantly emphasized at the beginning of this drama. Once again the
Messenger shows, by using the word "we," that he is no better than the people he
addresses.

The Messenger next declares that the meaning and subject
"matter" of the play are wonderfully precious,

readability="7">

But the intent of it is more
gracious

And sweet to bear away.
(8-9)

These statements may seem ironic
in a play that will end by depicting a man descending into his grave, but they make perfect sense
from a Christian point of view (which is the point of view of the author, the play, and almost
all members of the audience). The purpose of the play is to help us all prepare for death so that
we can actually find it a joyous occasion (as Everyman later will). The author, then, has a
literally "gracious" intent: he wants to help show us how to receive God's grace. The final
effect of the play, then, should be "sweet" and pleasing.

In line
10, the Messenger actually alludes openly to the beginning of the Bible, but the allusion here
also reminds us of our own individual beginnings: we should, the Messenger suggests, live our
lives in the constant consciousness of death. We should continually remember that we are going to
die and that life is partly a means of preparing for the right kind of death. Awareness of death
will give meaning to our lives, and we should cultivate such an awareness even if we are happy or
"gay" (12).

The Messenger declares that we all consider sin "in the
beginning full sweet" (13), and surely this is true; otherwise we would not sin. However, the
apparent sweetness of sin is short-lived, unlike the kind of spiritual sweetness promised in line
9.

Sin may cause eternal pain to the soul even when the body is dead
(14-15). If we pay careful attention to the play, we will witness how all earthly pleasures fade
(16-18). Now we should prepare for the appearance of God on stage, who will call "Everyman to a
general reckoning" (19-20) -- that is, to a complete accounting of the sort that awaits us
all.

The opening speech, then, announces many of the crucial themes
of the play. The Messenger creates some suspense (will Everyman survive his reckoning?), but
there are no doubts about the play's moral purpose.

In regards to The Scarlet Letter: What does Hawthorne view as the role of suffering in the human condition?Nathaniel Hawthorne's The Scarlet Letter

Nathaniel Hawthorne used the character of Hester Prynne as
social and moral scapegoat whom society felt free to judge, condemn, and accuse at their
leisure.

However, he was wise in his characterization of Hester for
she was an independent, morally unbound, passionate, and self -sufficient woman who withstood
like a warrior all the mockery and hurt that the hypocritical settlers bestowed upon her with
their "holier than thou" attitudes.

Moreover, he made Hester a
strong-willed woman who would stand by her word, by what she believed in, and even by Dimmesdale:
She was incapable of accusing him of what he did to her, and she preferred that he kept a life
without the troubles that awaited her own life.

Yet, within all her
strength, Hester did suffer. She simply suffered stoically and with less rancor than a weaker
person would have suffered. This suffering, by her own admission, was precisely what made her
stronger and less bound to fall for the trivialities of life. It was pain which made her more
protective of her daughter; her isolation made her more aware of the needs of others for whom she
was always available.

In other words, Hawthorne viewed suffering as
a necessary catalyst in the lives of individuals. One that would transform us into stronger
individuals, more resilient, and more able to understand the depths of humanity by bringing us
closer to our own needs.

How to determine the antiderivative of function ln x/square root x?

f(x) = ln x / sqrtx

==> u=
ln x ==> du = 1/x dx

==> dv = (1/sqrtx) ==> v =
2sqrtx

==> Int u dv = u*v - INt v
du

= 2sqrtx*ln x - Int (2sqrtx/x) dx

= 2sqrtx*lnx - 2*Int 1/sqrtx dx

= 2sqrtx*lnx -
2*2sqrtx

= 2sqrtx*lnx - 4 sqrtx

=
2sqrtx(lnx -2)

(((To prove tthat Int 1/sqrtx dx = 2sqrtx
:

Let u= sqrtx ==> du = (1/2sqrtx)
dx

==> du = 1/2u dx

==>
2u du = dx

==> Int 1/sqrtx dx = Int 1/u * 2u du = Int 2 du =
2u = 2sqrtx ))))

==> Int lnx/sqrtx =
2sqrtx*(lnx -2).

In the given problem f(x)=x*h(x), find f`(0) given that h(0)=3 and h`(0)=2, where f`and h`mean f prime and h prime.

Here we are given with the relation f(x) =
x*h(x)

Now we have to differentiate f(x) to get the
required answer. Using the product rule which states that the derivative of f(x)*g(x) is
f'(x)*g(x) + f(x)*g'(x) we get :

f(x) =
x*h(x)

=> f'(x) = x*h'(x) +
h(x)*1

Now for x =0 ,

f'(0) =
0* h'(0) + h(0)

=> 0 +
3

=> 3.

Here we don't
need to use h'(0) = 2 as it is being multiplied with 0 and therefore gets
eliminated.

So the required value for f'(0)
is 3

Given the real number a calculate tan2a if sina + cosa = 1

sina+cosa = 1

To find tan 2a
.

We  put cosa = sqrt(1-sin^2a) in the given
equation:

sina +sqrt(1-sin^2a) =
1

sqrt(1-sin^2a) =
1-sina.

Square both
sides:

1-sin^2a = 1 -2sina
+sin^2a

0 = -2sina +
2sin^2a

2sina(sina -1) =
0

sina = 0. Or sina = 1.

For
sina = 0 , we get:a = 0. , or a = pi. 

For sina = 1, a = 90
degree.

 Therefore  , when a = 0 or pi,   tan2a =
0

When a = pi/2 or 90 degree,  tan2a = tan pi =
0

So  tan2a = 0.

What kinds of problems would ending slavery have caused the nation before the beginning of the civil war?

I think that the problems would have been much the same as
they were when the country ended slavery after the Civil War.  The country would have
had to deal with the issue of what to do with all those freed slaves.  The one
additional issue would have been the issue of paying for the freed slaves.  The country
would have had to work out whether it would pay the slaves' owners.  If it did, it would
have had to come up with the money to pay for that.

Outside
of this, though, the main problems would have been the same.  The slaves were a group of
largely uneducated people with few skills.  Once freed, they had to be given a place in
the economy -- one that they could do but which would not just amount to a return to
slavery.

What function does the concept of Bunburying play in connection to gender and identity in The Importance of Being Earnet?

The central conflict of the this great play comes about because
of Bunburying. According to Algernon, both he and Jack are "confirmed Bunburyists." Jack has no
idea what he is talking about and either does the audience until Algernon explains that he has an
imaginary friend who is very ill. This man's name is Mr. Bunbury, and whenever Algernon has a
social obligation he would rather avoid, he claims that his good friend Bunbury needs his
immediate help in the country. Once he we hear his explanation, we realize we are ALL
Bunburyists. We have all made up excuses, blaming obligations to other people, to get out of
social events, work, blind dates, etc.

Jack is also a Bumburyist. He
generally lives in the country, and tells them that he has to deal with his brother Ernest in the
city, and then when he is in the city, he says he IS Ernest. He too is creating an excuse to get
out of obligations and the boredom of life in the country. Clearly, Jack is re-creating his whole
identity with this deception. He gets to be a completely different person in the city.

That both of these men have gone to these extremes to give
themselves social freedom makes an interesting point to the theme of the play. Are men seen as
needing these kind of ruses to avoid the weight of society? Why can't or
don't the female characters do the same thing? Do they, but in different ways? (ie. Cecily's
"fictional" diary; Miss Prism's three-volume novel). That the men get caught and get away with
the deceptions is also interesting. Does this play suggest the stereotype of the double standard
for men and women -- that men can get away with a lot more than women without fear of how their
actions will affect their reputations and their marriage prospects? Wilde's play is a brilliant
satire, and these issues are at the forefront of what he saw as the flaws in English
society.

What are some thoughts and reactions to the effectiveness of the chapters 17 through 21 in the novel The Grapes Of Wrath?

In Chapters 17 through 21 of John Steinbeck's
The Grapes of Wrath, the reader is struck by several central
aspects of the life of the migrant workers and the harsh reality of the world they have
left and the one they are now traveling through. His characterizations and plot
development are particularly effective in portraying life during the Great
Depression.

Steinbeck most effectively draws the reader's
attention to the continuing importance of family. Groups that travel the road, camp
together for comfort and companionship, further emphasizing the need for family and
community. Those who do not follow the rules are asked to
leave.

Loss of family is seen poignantly in Noah's
departure, Mrs. Wilson's impending death, Floyd's arrest and then Casy's, Connie
attempting to leave Rose of Sharon, and ultimately, the death of Granma. Ma observes
that "the family's fallin' apart."

Another central focus of
these chapters is the distinction between the "haves and have-nots." The migrant workers
are moving westward to escape the devastation of the Depression for what is now known as
the "dust bowl," believing in the American dream—that the U.S. is still the "land of
opportunity." However, at every turn, they are met with resistance, illegal and brutal
treatment, fear, and resentment. The landowners who have descended from those who took
land from others in California, now fear that the same will happen to
them. The migrant workers are not trying to
take anything, but the landowners arm themselves and try to squash
people who are already disenfranchised.

Finally, Steinbeck
more than effectively describes people who have lost everything, and live their days
haunted by hunger, fear, loss and death. People like Ma and her family try desperately
to hold tight to their hopes of a better life. Tom becomes increasingly angry at the
injustices he sees visited upon his family and others, while Ma cautions him to take
care and not violate the terms of his parole. In essence, Ma is trying to salvage what
is left of her family: those directly related to her, and those they joined with on this
trip. As the story progresses, this becomes more and more
difficult.

Why did many Southerners believe that they were the victims of an antislavery conspiracy?

I think that first you have to realize that many people tend to
feel that there is a conspiracy against them when things don't go their way.  That is why, for
example, the Tea Party thinks Obama is trying to make America become socialist and/or Muslim and
why liberals thought that Bush was trying to turn the US into a theocracy or a country run by big
business.  Therefore, it is not that surprising that Southerners thought there was a conspiracy
when they did not get their way.

This sort of thinking was spurred
on whenever events seemed to go against them.  For example, when the Wilmot Proviso was inserted
into various bills around the time of the Mexican-American War, they thought that showed the
government was against them.  Or when Northerners resisted the Fugitive Slave Act, they felt the
same.  Finally, when an anti-slavery candidate (Lincoln) was elected, they felt that proved that
the North was conspiring to end slavery forcibly.

Can you give me a critical analysis of "The Lady of Shalott"?

One helpful way of beginning to analyse this poem is by
noticing the central division that Tennyson creates. In this unforgettable poem by
Tennyson the central contrast of the poem is between the world of shadows of the Lady of
Shallot and the world of colours of Sir Lancelot. There exist many examples of irony in
the poem, which are well worth analysing in order to think about what Tennyson is trying
to say.

At the end of the poem it is ironic that it is only
when she sings her last song that she is heard by more than a handful of men, and
likewise it is only in her death that the beauty is recognised of a lady who had "no
loyal night and true." Despite this, she remains an object of mystery and even fear, and
the reader is left wondering if anyone understands her character and her death at the
end of the poem.

In her choice to embrace life, she has
also embraced what comes with life - death. However, ironically, death seems to preserve
her character and beauty forever more in a way that would not have occurred had she
remained in her tower.

However, by leaving her tower, she
has ultimately replaced one uncomprehending picture of herself ("The fairy/Lady of
Shallot") with another, and if we see one of the themes of the poem as being about the
Victorians' idealisation of women, we are left unsure whether Tennyson is celebrating
this idealisation or criticising it. Thus the poem discusses the distinction between
"Art" and "Life", and we can see through his poem that he is pointing towards the
potential tragedy if "Art" tries to enter into the realms of
reality.

What is the central conflict in the play Antigone and how is it resolved?

The central conflict in Antigone has to do
with the object of one's reverence:  the laws of man, or the laws of the gods.  Antigone argues
that the laws of the gods are much more important than the laws of man, so she resolves to bury
her brother Polyneices even though Creon has ordered that anyone who tries to bury the body will
receive the penalty of death.  Creon believes that the laws of man are above all, and he does not
make an exception in this regard.  What appears to be Antigone's struggle at the beginning of the
play slowly shifts to Creon's struggle as his son begs him to reconsider his rule.  Haemon is
supported by Teiresias and the people of Thebes, but Creon does not bend until it is too
late.

What is the role of the mother in The Giver?

Parents do not play the same role in Jonas’s community as
they do in ours.  In our world, adults choose their spouses based on love and decide
whether to have children.  In Jonas’s world, adults apply for spouses that are then
selected by committee.  The relationships are designed entirely for the purpose of
raising children.  Adults apply for children, raise them, and then
separate.

Jonas’s mother does not love him the way mothers
are supposed to in our world.  Love does not exist in the community.  Parents care for
their children, and enjoy spending time with them.  This is not the same as love. 
Parents serve as more of a teacher or guide.  Their role is to teach the children they
raise how to behave in the community, and to ensure that they are raised without
feelings.

In the story, Jonas’s mother and father both
serve as a window for the reader into the system of justice employed in the community. 
She works for the Department of Justice as a sort of judge.  She is responsible for
determining the punishments of people who break the community’s rules.  For example,
anyone who breaks three rules is released (killed).  Similarly, through Jonas’s father
we learn how babies are raised and that babies who do not meet developmental
requirements are also released.

What is a if (2-i)(a-bi) = 2+9i ?

We have to find a given that (2-i)(a-bi) =
2+9i.

Now, (2-i)(a-bi) = 2+9i

=>
2a -ia -2bi + bi^2 = 2+ 9i

=> 2a - ia - 2bi - b = 2+
9i

=> 2a -b -i ( a+ 2b) = 2+
9i

Equate the real and imaginary
coefficients.

We get 2a -b = 2 and a + 2b =
-9

Now as 2a -b = 2 => b = 2a -
2

substitute this in a + 2b =
-9

=> a + 2*( 2a - 2) =
-9

=> a + 4a - 4 = -9

=>
5a = -5

=> a = -5/5 =
-1

Therefore the required value of a is
-1.

1. Why does the resistance of a conductor increase with temperature while that of a semi-conductor decreases with temperature?

In a semi-conductor such as silicon, carbon or germanium,
as temperature rises, electrons leave the crystalline arrangement and are set free to
move around. The location they move out from is left with what is called a hole. The
conductance in semiconductors is due to the holes and the free electrons. As the
temperature rises it creates more free electron and holes. This gives semiconductors a
negative temperature coefficient of resistance. In a conductor like a metal the
resistance rises with temperature as the increased vibrations in the atoms impedes the
free movement of electrons.

Racism is the most obvious form of discrimination. Compare and contrast the other types of prejudice and discrimination other than racism.other...

Boo Radley is another major victim of prejudice. He is the
subject of the gossip of the town, with claims such as that he wanders the town at night and
dines on cats and squirrels. Boo has been under house arrest (by his father) since he was a teen
when he allegedly stabbed his father with a pair of scissors. The town views him as a monster,
someone so different as to be feared (like Tom). Of course, it turns out that, like Tom, Boo is
an innocent person who has only looked for ways to help people; Tom was trying to help Mayella
and Boo helped Jem and Scout.

There is also prejudice against the
poor.  Calpurnia scolds Scout for making fun of Walter. Prejudice against the poor includes the
Ewells. There is nothing redeeming about Bob and judgments against him are justified.  But like
Boo, Mayella is the product of an abusive father. This is not to say that Mayella’s lying in
court is justified as it leads to Tom’s imprisonment and death. But Mayella, the Ewells and the
Cunninghams are subject to prejudice. Atticus makes this point. With Mayella, it is more
complicated because she is the product of a bad situation, but doesn’t rise above it as Boo does.
You are correct that racism is the prominent form of prejudice. The court takes Mayella’s word
and Bob Ewell’s word over Tom’s. The jury’s conditioned racism trumped the clear evidence and the
obviously dubious and devious testimony from Bob.  It may be difficult to see the Ewells as
victims of prejudice since they are always referred to in malicious tones. But this is mostly a
reflection of Bob Ewell himself. Beyond that, condescending attitudes towards the Ewells have
something to do with their behavior (which I would also blame mostly on Bob) but also a general
prejudice against the poor.

I have to imagine that I'm Curley's wife and write a letter to her best friend, telling her about the first few weeks of married life.Could...

Curley's wife is a lonely young woman married to a bully.
She's isolated on a ranch full of men and just wants someone she can talk to. She flirts
with the other men because of her need to be noticed. Curley treats her like a
possession and is insanely jealous if she even tries to talk to anyone. The men on the
ranch consider her a "tart", a woman who can only cause trouble, so they refuse to have
anything to do with her.  Does she understand why the other men won't talk to her? Stop
for a moment and put yourself in her place. How would you feel if you had no one to talk
with? Imagine how terrible it is to be married to Curley. He is mean and cruel and tries
to keep her even more isolated by having to know where she is at all times. Curley's
wife had wanted to be a movie star, so that gives you a good idea of what she might want
for the future. More than anything, she wants human contact and someone with whom she
can share her feelings.

Why does Prince Prospero seal himself and his guests in the abbey in "The Masque of the Red Death"?

Prince Prospero sealed himself and his guests in the abbey
for more than just one reason, when you really read about
it.

The obvious reason is, of course, escaping the Red
death. This disease was supposedly ravaging the town and Prince Prospero had the
opportunity (due to his rank and position) to localize the disease and move away from
it.

The second reason, however, is because he wants to
flaunt precisely the fact that he thinks that he is in control, and he invites his
courtiers sort of to re-establish his invincible position, entertain them, and show them
how much money can actually buy.

Third, he wants to use
this escape as an excuse for non-stop irresponsible behavior. While the Red death
loomed, people had to be careful not to become sick. Now that the courtiers were away,
they felt safe enough to want to tempt fate. They were feasting, and celebrating being
better than everyone else.

Yet, when the Red death showed
up IN the abbey and surprises everyone, the real weakness of human reality exposes
itself.

Did any details in "The Most Dangerous Game" demand that you suspend your disbelief?

I, too, found several things a bit unbelievable--or perhaps
unrealistic--even in the context of a rather outrageous story. "The Most Dangerous Game" is an
implausible tale in almost every way, but I find the fact that Ivan has been treated so cruelly
yet stays with General Zaroff to be a bit much. I understand it to some degree, but even the fact
that he gets to be cruel to others does not seem a compelling enough reason for him to
stay.

I also find it a bit unbelievable that Rainsford does not do
more to get out of the situation before the actual "hunting expedition" begins. He is certainly
crafty enough and capable enough, and he is fighting for his life, after all.  Why does he not do
more to avoid the confrontation? All that being said, though, I still find this a satisfying
story to read and enjoy.

In Romeo and Juliet, what are some character traits of Lady Capulet and Capulet in Acts 4 and 5? Please provide textual evidence.

In my opinion, throughout Act IV and V, the Capulets
corporately experience the gamut of emotions. Since their daughter is now appearing to
be cooperating with them at the beginning of the fourth Act, they are
pleased.

readability="14">

Why, I am glad on't; this is well: stand
up:
This is as't should be. Let me see the county;
Ay, marry, go, I
say, and fetch him hither.
Now, afore God! this reverend holy
friar,
Our whole city is much bound to
him.

Capulet is so pleased
that he agrees to arrange the wedding and act as the "housewife" for the event. He plans
to see to it that everything gets done. This gesture demonstrates either
control or genuine kindness to
his wife, or maybe both.

Lady Capulet turns very
helpful to Juliet as demonstrated in this
quote:

What,
are you busy, ho? need you my
help?

Then when Juliet fakes
her death, they both seem sincerely grieved as they
mourn her death. Lady Capulet
says:

readability="14">

Accursed, unhappy, wretched, hateful
day!
Most miserable hour that e'er time saw
In lasting labour of his
pilgrimage!
But one, poor one, one poor and loving child,
But one
thing to rejoice and solace in,
And cruel death hath catch'd it from my
sight!

Capulet responds
similarly:

readability="14">

Despised, distressed, hated, martyr'd,
kill'd!
Uncomfortable time, why camest thou now
To murder, murder
our solemnity?
O child! O child! my soul, and not my child!
Dead art
thou! Alack! my child is dead;
And with my child my joys are
buried.

Although their
mourning may be sincere, this also shows great selfishness
on both their parts. They speak of Juliet as an object that death has taken and they
consider how it affects each of them, not why she died.

The only other time we see them in Act V positions both of
them to feel great remorse for what has happened... again.

How does Macbeth define the meaning of pure evil and its vision? (Vision of pure evil.)

In Act 1 a wounded captain has come out of the battle to
tell King Duncan about the manner in which Macbeth has destroyed the merciless
Macdonwald. The passage is perhaps the most violent in all of
Shakespeare.

readability="7">

Till he unseamed him from the nave to th’
chaps

And fixed his head upon our battlements.
(!.ii.20-21)

Later, one of
the nobles is explaining to King Duncan about another tremendous victory of Macbeth and
Banquo’s in which Macbeth is described as Bellona’s bridegroom. Because Bellona is the
goddess of war, this means that Macbeth is being called the god Mars himself, a great
killing machine. It is this extraordinary personage, a man of ordinary intellect but a
fantastic power of imagination that has a tremendous potential and skill for killing.
Shakespeare sets Macbeth up as a killer from the very beginning of the
play.

In Romeo and Juliet, do human beings cause all of their own problems bring out their own fate?a peice on each relevent character and discuss fate...

This could be analyzed by looking at 3 of the main
characters: Romeo, Juliet and Mercutio.

Romeo is portrayed
from the beginning of the play as a fickle young man. Even the Friar suggests this after
Romeo meets Juliet, and the Friar cannot believe Romeo has dropped his previous
obsession, Rosaline, so quickly. One of Romeo's greatest faults is his thoughtlessness.
Though one could argue that his actions were motivated by something deeper than thoughts
- they were motivated by love, if he was really thinking of Juliet and not just acting
upon his feelings and hormones, he would realize that pursuing her so rapidly and so
seriously was putting her in jeopardy.

Juliet, too, makes
her own share of mistakes, though. By sneaking around behind her parents' back, she is
asking for trouble. Capulet's reaction, as well as Lady Capulet's reaction, to Romeo's
presence at their party the night that Romeo and Juliet met, suggests that perhaps they
are not so firm in their hatred of Romeo, as they are in hatred of Romeo's family. They
knowingly let Romeo stay. Perhaps if Juliet would have slowly tried to win her parents
over to the idea of being with Romeo, they wouldn't have been as against it as she
suspected.

Finally, we have Mercutio, the most impulsive of
them all. He says what he wants, when he wants to say it and to whomever he chooses. He
is hot tempered and reacts quickly and without much thought to any and all attacks on
him or his friends. When Tybalt shows up, it only takes a few words to get the men to
draw their swords. This decision ultimately ended in his own death, followed closely by
Tybalt's. Though Mercutio sort of places the blame on Romeo when he asks "why cam you
between us?", if his temper had not been so hot, he may not have
died.

Discuss examples of hypocrisy in The Crucible.Identify specific moments of hypocrisy.

Part of what makes Miller’s work so powerful is that it brings
out the hypocrisy that is present in the time period of Salem.  At the same time, the reader
cannot help but to take the hypocrisy that Miller has presented in Salem and apply it to their
own contexts, forcing a true and reflective analysis of hypocrisy to take place.  We can see this
from the opening scene, where Parris “is concerned” about what happened in the woods with the
girls.  He reveals that his only motivation is for his own position and not out of any real sense
of parental concern or concern for his flock as a pastor.  The Putnams are a walking example of
hypocrisy, as Ann Putnam speaks to her fear of witches, but really is nursing anger out of her
miscarriages, a source of envy of Rebecca Nurse’s bounty of children.  Her husband is not much
better.  As Giles Corey unsuccessfully brings to the court’s attention, Thomas Putnam is not
concerned with finding witches, but rather seeks to only take the land of the accused and sell it
at a higher price.  One could make the argument that the judges, Hathorne and Danforth, are not
really concerned with the pursuit of justice, but rather in “getting names’ and making a name for
themselves.  In the midst of this would be the greatest example of hypocrisy in Abigail
Williams.  As she confesses to John Proctor early on in the play, Abigail has no interest in
finding witches.  She simply needed to invent an excuse for the girls’ behavior in the woods that
fateful night.  In constructing this story, she also recognizes that she can seize the man she
has coveted, John Proctor.  Abigail is the embodiment of hypocrisy in that she truly speaks one
set of truths designed to get what she wants, what she sees as another and more attainable realm
of truth.  Abigail’s hypocrisy really gains a new level when Miller constructs a scene where she
and John meet the night before the trial, and she tells John that she wants to pursue and punish
“those guilty of hypocrisy.”  Abigail is the strongest example of hypocrisy in the
drama.

In what ways is the setting of Civil Peace by Chinua Achebe similar to that of "The Lesson" by Toni Bamabara?

The setting of Civil Peace by Chinua
Achebe is similar to that of "The Lesson" by Toni
Bamabara.

Civil Peace is set in
eastern Nigeria, after the civil war there. Many people have lost their jobs and/or
homes. Lives have been lost. People are trying to rebuild as best they can. Jonathan
Iwegbu is one such man who brings his family back to their hometown, to find their house
is still standing. Jon feels inordinately blessed to be able to move forward, even in
light of thieves who rob him, while his cries for help go unanswered. Loss and poverty
surround them, but still Jon and his family work hard.

"The
Lesson" is set in the United States. However, in this story also, the children Miss
Moore is trying to instruct also come from homes where money and opportunity are scarce.
In this story also, family members work hard to get ahead and provide for their
families. Sylvia's family members (like the other children's families) do not have a
great deal, but they do the best they can with their limited resources. Poverty is
something these families must deal with as well.

In both
stories, the hope of a better life is present. Each story is set within an impoverished
society. In both stories, hope is present in the two communities described, though they
are on opposite sides of the world.

Why is James Baldwin an important literary figure?

James Baldwin is an important literary figure both for his
writing and for his civil rights work, the two of which were closely
related.

Baldwin wrote about two "taboo" subjects at the time: being
black and being homosexual.  During a good portion of the 20th century these were not subjects
discussed in the open and Baldwin did so with a simple honesty that was his
trademark.

He left the United States as a young
man disillusioned with the double dose of prejudice he endured because of his race and sexual
orientation.  Though he would return to America during the sixties and throw himself headlong
into the civil rights movement, he spent much of his life as an exile in
France.

"American history is longer, larger, more various,
more beautiful, and more terrible than anything anyone has ever said about it," he
said, and that about sums up his relationship with the world around him.  As a writer, that is
the world he helped to expose, explore, destroy, and celebrate.

How to explore the poetic art of Nissim Ezekiel?

When researching a poet and their art, it is very
important to examine their history. It is very important to understand their childhood,
religious background, upbringing, education, socio-economic level, and personal and
artistic influences.

As for Ezekiel, it is important to
know that Ezekiel was born in 1924 in Bombay. He was born to Jewish parents who were
both highly dedicated to education.

Educated in a
missionary, Ezekiel shared hie parent's love for education and was renowned at Bombay
University for his literary excellence.

Ezekiel is one of
the foremost known writers in Indo-Anglian poetry. According to the "Journal of South
Asian Literature", Ezekiel believed that poetry was a way of organizing ones
self.

Given his education and interest in psychology,
Ezekiel was fascinated by dreams. He believed that dreams "represent the imaginative
structures of human reality". It was through his examination of dreams in which he found
"the why", "the how", "the what", and "the flow". Ezekiel was known for including these
aspects within his poetry.

Ezekiel's poetry, as explained
by one author in the above named journal, should "be viewed as a metaphoric journey into
the heart of existence". Ezekiel's poetry allows a reader to join him on a journey into
ones self and their meaning for living.