What are some unusual characters in The Princess Bride?

Westley might be considered an unusual character.  While
his mythology and background could be seen as a typical hero, Westley really is not the
normal hero.  He endures insults from Buttercup and starts off in the lowest rung of the
social order.  While he experiences the "derring- do" of swashbuckling ends, he does so
rather inadvertently.  It's out of being kidnapped that he ends up living the life of
the Dread Pirate.  Westley is not conscious of being a hero or a heroic figure.  This is
what makes him unusual.  We look to him as a figure or leading protagonist, but he is
not really one who sees himself in such a manner.  Part of why he is like this is that
Westley never fully embraces his love for Buttercup.  This makes him unusual in the
narrative.  Traditionally, the reader is accustomed to a character who is able to
embrace their "destiny" to love the damsel.  Westley is unusual because of his
divergence from this configuration.

Discuss why the equation f(x)=t has no real solutions if t

We'll determine first the critical
points.

f'(x) = 16x - 1/x

To determine
the critical points, we'll put f'(x)=0

16x - 1/x =
0

16x^2 - 1 = 0

Since it is a
difference of 2 squares, we'll substitute it by the equivalent
product.

(4x-1)(4x+1)=0

Now, we'll set
each factor as zero:

4x-1 = 0

x =
1/4

4x+1 = 0

x =
-1/4

Since the function f(x) contains the term ln x, we'll impose
the constraint that the domain of the function is (0 ,
+infinite).

Since the value x = -1/4 is not included in the domain
(0,+infinite), we'll reject it.

The only critical point is x =
1/4.

We'll calculate the 2nd derivative to see if the extreme is a
minimum or maximum point.

f"(x) = 16+
1/x^2

It is obvious that f"(x)>0, so f(1/4) = 1/2 + ln 4 is a
minimum point.

Now, we'll discuss the requested case: f(x)=t has no
real solutions if t<x0 = 1/4

Since f(1/4)
represents the minimum point of the function, then, it is no possible to have values of the given
function smaller than the minimum point, so the equation f(x)=t has no real
solutions.

A bicycle pump contains 50 cm^3 of air at a pressure of 1x10^5 Pa. What would be the volume of the air if the pressure was increased to 2.1x10^5...

The bicycle pump contains 50 cm^3 of air at a pressure of 1x10^5
Pa. We need to find the volume if the pressure is increased to 2.1x10^5
Pa.

We use the ideal gas law here. PV = nRT, where P is pressure, V
is volume, n is number of moles, R is the gas constant, and T is
temperature.

Now in both the cases, the temperature is constant,
number of moles is constant, and the gas constant is the
same.

Therefore PV = nRT => R =
PV/nT

50*1x10^5/ nT =  2.1x10^5 * V
/nT

=> 50*1x10^5 =  2.1x10^5 *
V

=> V = 50*1x10^5 /
2.1x10^5

=> V = 50 * 1 / 2.1 = 23.80
cm^3.

The volume of air with the altered conditions is
23.80 m^3.

What kind of narrator can be found in Sula? Find examples in the novel.

Sula is told through an all knowing
(omniscient), 3rd person narrator.  However, each chapter is
limited to a focus on one character, with insight into that
character's thoughts and perspective.  Each character is given an almost equal amount of
attention throughout the book so the reader is able to get equal insight into each
character.  In this way, there is a lack of narrator
bias.

For example, chapter 1 focuses on Shadrack, chapter 2
moves to Nel, chapter 3 focuses on Eva, etc.  As you read, notice the thoughts, dialogue
and reactions of the focal character of each chapter.  In this style, the novel comes to
take on a mulit-faceted personality.  Sula is less a novel about a
character and her story, and more chronicle of friendship, community, and a time period
in America's history.

When the Methodists tried to pay off their mortgage, why did they challenge Baptists to a football game?

This fund-raising football game is seen in Chapter 10. 
All we can really say for sure is that the Methodists challenged the Baptists as a way
to try to raise money to pay off their mortgage.  There is nothing in the text to tell
us exactly how the game was supposed to help pay off the
mortgage.

Generally, though, there are a couple of ways
that institutions use games like this to raise funds.  First, they can charge admission
to the games.  We know that the Finch family went to watch and probably a lot of other
families did too.  If they all paid admission, the Methodists could get money that way. 
Second, they might be able to get businesses to sponsor the game.  The businesses could
have advertisements up at the game or in a program or something like
that.

These are ways I've seen games used for fund-raising
and I assume they were doing one or both of these in this case.

How is the medieval morality play Everyman a typical work of the middle ages?

The late medieval morality play Everyman is
a typical work of the middle ages for a number of reasons.

In the
first place, the play is explicitly Christian in its meanings and purposes. Since the middle ages
were an era in which Christianity was the dominant (indeed, almost the exclusive) force in
western European religious thought, it is not surprising that this play quite openly addresses
Christian themes and conveys a Christian message. Most plays written during this time were
written to teach Christian history (as in dramatized stories of the Bible) and Christian
morality. For these reasons, Everyman is an utterly typical play of its
period.

However, it is worth stressing that the
kind of Christianity emphasized in Everyman is Roman
Catholicism, which was the specific dominant brand of Christianity in western Europe at this
time. The Protestant "Reformation" had not yet occurred, and Protestants would have been bothered
by this play's emphasis on good works, the power of the priesthood, and the need to confess one's
sins to a priest.

At the same time, Everyman,
like many other works of medieval literature, shows a genuine awareness of the various failings
and partial corruption of the Catholic church during this period. One of the most interesting
episodes in the play is the passage in which the character Five-Wits extols the power of priests
and the priesthood, only to be followed immediately by Knowledge, who explains that many
contemporary priests are hypocrites and sinners (729-69).

In
addition, Everyman is also typical of medieval literatture because it
announces quite openly, in its very first lines, that it will be a didactic work -- that is, a
work intended to teach. Much medieval literature is similar in being very explicit in its intent
to impart moral lessons.

Furthermore, Everyman
deals with one of the fundamental themes of medieval literature -- the theme of mutability, or
the idea that all things on earth, including humans, are subject to change and decay. Only God
and heaven could provide a source of eternal escape from such pervasive, usually negative change.
Everyman teaches this lesson quite
explicitly.

Moreover, Everyman is also a
typical work of medieval literature because of its heavy emphasis on the inevitability of death
(the most important kind of earthly mutability). A character named Death actually appears in the
play, and death is a major theme of the work. The power of death is a very common focus of texts
of the middle ages, and if is definitely a major focus of
Everyman.

Everyman also
resembles some of the other great works of the middle ages (especially The Canterbury
Tales, by Geoffrey Chaucer) in combining humor with a serious moral message. This
tendency is typical of medieval thought, which often saw human life as ridiculous and laughable
when viewed from a cosmic Christian perspective.

Therefore, in all
these ways and many others, Everyman is a highly characteristic work of its
era.

Calculate the sum of sin(45-x)+sin(45+x). the result is 0?

We'll apply the sine function to the sum and the
difference of angles 45 and x:

sin (a-b) = sin a*cos b -
sin b*cos a

sin (a+b) = sin a*cos b + sin b*cos
a

We'll put a = 45 and b =
x.

sin (45+x) = sin 45*cos x + sin x*cos
45

sin (45+x) = sqrt2*cos x/2 + sqrt2*sin x/2
(1)

sin (45-x) = sin 45*cos x - sin x*cos
45

sin (45-x) = sqrt2*cos x/2 - sqrt2*sin x/2
(2)

Now, we'll substitute (1) and (2) in the sum to be
calculated:

 sin(45+x) + sin(45-x) = sqrt2*cos x/2 +
sqrt2*sin x/2 + sqrt2*cos x/2 - sqrt2*sin x/2

We'll combine
and eliminate like terms:

 sin(45+x) + sin(45-x) =
2*sqrt2*cos x/2

We'll simplify and we'll
get:

 sin(45+x) + sin(45-x) =
sqrt2*cosx

We can notice that the result of
the sum is not zero, but sqrt2*cosx.

Find prepositional phrases and write if Adjective or Adverb the sentences are:Sharks are found in every ocean. Many people belive that all kinds...

No one at e-notes is going to do your homework assignment
for you; however, I will gladly review the parts of speech to which you refer in your
question.  Perpositional phrases are words used to show a relationship between two
things.  Think of a squirrel and a tree.  He can be on the tree,
in the tree, under the tree,
beside the tree, beyond the tree,
from the tree, and...well, you get the point.  And the tree can be
near the squirrel, away from the squirrel,
abovethe squirrel...and the list goes on again. Those are all
prepositions in prepositional phrases.  Where a prepositional phrase is used in a
sentence will determine if it is, in this case, an adjective phrase or an adverb
phrase.  If the preposition modifies a verb, an adjective, or another adverb, it's an
adverb phrase.  If it modifies a noun or another pronoun, it's an adjective phrase. for
example:

After collecting leaves for his nest, the squirrel
ran up the tree. 

The prepositional phrase is up
the tree and it answers where the squirrel ran. 
Ran is a verb, so the prep phrase is an
adverb.

Good luck!

Comment on the literary devices in "Fire and Ice" by Robert Frost.

This excellent poem is built around two implied metaphors, in
which ice is compared to hate, and fire to desire. The poem explores two different contradictory
beliefs concerning how the world will end. The poem, perhaps ironically, argues that either fire
(representing desire) or ice (representing hate) will "suffice" to kill us all off. This poem
therefore explores the danger and threat of such emotions as desire and hate, and the way in
which such emotions, uncurbed, could destroy us.

The link between
fire and desire is clear, with the rhyme helping to establish the connection, but Frost compares
ice to hate, which perhaps needs to be unpacked. Hate, like ice, is hard but can be melted under
the right conditions. Hate might lead to violence, which could usher in the end of the world,
just as desire or greed could cause isolation or division, leading to the same
conclusion.

Thus this overtly very simple poem is built around two
implied metaphors, which compare fire to desire and ice to hate.

For The Scarlet Letter, I am completing an alphabet project. What could be used for the letter, "Q?"

In these types of project, "Q" always poses a challenge. "Quiet"
would be one way to describe the relationship between Hester and Dimmesdale. This could be one
approach. Another would be to use the word, "Quickly" to articulate the rapidity with which the
"sin" was conceived or to describe how public reaction swung against Hester. For her part, Hester
never "quits" in remaining in the community and being a symbol for how individuals have to take
accountability for their action. "Quizzical" could be one way or approach that the modern reader
could view some of the practices of Puritan Society, especially the faith offered in conformity
and acting as part of the social order. Hawthorne's view of Puritan society is one where he sees
its individuals "quadriplegic" from a moral point of view in the hypocrisy and lack of courage he
displays within it. Hester seems to be the only one who is of a high level of moral
"quality."

What are some important literary devices in Act 2 Scene 2 of Macbeth?

Some important literary devices at work in Act 2 Scene 2
of Macbeth are as
follows:

Symbolism:  Near the
beginning of the scene, Lady Macbeth claims that she heard an owl shrieking, and she
calls it the "fatal bellman."  The owl is a symbol for the death of
Duncan. 

Allusion:   Later in
the scene, Macbeth refers to "great Neptune's ocean" which is a reference to the Roman
god of the sea.

Metaphor:   
Lady Macbeth is disappointed in her husband's cowardice and says, "I shame to wear a
heart so white."  The color white is a metaphor for fear and
innocence.

Extended metaphor: 
Macbeth talks of "murdering sleep" throughout the scene.  He uses sleep
as a metaphor for peace, meaning that since he has committed such an evil crime, he will
no longer have peace of mind.

Irony: 
Later the audience learns that the knocking on the door is from Lenox and
Macduff who are arriving at Inverness.  However, Macbeth is in a state of frenzy and
believes that someone has heard him commit the murder--the audience, however, is fully
aware that no one else knows of Macbeth's crime.

Is online dating a reliable alternative to traditional dating? What are some of the major pros and cons of this new dating practice?write in...

The internet is great for a lot of things and communication is
certainly one of them.  It can connect you to people you wouldn't normally meet in everyday life
and can even filter them down to someone who has the same interests as you.  When it comes to
dating, this can be a great thing.  It can assure that people have things in common and are
looking for the same things in life.

However, the internet also
allows people to have a great deal of control over how they're perceived.  It's relatively easy
to paint your online persona as who you would like to be rather than who you are.  People can be
very different in person than they are online.  For example, it's easy to say you have a great
sense of humor on a dating site and to write witty things in an e-mail when you have hours to
think of them; however this doesn't translate into being funny in real life
interactions.

Just as online representations can make someone seem
more appealing than they'd be in real life, the way they choose to present themselves online
might also lead to them being written off by someone who would be a great match.  Just think of
all the ways you'd react to someone's profile picture.  It's a very heavy first impression. 
Online dating brings with it the possibility of missing a great person, with whom you might feel
an instant "spark" in real life, for a silly reason like a bad profile
picture.

This doesn't necessarily mean that online dating is better
or worse than traditional dating, but it is certainly different.  Also, it seems to work best
when it is not used as an alternative to dating in person, but as a supplement.  Online dating
sites are meant to connect people so they can meet and start a real relationship in person.  When
two people merely e-mail instead of meeting in person, they develop a relationship with an online
persona instead of an actual person.

What are the internal and external conflicts of Reverend Hale in The Crucible?

Reverend Hale’s external conflicts change throughout the play.
Initially, he is in conflict with the “accused” and the families of the accused, such as when he
has a discussion about the validity of the justice system with Proctor, Corey, and Nurse when
their wives are arrested in Act Two. In Act Three, the external conflict shifts between Hale and
authority figures in the court, mainly Danforth, even though Cheever and Herrick are also on the
opposing side. The conflict in Act Four shifts back to a conflict with the “accused(Hale argues
that they should confess, but they refuse),” but this time, the conflict is different in that he
is trying to help them, instead of condemn them, as he was earlier when he attested to the
validity of the statements made against those accused.

Hale’s internal conflict is seen and implied. We are
told; upon his arrival, that he supposedly found a witch in his hometown, Beverly, and then later
discovered that the girl was not at all a witch. The implication in that foreshadowed bit of
information is that even at the commencement of his arrival, Hale was already struggling with
himself in a fight to be sure that he made no misjudgments. His internal struggle to be exact in
his investigation, in some ways, possibly blinds him to the reality that he is in fact being
fooled. He struggles with himself in Act Two because he learns information that makes him second
guess his previous judgments. In Act Three, Hale vocalized his internal conflict when he exclaims
that he has signed away the soul of Rebecca Nurse when he tries to reiterate the importance of
the testaments of Proctor and Mary Warren, Corey, and Nurse. Hale’s internal struggle continues
into Act Four, where he returns to Salem to beg the condemned to lie about their guilt in order
to save their lives. He tries to convince them that they deserve to live, even if they have to
lie to gain their lives, but the implication is that Hale cannot bear to live with the knowledge
that he could have, at the beginning, prevented this, had he not been so blinded. His internal
struggle is evident even at the end of Act Four as he begs Elizabeth Proctor to go to her husband
and beg him to save himself. Sadly enough, it seems as though Hale is left to bear the burden of
those wrongfully convicted, condemned, and hanged; the last internal conflict we are left with
implies that Hale with most likely struggle with himself for the rest of his life about the loss
of those innocent lives. Hale’s intentions were pure, but his vision was unfortunately very
clouded.

What does Jonas learn about the community's rule for lying in The Giver?

We first learn about how Jonas feels about lying in chapter 9 on
page 68, when Jonas reads his rules.  It is the last rule, the shortest, and the only one that is
not a procedural instruction.  This indicates that it will be
significant.

Jonas is shocked to read the last rule.  After he
“steeled himself” to read the rule, he reflects that “he had been trained since earliest
childhood, since his earliest learning of language, never to lie” (70).  Significantly, lying is
associated with imprecise speech rather than morality.  In fact, “the reason for precision of
language was to ensure that unintentional lies were never uttered” (70-71).  Preventing lying is
deeply engrained in the community’s culture. 

The thought of lying
to anyone makes him very uncomfortable, and when he considers that others might also lie it is
“terrifying” (71).  Jonas considers asking other adults if they lie, but realizes that if he did,
“he would have no way of knowing if the answer he received was true” (71).  The fact that
everyone tells the truth is part of the certainty the community is trying to ensure.  Uncertainty
makes people uncomfortable, and preventing discomfort is
paramount.

Since openness about feelings is so essential to the
community's emotional control (thus the nightly ritual involving feelings), this rule signifies
Jonas's separation from community life.  One of the reasons that Jonas reacts so strongly to the
rule is that he realizes that it makes him very different from everyone else.  He has never had
anything to hide before, so he has had no reason to lie.  That rule, coupled with other ominous
warnings about pain, foreshadow difficulties in Jonas's future and the continual separation of
Jonas from his family and friends.

What is the distance travelled by a ball that starts at 2 m/s and moves with an acceleration 4 m/s^2 to reach 18 m/s.

Acceleration is the rate of change of speed. For a body
travelling at a speed u, the speed after time t is given by u + at where a is the rate
of acceleration. Now the distance travelled by  the body is the average of the initial
speed  and the final speed multiplied by the time
travelled.

Here final speed is 18. Now as acceleration is
4,

18 = 2 + 4t

= > t =
4.

Therefore the time taken is 4
sec.

So the distance travelled is given as 4*(2+ 18)/2 = 4*
10 = 40 meters.

The required distance
travelled is 40 m.

Name some of the figures of speech in "The Happy Prince" by Oscar Wilde.I am writing a term paper on Figures Of Speech in the Fairy Tales of Oscar...

Please, don't be depressed about a silly little term paper. 
You'll write a great paper about the Happy Prince, and some day you'll meet one,
too!

SIMILE (comparisons using "like" or
"as"):

a) "He is as beautiful as a
weathercock";

b) "He looks just like an
angel";

ALLITERATION (repetition of initial consonant
sounds):

a) "Charity Children"

b)
"Mathematical Master"

c) "lady-love"

d)
"Palace of San-Souci"

PERSONIFICATION (human abilities
and traits are assigned to non-human beings):

a) "'Shall I love
you?' said the Swallow";

b) "The eyes of the Happy Prince were
filled with tears, and tears were running down his golden
cheeks";

METAPHOR (comparisons that do not use "like" or
"as"):

a) So he flew round and round her, touching the water with
his wings, and making silver ripples (the ripples in the water are not
actually silver; they only look like
silver);

ANAPHORA (repetition of a
phrase):

a) "Swallow, Swallow, little Swallow," (this is repeated 6
times, near the end of the story).

What are three quotes given by Lennie that show he is kind in Of Mice and Men?

Diminuitive in his cognitive abilities, Lennie Small of
John Steinbeck's novella, Of Mice and Men, is childlike in his
behavior and thinking. While his reactions to the words and the physical gestures and
movements of others are never mean-spirited because he is of this childlike mentality,
he is not necessarily kind.  For, kindness implies a deep-seated
characteristic shown habitually or on occasion by considerate behavior, a behavior that
does not seem within the ken of such a simple person as
Lennie.

Lennie's behavior is that of a child.  He is loyal
to George because George is like an older brother to him.  But, Lennie is not always
considerate of George, nor does not always seek to give George pleasure, two aspects
intrinsic to kindness.  Instead, Lennie's good behavior exhibits itself whenever Lennie
wants George to approve of him or to not be angry with him.  For instance, in Chapter
One after George grows angry from the memory of the episode of Lennie with the girl in
Weed, Lennie, who has been wishing for ketchup to put on their beans, says softly to
George,

I was
only foolin', George.  I don't want no ketchup.  I wouldn't eat no ketchup if it was
right here beside me."

Here
Lennie is simply trying to ingratiate himself after George Milton has become angry.  On
the other hand, George says kindly, "If it was here, you could have some."  In response,
Lennie insists,

readability="7">

"But I wouldn't eat none, George....You could
cover your beans with it and I wouldn't touch none of
it."

Lennie's words are a
show of subservience to George, rather than an offer of kindness.  For, later in their
conversation when George realizes that he has been mean, Lennie
says,

"If you
don' want me I can go off in the hills an' find a cave.  I can go away any
time."

Then, in Chapter
Three, when Curley attacks Lennie, it is not kindness that Lennie displays.  As he holds
Curley's hand, crushing it, Lennie "watched in terror the flopping little man whom he
held.  When George yells at Lennie to let go of the hand, Lennie defensively says, "You
tol' me to, George."  Lennie does not worry about Curley's
injury.

And, in Chapter Five when the puppy that Lennie has
petted so much dies in the barn, Lennie feels no sympathey for it.  Instead,
childishly, he is angry with the dog: "Now I won't get to tend the rabbits.  Now he
won't let me." 

Lennie is a man-child.  He knows that
George looks out for him and protects him, so he tries not to raise George's ire.  When
he inadvertently kills Curley's wife, Lennie worries about what will happen to him, not
about the woman.

Is biodiversity of the tropical islands decreasing?

Biodiversity is the variety of life including animals,
plants, fungi, protists, bacteria found in the ecosystem. Tropical islands such as those
in the Caribbean, are experiencing decreased biodiversity. There are many factors that
can affect the numbers and varieties of organisms in an area. The greater the species
richness,  the healthier the planet will remain. There are estimates that approximately
30% of current species will become extinct by 2050. Islands are most vulnerable to
factors affecting biodiversity because these are smaller areas, they are separate from
the mainland and pressures can have a greater affect in these isolated locations. The
introduction of exotic species can wreak havoc on an island. A non-native species can
outcompete the indigenous species for food and space and can cause its extinction. It
might not have any predators to keep its numbers in check. Habitat destruction can
affect biodiversity by deforestation to clear land for farming. Habitat destruction
means less areas for species to nest, thrive, hunt and ultimately, might mean their
demise. In tropical rainforests, increased rates of extinction are being driven by human
consumption of goods taken from the rainforest, including lumber, foods and other
organic products. Cutting down rainforests, to provide farmlands and orchards is leading
to loss of species like songbirds, rare plants and other animals. Biodiversity is
necessary for the health of the planet so that water can be purified, air can be
replenished, excess carbon dioxide can be fixed by plants into glucose, rather than
remaining in the air adding to global warming.

Prove that sin (2a+b) = sin a if cos (a + b) = 1.

We'll expand cosine of the
sum:

cos (a+b) = cos a*cos b - sin a*sin
b

From enunciation, we know
that:

cos a*cos b - sin a*sin b =
1

cos a*cos b = 1 + sin a*sin b
(1)

Now, we'll expand the function sin
(2a+b):

sin (2a+b) = sin 2a*cos b + sin b*cos
2a

We'll re-write the factor sin
2a:

sin 2a = sin(a+a) = 2sin a*cos
a

We'll re-write the factor cos
2a:

cos 2a  = cos (a+a) = 1 - 2(sin
a)^2

We'll re-write the
sum:

sin (2a+b) = 2sin a*cos a*cos b + sin b*[1 - 2(sin
a)^2]

We'll substitute the product cos a*cos b by
(1):

sin (2a+b) = 2sin a*(1 + sin a*sin b) + sin b*[1 -
2(sin a)^2]

We'll remove the
brackets:

sin (2a+b) = 2sin a + 2(sin a)^2*sin b + sin b
-  2(sin a)^2*sin b

sin (2a+b) = 2sin a + sin
b

Why authors of the Texas Constit. provided bankrupts such protection from creditors when most of the authors were wealthy creditors themselves?

In general, people who are concerned about business and
the economy think that it is important to protect people from creditors (to some extent)
when they go bankrupt.  It is believed that providing such protections makes people more
willing to take the risks that are needed in order for economic growth to
occur.

If you think about it, people take major risks when
they open a new business.  They are putting their fortunes at risk.  But think how
important new businesses can be for our economy.  What if Bill Gates hadn't taken the
risk to create Microsoft, for example.  So people think it is important to encourage
people to take risks and start new firms.

Providing
bankruptcy protection is one major way to encourage risk.  If you can start a new firm
without having to worry about losing everything you own, you are way more likely to try
it.

So, just because someone is wealthy doesn't mean they
would not care about bankruptcy protection.  They would want to encourage it so as to
make it easier for entrepreneurs to start businesses.

Find the critical numbers of the function. g(y) = (y - 5)/(y^2 - 3y +15)

Critical Numbers

1. Function
cuts the horizontal axis when function goes to zero

When
g(y)=0 ,  y=5

2.
Function cuts the vertical axis when
y=0

g(0)

= [ 0 - 5] / [ 0^2 -
3y + 15 ]

=  -5 /
15

g(0) = 
-1/3

3. When y approaches
negative infinity

When y approaches negative
infinity,

the numerator is dictated by |y|, with
|y|>>|5|, hence the overall expression will become
negative.

The denominator appoaches y^2 since |y^2|
>> |-3y+15|

The entire expression approaches
-1/y, which is a negative number very close to zero but never
zero!

4. When y approaches
positive infinity

Likewise, when y approaches positive
infinity, the entire expression approaches 1/y, which is a positive number
very close to zero but never
zero.

5. The maximum and minimum
points, occuring at the turning points, where the instantaneous gradient of the curve,
g'(y) = 0

Let     U= x-5  
;

and    V= x^2 - 3x +
15

g'(y)

= ( V.dU/dy - U.dV/dy
) / V^2

= :

=
:

= ( 10x - x^2 ) / (x^2 -3x +
15)^2

Turning points occur when the gradient
g'(y)=0.

Equating g'(y)=0, we
have:

10x - x^2 = 0

or 
x.(10-x) = 0

==> turning points occur
at

(i) x=0   (see Point no. 2 , where
g(0)=-1/3)

(ii)
x=10

The next question is which is maximum and
which is minimum.

To determine that, we now look at the 2nd
derivative, g''(y).

Let U = 10x - x^2
;

and V = (x^2 - 3x +
15)^2

g''(y)

= ( V.dU/dy -
U.dV/dy ) / V^2

= :

=
:

= [(x^2-3x+15)^2 . (10-2x) -
2(10x-x^2).(x^2-3x+15).(2x-3)] / (x^2-3x+15)^4

g''(0) =
0.0044 (correct to 4 dec place)  > 0   =>
minimum

g''(10) = -0.0014 (correct to 4 dec place) <
0  => maximum

g(0) = -1/3    (see my Point#2
above)

g(10) = ... = 5/85 =
1/17

Hence the minimum occurs at (0,
-1/3) ;

and the maximum occurs
at (10, 1/17)

Using specific examples, defend the position that Odysseus is an unreliable narrator in Book 9 of Homer's The Odyssey.

In Homer's The Odyssey, Book Nine, it is
possible to see Odysseus as an unreliable narrator for two reasons. (This is for the sake of
argument.)

When Odysseus and his men land on the Island of the
Cyclopses, they meet Polyphemus, a Cyclops who cares for sheep. Polyphemus, in a very
inhospitable way (something Homer and his peers would have found reprehensible), imprisons his
guests, and then starts eating them. It is only after blinding Polyphemus that Odysseus and the
remainder of his men are able to escape. (He also tricks the beastly creature into making a fool
of himself when he goes to his neighbors for help.) However, looking carefully over the story,
the reader may note that Odysseus and his men go into the cave and take from the giant before he
attacks them. Perhaps had they been invited, Polyphemus might have reacted
differently.

Because of how the Cyclops reacts to Odysseus, the hero
becomes extremely angry and wants revenge. We get only Odysseus' side of the story, and a sense
that the creature captures and kills members of the crew for no other reason than his naturally
violent demeanor.

The part of the story that might make Odysseus
seem an especially unreliable narrator is when he becomes full of himself and acts in a
disgraceful way (considering he is a hero). Odysseus makes fun of Polyphemus when he attacks
Odysseus and his ship—he taunts the giant. This is unbecoming behavior, and it gives the audience
a sense that he is emotionally compromised and may not be as objective as one would hope him to
be, thereby not delivering a completely reliable account of what transpired on the
island.

What theories of sexuality have been ruled out?

The study of human sexuality has been greatly influenced by
trends in sociology, psychology and biology. Newer hybrid disciplines (such as sociobiology and
evolutionary psychology) sharply highlight questions of human sexuality. In the early years of
psychological inquiry, scholars and lay people depended heavily on the idea of sexual perversion.
Any sexual behavior that did not fit into a narrow scope of socially acceptable activity was
deemed a sickness. In many cases, the idea of perversion is no longer credible. One obsolete
theory is that of female hysteria. Female hysteria was a 19th century medical diagnoses. Doctors
treating female patients for what we now identify as depression and anxiety thought that their
symptoms were due to sexual deprivation or perversion. They used sexual stimulation to “cure”
their patients. We now know that women suffering from these conditions are better served through
the same kinds of clinical treatments as benefit men. Scientists and researchers have also left
behind the perversion model when explaining homosexuality, transgendered identity and a host of
other sexual acts and expressions.

Describe the various means used to deprive African-Americans of their right to vote during the late 1800s.

There were four main ways African-Americans were denied
their 15th amendment right to vote in the late 1800s, all used to a different extent
depending on which part of the South you were talking about at any given
time.

The first was the Grandfather Clause, which simply
stated that if your grandfather had not had the right to vote, then neither did you. 
This essentially meant that almost no African-American could vote.  While obviously
unconstitutional, it was not challenged in court and overturned for some
time.

The second method involved a literacy test.  This was
the most widely used system of disenfranchising blacks.  The test would be given by a
white voting official, and they alone would get to determine if the person was literate
enough to vote.  Of course, whites and blacks were not tested
equally.

Third, a poll tax, or a charge to vote, was used
in many places.  Often times a few days wages for a free black, they would have to
choose between paying money they really didn't have to spend or not voting.  Even if
they did pay the tax, they would only have white candidates to choose from, so it
usually kept them from voting.  The poll tax finally had to be abolished through
Constitutional amendment (the 24th).

Lastly was plain old
intimidation.  The Ku Klux Klan, while mostly underground and disbanded in the late
1800s (it would rise again in the 20th century) was the social police force, and white
society often let it be known that any black man who tried to vote would "get a reminder
not to" later. 

For many blacks during this difficult time,
voting was not worth the expense or risk to their personal safety.  They would not vote
in large numbers until the 1960s.

Name two external feautures that are adaptation's for the squid's predatory life? What are two traits squids share with other mollusks.

All Molluscs have a mantle which secretes the shell. They
possess soft bodies and open circulatory systems. This means that blood bathes the cells
directly with nutrients. Most have a foot for locomotion which is muscular. Examples of
Molluscs include, clams, squids, octopus, cuttlefish, snails. Squids are Cephalopods,
which translated means, "head, foot. They can use jet propulsion to escape enemies and
for locomotion. Their arms and tentacles are derived from the foot. Their large eyes are
adaptations to make them excellent at seeing and locating their prey. Squid can use
camoflauge to blend into their surroundings which is another adaptation for both hiding
from predators and when they are hunting for prey.

How is Santiago’s story in The Old Man and the Sea ultimately to be read as a story of human victory?

Hemingway's The Old Man and the Sea
is clearly a story of "human victory."  It's true that Santiago was not able
to bring home anything he could sell; however, he caught a magnificent fish despite all
the elements which came against him.

Santiago was an old
man who hadnothing in his life but the love and devotion of Manolin.  As his teacher,
Santiago had instilled in the young boy a love and passion for fishing--something not
every man who fishes had, as evidenced by Manolin's new captain. While he had caught
fish in the past, Santiago was having an unlucky spell.  Because of his eighty-four days
of  catching nothing, Santiago lost the help of "the boy" and was now going out alone. 
His fishing this day was one man against not only one fish but all the accompanying
elements--the sharks, the currents, the weather, and even his own body.  He was actually
quite outmatched in every way, as the fish was in his natural setting and outweighed
Santiago by, well, a lot. 

So this was a test of wills and
wit, and the winner was Santiago.  Once the fish was caught and lashed to the boat
(costing the old man nearly everything he had left in him), the sharks presented a new
battle--a battle he did not win, of course.  However, catching the fish, snapped the
streak of bad luck and demonstrated that Santiago is still capable and productive.  This
was a life-and-death struggle, and Santiago persevered and survived--and he will fish
again. This was a story of human triumph in nearly every way.

What was said by the Anti Federalists when they were arguing on what the new government of the United States should look like?

It should also be pointed out that the anti-Federalists,
some of whom included Patrick Henry and Samuel Adams, refused to ratify the 1787
Constitution unless it has a Bill of Rights attached to it. This Bill of Rights would
limit the power of any future federal government that would unite the 13 states in a
stronger, "more perfect Union."

The anti-Federalists were
keenly aware of the abuses of government. Thomas Jefferson, who would eventually become
the leader of the successor party to the anti-Federalists, to be known as the
Democratic-Republicans, wrote about the abuses of supreme executive power in his
Declaration of Independence. He borrowed many words and phrases from previous documents,
such as the English Bill of Rights (1689) and the Virginia Declaration of Right
(1776).

The Bill of Rights that we have today consists of
the first ten amendments to the Constitution. The current ten originally started out as
12, but after some editing by James Madison, the First Congress narrowed the list down
to 10, with ratification coming from the states in 1791, keeping their promise to list
those rights retained by the people, and they also included the 9th and 10th Amendments,
which reserved unenumerated powers to the people and the states respectively. This
document would be used to justify the state's power to nullify federal law, though
unsuccessfully. Either way, the Bill of Rights is a legacy left to "posterity" of the
Framers by the anti-federalists.

What is the plot of the short story "Ricochet" by Angela Noel?

This is a story of one brother's desire for revenge
against his older brother. Owen Parry and his brother own a large farm, and when disease
strikes the animals on the farm, his brother calls the authorities who force the
brothers to kill off their livestock, including their dogs. Owen feels much of the
livestock could have been saved, especially his favorite dog, Beth. Owen also resents
his brother for marrying Rhiannon, whom he had loved since they were children. To make
things worse, Rhiannon became pregnant with Owen's child during a period of unhappiness
in her marriage to Owen's brother. Rhiannon refuses to leave her husband and acknowledge
that Margo is Owen's child, so Owen sets a trap to kill his brother. When Owen returns
home, he finds Beth and Margo on the floor, and Owen thinks he had killed them both. He
realizes his brother hadn't killed Beth after all and thinks he has killed his daughter
and the dog. Owen then kills himself. Margo wakes up when she hears the gun shot and
runs out of Owen's cottage screaming. Owen's brother finds her and decides it's too late
to go see Owen. With that, the story ends.

I suggest you
read the full text of the story at the link below.

In To Kill a Mockingbird, the kids see Boo as a strange and frightening figure in chapter 5. How do Maudie and Atticus view him?

In chapter 5, you will also note that Maudie says she still
believes Boo to be alive and well when she says,

readability="8">

“His name’s Arthur and he’s alive... I know he’s alive,
Jean Louise, because I haven’t seen him carried out
yet.”

This highlights the fact that
Maudie might not believe all the rumors about Boo Radley because she chooses to respect his given
name of Arthur. This identifies him as a person with feelings, not a "malevolent phantom" or
peeping tom.

Later Miss Maudie gives Jean Louise some of Arthur's
past:

I remember Arthur
Radley when he was a boy. He always spoke nicely to me, no matter what folks said he did. Spoke
as nicely as he knew how.”

This shows
Maudie also agrees that Arthur Radley had strong values.

Later in
the chapter, Atticus gives the kids a piece of his mind that included giving Arthur the respect
he deserved for keeping to himself in these words:

readability="17">

What Mr. Radley did was his own business. If he wanted to
come out, he would. If he wanted to stay inside his own house he had the right to stay inside
free from the attentions of inquisitive children, which was a mild term for the likes of us. How
would we like it if Atticus barged in on us without knocking, when we were in our rooms at night?
We were, in effect, doing the same thing to Mr. Radley. What Mr. Radley did might seem peculiar
to us, but it did not seem peculiar to him. Furthermore, had it never occurred to us that the
civil way to communicate with another being was by the front door instead of a side window?
Lastly, we were to stay away from that house until we were invited there, we were not to play an
asinine game he had seen us playing or make fun of anybody on this street or in this
town-

let a, 6, b, 24 be a G.P find a and b

a,6,b,24 are in GP. To determine a and
b:

Since the terms are in GP, the successive terms should
have common ratio. So

 6/a = b/6 =
24/b.

From the last pair, b/6 = 24/b we get: b^2 = 24*6
=144.

So b = sqrt(144) = 12or
-12.

Therefore r = 24/12 = 2. or 24/-12 =
-2.

From the first pair, 36 = ab Or 36 = a*12. So a = 36/12
= 3.

Or  so a =3 or -3. and b = 12 or -12 Therefore the
series is

3 , 6, 12 , 24.
Or

-3 , 6 , -12 , 24 , if r = -2.

Whats the significance of this quote to the play Macbeth?O proper stuff!This is the very painting of your fear:This is the air-drawn dagger which,...

The murderers have just returned and told Macbeth that Banquo is
dead but Fleance has escaped. As he was after killing Duncan, Macbeth becomes stricken with
guilt. But this time his fear and guilt are increasing and playing on his mind. When Lady Macbeth
says, “This is the very painting of your fear,” she means that Banquo’s ghost is a hallucination.
Macbeth’s guilt is causing him to see things. The ghost/hallucination is being “painted” by
Macbeth’s fear. She is trying to get him to snap out of it.

She
tries to tell him that all he is looking at is a stool, but Macbeth sees Banquo sitting on that
stool. This entire quote is significant because it shows how Macbeth’s fear and guilt have
consumed him. Lady Macbeth seems to have her wits about her, but she falls victim to fear and
guilt later in the play.

The mean of 2 numbers is 12 find the numbers if the product is maximum.

let the numbers be x and
y.

Given that the mean of the numbers is
12.

Then we know that the mean = sum of the numbers/total
number.

==> (x+ y) /2 =
12

Multiply by 2.

==>
x+ y = 24

==> y= (24-
x).......(1).

Now we need to determine the numbers if the
product is a maximum.

Let f(x) be the
product.

==> f(x) =
x*y

==> f(x) =
x*(24-x)

==> f(x) = 24x -
x^2.

Now to find the maximum value, we need to find the
first derivative.

==> f'(x) =
24-2x

==> 2x =
24

==> x= 12

==>
y= 12.

Then, the numbers that has the maximum product are
12 and 12.

==> 12*12 = 144 is the maximum
product. 

What is the personality of each ghost in A Christmas Carol?

Each ghost has a different purpose, and a different
personality.  Marley, the first ghost, used to be Scrooge’s business partner.  They know each
other well, and are somewhat friends.  Marley cares about Scrooge, but he is also frustrated
because Marley is reformed and Scrooge has not changed his ways.  Marley takes the time to
arrange a unique opportunity for Scrooge to review his life and see the path that he is on, in
hopes of Scrooge’s reclamation.  Marley looks decayed, and his jaw even falls open.  He carries
heavy chains, and he is morose from the knowledge that he did not help others while he was alive,
and there is nothing he can do about it now.  He wants desperately to help those in need, and he
cannot.  The only way he can help them is to help Scrooge change his
ways.

The first of the Christmas ghosts is the Ghost of Christmas
Past.  He looks like a man and woman, young and old.  He also glows, in contrast to Marley’s
grimness.  He wears white, symbolizing the innocence of the past.  The Ghost of Christmas Past is
at times stern and at times sympathetic to Scrooge.  He asks Scrooge questions, and responds
graciously to Scrooge’s bitter remarks.  He watches Scrooge closely, and prods him along to the
realization that the events of his past have shaped him.  There is a sadness about this Ghost,
representing the fact that we cannot change the past.  Scrooge acknowledges this in frustration
when he puts out the light.

The Ghost of Christmas Present is jolly
and huge.  He wears a warm robe but has a bare chest.  He also has a crown of thorns and a
scabbard with an empty sword.  This outfit represents the possibility of the present.  The
present is happening now, and can be anything.  This ghost is both jolly and harsh at intervals. 
He also ages slowly as they go through the present.  The Ghost of Christmas present is generous,
and caring for the poor is one of his main priorities.  He is often severe with Scrooge, pushing
him much more than the Ghost of Christmas Past did.  More than anything he wants Scrooge to open
his eyes and look at the world around him.  He wants Scrooge to realize that you don’t need money
to be happy, and that there are people suffering everywhere that need help.  By showing Scrooge
the Cratchits, this ghost puts a face on the poor.  The Cratchits remind Scrooge of the family he
never had.

The Ghost of Christmas Yet to Come is dark and
mysterious.  He is faceless and never talks.  He represents the unknown, and the fear inherent in
it.  Although he never talks, Scrooge is terrified of him.  Scrooge also reluctantly accepts that
he needs to pay attention, and he is beginning to be redeemed.  Before Scrooge can be redeemed he
needs to face the consequences of his actions.  Scrooge refuses to accept his death at first, and
when he sees the different reactions he asks for some emotion related to a death.  The Ghost
shows him the family that is happy because they owed Scrooge money, and the Cratchits who are
saddened by the death of Tiny Tim.

Determine the time after which the velocity of a ball,projected with speed v0 at an angle a0 from a point, becomes perpendicular to the velocity of...

We'll choose the time t = 0 when the ball is projected.
After the time t, it's velocity vector becomes perpendicular to the velocity vector of
projection v0.

We'll write the law that describes the
velocity of the ball at time t:

v = v0 + g*t
(1)

If v is perpendicular to v0, then the dot product of
the vectors is:

v*v0 = 0

the
formula for dot product is:

v*v0 = |v|*|v0|*cos
(v,v0)

The angle between v and v0 is 90 degrees, so cos 90
= 0.

v*v0 = |v|*|v0|*0

v*v0 =
0

 We'll substitute v by the law
(1):

(v0 + g*t)*v0 =
0

We'llremove the
brackets:

v0^2 + g*t*v0 = 0
(2)

We'll substitute v0 = v0*cos(pi/2 + a0)
(3)

We'll substitute (3) in
(2):

v0^2 + g*t*v0*cos(pi/2 + a0) =
0

But cos(pi/2 + a0) = sin
a0

v0^2 + g*t*v0*sin a0 =
0

We'll factorize by v0:

v0(v0
+ g*t*sin a0) = 0

If v0 is different of zero, then the
other factor must be zero:

v0 + g*t*sin a0 =
0

We'll subtract v0:

g*t*sin
a0 = -v0

We'll divide by g*sin
a0:

t = - v0/g*sin
a0

The velocity of the ball
becomes perpendicular to the velocity of projection after the time t = - v0/g*sin
a0.

Can you please help me compare two characters from Pride and Prejudice and Great Expectations by Austen and Dickens?

The best comparison might be of Jane and
Estelle. Jane is the heroine's sister in Pride and Prejudice
but has a significant subplot of her own, though for a large part she in an inactive actant in
the narrative. Estelle is the heroine in Great Expectations, though for the
largest part of the narrative, she is more like an anti-heroine until the results of her fall and
epiphany are discovered in the closing chapter.

readability="9">

"There was a long hard time when I kept far from me the
remembrance of what I had thrown away when I was quite ignorant of its worth. But since my duty
has not been incompatible with the admission of that remembrance, I have given it a place in my
heart," [said Estelle to Pip.]

These
two characters are a good comparison because of the contrasts. While Jane is a recognized beauty,
more beautiful than Elizabeth (despite poor casting in films), her dominant traits are her
goodness of heart, gentleness and willingness to think the best of acquaintances until forced to
acknowledge their failings. Estelle is also a beauty but her dominant traits are opposite of
Jane's, being hardness of heart, haughtiness, pride, and scorn of other people, especial boys and
men.

"To Jane
herself," [Elizabeth] exclaimed, "there could be no possibility of objection; all loveliness and
goodness as she is!--her understanding excellent, her mind improved, and her manners
captivating."

While Jane is willing
to forgive Bingley for leaving without declaring his love and to learn to turn her heart to
thoughts of other than him, Estelle rejoices in carrying animosity and harboring unfounded
grudges until they turn to hatred as her thoughts fester against the men she manipulates and
despises.

This comparison demonstrates that Jane and Estelle are
antithetical opposites of each other, characterizations that develop their
respective roles of heroine of a subplot and villainess who torments
the hero.

As seen in Frankenstein, describe how Victor runs from his laboratory. Thank you for everything; you are the best. ;)

The answer to this question is found in chapter five of
the novel. Victor has just succeeded in reanimating life, but he realizes when he "saw
the dull yellow eye of the creature open" that his creation is anything but an
accomplishment. Victor flees from the creature. Rushing to his room, Victor attempts to
"seek a few moments of forgetfulness," but, instead, he dreams of Elizabeth's death.
Once Victor awakens, he "beheld the wretch--the miserable monster whom [he]had created."
As the creature reaches out to Victor, Victor runs out of the room, down the stairs and
into the courtyard where he spends the rest of the night in turmoil. In the morning,
Victor meets his friend Clerval, momentarily forgetting his earlier horror. They return
to Victor's apartment. Victor pushes his door open to reveal an empty apartment--no
wretch. Victor welcomes Clerval into his home, and Victor's "flesh tingle[s] with excess
of sensitiveness, and my pulse beat rapidly." Victor's bizarre behavior alerts Clerval,
and Victor exclaims, "I thought I saw the dreaded spectre glide into the room; he can
tell. Oh, save me! Save me!" Overcome with grief and turmoil, Victor becomes ill and
collapses.

 For further information,  you can read the
reference link below

How is "The Chrysanthemums" an example of Naturalism?

As defined by
Buzzle.com...

readability="7">

"Naturalism in literature was a literary movement
that suggested the involvement of environment, heredity and social conditions in shaping
the human character."

In the
short story "The Chrysanthemums" by John Steinbeck, Elisa Allen is a woman who is strong
and energetic. She is closely tied to the earth as a wonderful gardener who is able to
work magic while creating beautiful flowers, and she is proud of her gift. (This shows a
positive link to her environment.)

Eliza is married to a
man who is successful and who provides for her and tries to do things he thinks will
make her happy, but they are not connected emotionally. Here she is stifled by her
environment.

While she works in the garden one day, a
peddler comes by in his wagon to sell his services in repairing pots, tools, etc. Eliza
is not interested until he begins to fuss over her chrysanthemums. He tells a story that
someone he knows would love some of her plants, and so Eliza, engaged by this wanderer
whose life she admires, offers young plants to take with him, and she has him do some
work for her. At first it seems as if she is making a positive connection to society in
this way.

Eliza takes pride in what she is able to create
out of the dirt, and feels empowered for the way the plants respond to her. As the day
wears on, she begins to develop a clearer sense of who she is—and her husband
compliments her gift with growing things. Like a flower tended with care, she begins to
blossom, and is further connected to her environment and the society of her husband's
company.

As they travel into town, Eliza notices that the
peddler has tossed the flowers onto the side of the road, though he keeps her pot, and
she is devastated.

In Steinbeck's "The Chrysanthemums,"
there are several things that are working to shape the person of Eliza. The elements of
naturalism that seem to apply to her character are her environment
and social conditions.

She lives on
her husband's farm and though they are seemingly suited for each other, they don't have
a meaningful personal tie: they go through the motions of marriage. In this way, Eliza
does not receive positive reinforcement as a valuable person in her own right, in the
environment of the home. She finds she has pride in her work with
growing things in the ground. They respond specifically to her attentions, and she is
fulfilled by her abilities to garden with such success, a positive attachment to
nature.

When the tinker comes, representing society, he
wants her to pay him for work, and so he manipulates her by
appealing to her love of her plants. She feels alive and gratified by his praise, and
can look at herself in the mirror that evening with a sense of personal accomplishment.
The tinker feeds her need to make a valuable attachment to society. However, this is
suddenly ripped away from her when she sees that the peddler has thrown the young
flowers away like garbage.

Eliza realizes that the
wandering life of freedom open to a man is something she longs for, but will never have
as a woman. In truth, her life is controlled by the society of men, and what
appreciation do they have for her value as a person? At the end, she tries to hide her
tears from her husband.

Naturalism is seen as Eliza tries
to find attachments with the environment and the society of which she is a part. Nature
seems to offer the only semblance of acceptance for her, and provides her with a sense
of success not with people, but with plants.

In Jane Austen's Sense and Sensibility, how do the Dashwood sisters deal with life after their father's death?

Jane Austen describes the Dashwood sisters as handling life
after their father's death by basically carrying on with their own lives. Elinor becomes
engrossed in getting to know Edward. She continues her drawing and engages with Edward in
conversations about his tastes in books and art (. Ch. 4). Elinor also copes with life by
deciding that they should move away from Norland, so that they are not embarrassed in front of
their friends by their new impoverished state; thus, she encourages her mother to accept the
Barton Cottage in Devonshire.

One way that Marianne is described as coping
with life after her father's death is by comforting their mother with affection (Ch. 4). Also,
both daughters and the mother deal with life by crying as they prepare to leave Norland, Marianne
proclaiming, "Dear, dear Norland!...when shall I cease to regret you!" (Ch. 5). Finally, they
deal with life after their father's death by being determined to adjust to life in their new
"poor and small" cottage and by being "resolved to appear happy" and be cheerful (Ch.
6).

Help with Grammar? I need the main verbs, helping verbs, and the tense of these three sentences. Before the sun came up that day, tens of...

The main verb is the action that is done by the subject. The
helping verbs are used along with the main verbs to clarify tense. In the sentences above the
correct answers are as follows:

subject -- sun -- main
verb -- came (past tense)

subject -- tens of
thousands -- helping verbs -- had, been -- main verb
-- killed (past perfect tense)

Main
verb -- is -- subject-- North Anatolian Fault (present
tense)

subject -- scientists -- helping verb -- have
-- main verb -- found (present perfect) (This verb
construction is repeated later in the same sentence.)

To explain
your errors: in the first sentence, the word "sleeping" is not a verb because the subject of the
sentence isn't doing the sleeping. It is a verbal that is being used as an adjective to describe
which people were killed. The word "before" is never a verb because you can't do it. You can't
say: I am going to before today. The word before is used as a subordinating conjunction to
introduce a dependent clause. That entire clause is telling when something
happened, so it is providing adverb information to the sentence as a
whole.

In the second sentence, the only verb is "is." "Similar" is
an adjective, not a verb. You can't similar. The verb "is" expresses a state of being, and this
sentence is talking about the state of being of a fault.

In the
third sentence you missed the helping verb "have." You labled the main verb
correctly.

Find the argument and the absolute value of the complex number z = 2 + i*3^1/2/2

The absolute value of a complex number is also called the
modulus of the complex number and it can be found from rectangular
form:

z = x + i*y (rectangular
form)

Modulus: |z| = sqrt(x^2 +
y^2)

We'll identify the real part and the imaginary part of
z:

x = Re(z) = 2

y = Im(z) =
(sqrt 3)/2

Now, we'll calculate the
modulus:

|z| = sqrt[2^2 +
(sqrt3)^2/4]

|z| = sqrt
(4+3/4)

|z| = sqrt
(19/4)

|z| = sqrt
(19)/2

The modulus of the
given complex number is |z| = sqrt
(19)/2.

The argument of the complex number
is the angle to x axis.

arg(z) =
a

tan a =
y/x

tan a = (sqrt
3)/4

a = arctan[(sqrt 3)/4] +
k*pi

arg(z) = arctan[(sqrt
3)/4] + k*pi

Is there a difference between libel against a public official and libel against a private citizen?the new york times company v. sullivan (1964)

In the case of New York Times v. Sullivan, the Supreme
Court was saying that there is a difference in what
constitutes libel if you are talking about a public official as opposed to if you are
talking about a private citizen.  It is much easier to be found guilty of libelling a
private citizen and much harder to be found guilty of libelling an
official.

In order to be found guilty of libelling an
official, a newspaper has to be guilty of "actual malice."  This means that they have to
know what they are printing is false or they have to have
"reckless disregard" for whether it is true or not.  It is very difficult to prove
actual malice because it is very difficult to know what the newspaper publishers
actually knew or intended when they published a piece.

In
contrast, there is a much lower standard of proof if you are a private citizen and you
claim you've been libelled.  All you have to prove is that your reputation has been
harmed -- nothing about what the person who published the libel knew when they
published.

Explain the irony in the following quote from The Taming of the Shrew."If either of you both love Katharina, Because I know you well, and love you...

This is our first introduction to Baptista and his two
daughters, Katharina and Bianca. We can sympathise with Baptista - he has two beautiful
daughters, but one, Katharina, is so shrewish that no suitor will spend any time with her. The
other, Bianca, is lovely and meek, as a young girl should be, and obviously has a number of
suitors. Baptista looks as if he is doomed to be stuck with Katharina for the rest of his life,
and thus he engineers a plan to try to ensure that he marries off both of his daughters, rather
than just the kinder, more pleasant one. Thus the quote you have highlighted expresses his plan:
he will only allow Bianca to marry once Katharina is safely married. Ironically, he then says to
the suitors of Bianca, Gremio and Hortensio, that if they "love" Katharina, they have their leave
to "court" her. This kind offer on the part of Baptista is quickly rejected by Gremio and
Hortensio, who clearly prefer Bianca, and thus are scared off by the decree that Baptista
makes.

Thus the situation is ironic as Baptista must know that the
two suitors are highly unlikely to marry Katharina--she is far too waspish and shrewish to
attract them, thus setting the stage for the rest of the play and Petruchio's conquest of "the
shrew."

Endothermic and ExothermicExplain how endothermic and exothermic relate to cellular respiration and photosynthesis.

An endothermic reaction needs to absorb energy in order
for it to be able to proceed and an exothermic reaction releases heat as a result of
this chemical reaction. If you consider photosynthesis, light or radiant energy is
required for this reaction to occur. It must be absorbed by the chlorophyll pigment in
the chloroplasts of the plant cells. After that occurs, the light reaction can proceed
and water molecules are split into hydrogen and oxygen atoms. Then, the dark reactions
allow carbon fixation to occur, forming glucose. Oxygen and water are also released.
This would not be possible without the radiant energy being absorbed. Cellular
respiration, on the other hand is exothermic. Glucose and oxygen combine in the
mitochondria of cells and the end result is the release of carbon dioxide and water
which are waste products, the production of A.T.P, a high energy molecule, and heat is
also released.

In which ways could Kipling's novel Kim be compared with Thomas Hardy's The Return of the Native?

Here are a couple of general comparisons to consider when
you are reviewing Kim and Return of the
Native.

1. Women as a Distraction:
In Kim, Kipling includes only a handful of women,
and they generally serve to distract the main male characters from their spiritual and
physical quests. Similarly, in Hardy's Return of the Native,
Eustacia almost prevents and later plays a role in ruining Wildeve and Thomasin's
marriage. More significantly, many in the village believe that Eustacia ruins Clym not
only by marrying him but also by holding him back from their high expectations for
him.

2. Search for Identity:
Throughout Kim, the title character searches not only for his
earthly identity and parentage but also for his philosophical purpose or being just as
other characters look for "enlightenment." While Eustacia's quest is not for spiritual
enlightenment, she does long for a sense of belonging. She never fits in with the
villagers who live around/on the heath, and she desires for a man to rescue her so that
she can escape to a place of high culture where she feels she will belong. Clym, who
becomes Eustacia's husband also wants a purpose in life. Although his mother and the
villagers cannot understand why he does not love Paris, Clym longs for something deeper
in life. In the end, after Eustacia's death, he seems to find it in his wilderness
"lectures."

There are other similarities and differences
between the novels; so see if you can come up with them, but keep in mind that the
authors, Kipling and Hardy, had quite different philosophical
perspectives.

What is the purpose of propaganda?

The way in which I teach my classes about propaganda is that it
is usually used by an established government, to sway public opinion behind a certain policy, or
by a group seeking to remove a government from power, such as the Sons of Liberty and the Boston
"Massacre" (five people were killed).  So propaganda is usually government related.  The US
government had an entire official agency dedicated to propaganda to motivate Americans to support
World War I involvement.

Yellow Journalism, such as that of the
Gilded Age and the early 20th century, was lying or exaggerating to the public in a similar way,
but for a different motive: profit.

And then there's "Muckraking"
(as described by President Teddy Roosevelt), where Progressive authors and activists around 1900
exaggerated their stories of suffering and disaster to motivate public opinion towards reforms. 
This would include Upton Sinclair's novel, The
Jungle.

Describe the basic conflict between those who base ethics on reason and those who base ethics on feelings and affections.no

I see the basic conflict as
thus:

If you base your ethics on reason, then you don't
leave any room for exceptions. You have reasoned it out, so to speak, that what is wrong
is wrong under any circumstances. There are no exceptions or you would have rather
shakey ethics.

When you base your ethics on emotions,
feelings or affections, you are bound to constantly "adjust" you ethics based on how 
you are feeling at the moment.

You can see this in the
topic of abortion: Suppose I say that abortion is wrong...but wait, my friend needs an
abortion, so that's ok because she is my friend, and I like her. So it had to be
done.

Stealing is wrong, and stealers should be punished.
Wait..my child just got caught stealing. Ok. I'll (the parent) will pay the price,
because the punishment will be too hard on my child. This could go on
forever.

In "The Minister's Black Veil," please discuss the symbolism of the black veil.

To respond to this excellent question you need to think about
how the veil is interpreted by the parishioners of Mr. Hooper. It is clear from his encounter
with Elizabeth that some see his black veil as a symbol of some form of secret sin that he has
committed:

"Beloved and
respected as yo are, there may be whispers, that you hide your face under the consciousness of
secret sin. For the sake of your holy office, do away this
scandal!"

And yet, at the same time,
the horror that the black veil strikes in people indicates that when they are confronted with the
black veil they are also, in a way, confronted with their own secret sin that they would rather
forget about, ironically making him very successful in his
job:

By the aid of his
mysterious emblem - for there was no other apparent cause - he became a man of awful power, over
souls that were in agony for
sin.

Lastly, at his deathbed, we are
told that Mr. Hooper himself regards the black veil as a symbol of the individual's isolation
from God and from his fellow man because of his sinful state:

readability="12">

"When the friends hows his inmost heart to his friend;
the lover to his best beloved; when man does not vainly shrink fro the eye of his Creator
loathsomely treasuring up the secret of his sin; then deem me a monster, for the symbol beneath
which I have lived, and die! I look around me, and, lo! on every visage a Black
Veil!"

Thus Mr. Hooper interprets his
black veil as a separation both from God and from others, but note how at the end he makes it
clear that this is a condition that all humans suffer.

Therefore I
think there are three main symbolic meanings in the tale. The symbol of the black veil is a very
rich one because people interpret it differently, but it is important to ask - what do you as a
reader think it symbolises?

What rules does Tom make up for himself when he begins work in "Contents of the Dead Man's Pocket"?

In "Contents of the Dead Man's Pocket," after the yellow sheet
blows out the window of his eleventh-floor apartment, Tom Benecke decides that he is going out on
the building's ledge after it.  As Tom calculates what he will do to retrieve the important
worksheet.

• He knows that he better hurry and "get this
  over with" before he thought too much


• As he moves along the ledge,
  Tom prevents himself from thinking about what he is doing.


• He does
  not permit himself to look down.


• When he catches hold of the
  paper, Tom sees through his legs the street below and terror grabs him; however by sheer
  willpower, he forces himself to straighten up and stand.


• To keep
  from fainting and save his life, Tom concentrates on staying conscious, drawing deep breaths and
  fighting to keep himself alert.


• As thoughts of his death flood his
  mind, Tom forces his mind shut against every idea but what he must do to get back into the
  apartment.


• "By a kind of trick" of his mind, Tom moves each foot
  methodically.


• When he slips against the window, Tom sees
  everything as he had left it through the window that he cannot open.  So he tries  to alert
  people by shouting and lighting makeshift flare and by dropping coins to the street, Tom realizes
  that nothing is working, but he cannot remain on the ledge too long. 
  


• So, he tests the window pane, knowing that he has only one chance
  to break it.  He shoots his arm forward, shouting his wife's
  name.

In "The Lady, or the Tiger?"what are two man vs society conflicts?

Great question! I think one approach you could take is to
think of the internal conflict that is going on within the "semibarbaric" king that we
are introduced to in the first paragraph:

In the very olden
time, there lived a semibarbaric king, whose ideas, though somewhat polished and
sharpened by the progressiveness of distant Latin neighbours, were still large, florid,
and untrammelled, as became the half of him which was
barbaric.

This indicates a man with two halves, each in
conflict with the other. The barbaric side, of course, represents man, as he wants to
follow his natural inclinations, however, he has to balance this with the "civilised"
side that cannot be as barbaric as he would like.

Of
course, another external man vs society conflict is evident in the princess and her
desire to do what she wants and have a lover rather than play the role that society has
ordained for her. This is what results in the terrible decision that she must make at
the end of the story. Because she has followed her own inclinations and fallen in love
with someone privately, she has gone against society and her job as princess, for it is
not for her to choose with whom she will marry and with whom she will fall in
love.

Therefore, analysing the character of the King and
the Princess yields two interesting conflicts between man and society that you can
hopefully write about and analyse a bit further. Good luck!

What quotes from Shakespeare's MacBeth provide evidence that Lady MacBeth knew right from wrong?

The quote in Act 2, Scene 2, lines 12-13, "Had he not
resembled/my father as he slept, I had done't" indicates that Lady MacBeth does have
some conscience.

The quote indicates that she has some
knowledge of right and wrong because she shows compassion towards King Duncan by
relating the appearance of the sleeping Duncan to memories of her father. The fact that
she states she could not kill him as he slept there, helpless, resembling her father,
indicates to the reader that she is not purely evil.

If you
are searching for other instances of Lady MacBeth's humanity, consider this- it can be
interpreted that guilt drove her mad. The idea that one could be so consmed with guilt
that she hallucinates and eventually ends her life certainly shows knowledge that her
actions were wrong. While I find this a compelling argument for her humanity, some may
argue that Lady MacBeth's eventual insanity was a result of stress, pressure, or
fascination, not guilt.

For more information about Lady
MacBeth's character, I've linked to her character analysis.

What lines in the play Macbeth portray ambition?

The two characters that  display the most ambition in this play
are Macbeth himself and Lady Macbeth.  They reveal the depth of their ambition in their
willingness to murder Duncan in order for Macbeth to gain the throne, as predicted by the Weird
Sisters.

They each confess their ambition to the audience -- Lady
Macbeth in Act I, scene v, and Macbeth in Act I, scene vii.

Lady
Macbeth receives a letter from Macbeth, telling her of the witches' predictions.  Immediately,
her ambition is inflamed.  She says:

readability="7">

Glamis thou art and Cawdor; and shalt
be

What thou art promised. .
.

And
later:

The raven
himself is hoarse

That croaks the fatal entrance of
Duncan

Under my
battlements.

By determining that
Macbeth "shalt be" King (what he was promised by the witches) and calling Duncan's entrance into
Macbeth's castle "fatal," Lady Macbeth shows how readily she embraces any action necessary in
order to make her husband King.

Two scenes later, Macbeth reveals
that he is motivated by the same ambition as Lady Macbeth.  In his first soliloquy of the play,
he reveals to the audience that, though there are numerous reasons that killing Duncan is a
really bad idea, he will go forward with the plan anyway.  His reason?  Ambition.  He
says:

. . .I have no
spur

To prick the sides of my intent, but
only

Vaulting ambition. .
.

And so, both Lady Macbeth and
Macbeth, by the end of Act I, have committed to a treasonous course of action:  the killing of
King Duncan in the name of ambition.

Summarize what happened in the Texas vs. Johnson supreme court case.Supreme Court Case

The case of Texas v. Johnson was decided in 1989 and is a
very famous and controversial case.  In this case, the Supreme Court held that laws
against the burning of the United States flag are
unconstitutional.

Basically the Court reasoned that these
types of laws are aimed at the content of speech.  These
laws are saying that a certain message (presumably, in this case, the message that you
dislike the flag or what it stands for) may not be expressed in the United
States.

The Court held that such a law is a violation of
the First Amendment.

What does the phrase "and ignobly garnered largesse of great cities" mean in "Compliments of the Season?"

Let's look at the individual
words.

• "Ignoble" means immoral or in some way
  bad.


• "Garner" means to acquire or
  get.


• "Largesse" means something like "riches" -- things
  that the rich have that they can then give away.
  

So if you put those three together, you can
see what O. Henry is saying.  Fuzzy is a beggar and one of the things he subsists on is
the "ignobly garnered largesse of great cities."  In other words, part of what supports
him is handouts from rich people (largesse) that was gotten in immoral
ways.

By saying this, O. Henry is arguing that the rich of
this era (the "Gilded Age") were "robber barons" who got their money by exploiting
others.  So this is a bit of social criticism that is put in to this amusing
story.

What kind of book ("folio volume") was in the middle of Dr. Heidegger's study in "Dr. Heidegger’s Experiment"?

In "Dr. Heidegger's Experiment," the rather eccentric Dr.
Heidegger has invited four of his old (and miserable) friends to his study, a "curious
place." It's full of many things, including volumes and volumes of books.  The folio to
which you refer is seen in the middle of the table and it draws everyone's attention
even in the midst of so many other books.  Hawthorne describes it this
way:

The
greatest curiosity of the study remains to be mentioned; it was a ponderous folio
volume, bound in black leather, with massive silver clasps. There were no letters on the
back, and nobody could tell the title of the
book.

That's what it looks
like.  More importantly, though, this particular book has special properties which will
be pivotal to the experiment to come.

readability="9">

But it was well known to be a book of magic; and
once, when a chambermaid had lifted it, merely to brush away the dust, the skeleton had
rattled in its closet

and
other static elements in the room came to life.  This is a book of magic, then, from
which Dr. Heidegger does his magical work. 

What is the relation between freedom and responsibilities?

I think that much of this depends on specific thinkers and
what their opinion is of where the line between pure expression of freedom and the
notion of accountability exists.  Most Classical Liberal thinkers like Locke argue that
one's freedom is limitless until it seeks to encroach on another's being.  In this
light, the responsible use of freedom is to ensure that one's personal expression does
not trade off with another.  Some have argued that one has to link their own sense of
freedom with a collective entity.  One cannot be personally free if there is social
bondage or conditions that limit others.  This conception of freedom makes a stronger
link between freedom and responsibilities to others.  In American political thought, an
interesting discussion of the notion of freedom and responsible speech and action
accompanies a study of Supreme Court Justice Holmes' misquoting of "yelling fire in a
crowded theatre."  It is interesting to examine how Justice Holmes links freedom and
personal responsibility.

Describe Pride and Prejudice as social satire.

Pride and Prejudice is a social
satire because its main themes, which are a) courtship,  b) the need for marriage, c)
women's lack of social ranking, and d) the division of social classes are mocked
throughout the novel by presenting characters which are stereotypical of such themes in
awkward situations.

Austen clearly uses her own voice
through Elizabeth to explain her own views of these main themes: Why should women marry
just to get financial stability? Why the extreme respect to the aristocracy? What's with
Darcy's proposal? How DARE Mr. Collins propose? All these things are presented in a
complex yet funny way because the characters produce the
reaction.

In Mr. Collins we see the extreme bender for the
aristocratic Lady Catherine.

In Lady Catherine we see the
extreme, self-serving aristocrat who expects the world to bend to
her.

In Bingley we see the weak, and easily manipulated
upperclassman.

In Darcy, we see the snobby and full of
himself aristocrat who even insults Elizabeth AS he
proposed!

In Mr and Mrs. Bennet we see every reason why
people should never marry.

In Lydia we see the extremes of
how social opinion changes of you just for becoming a married
woman.

In all, it is entirely satirical and completely
interesting.

In Susan Glaspell's one-act play, Trifles, what is the crisis?A crisis determines the outcome of the action.

The crisis of the story arises when Mrs. Hale and Mrs.
Peters make a surprising discovery in Mrs. Wright's
home.

Mrs. Wright has been arrested on suspicion of the
murder of her husband and is being held in the jail. The women come to gather some
things to take to their neighbor while she is being
held.

In a kitchen cupboard, they discover an empty
birdcage. In Mrs. Wright's sewing basket, they discover the body of a dead canary,
wrapped as if Mrs. Wright had intended to bury it. The bird seems to have been killed
intentionally. While they women believed Mr. Wright to be a cold, cheerless man, when
they realize that it was probably his hand that killed the bird, they come to the
immediate and chilling conclusion that Mrs. Wright probably did
kill her husband for destroying the one beautiful thing in her
life.

The crisis, then, arises from their knowledge of what
probably took place, and the choice they must make about what to do with their
discovery.

Because the men investigating the house for
clues have been so dismissive about the sacrifices women make to keep a house running
and take care of their families, Mrs. Hale and Mrs. Peters become resentful of the men
who so casually brush aside a woman's homemaking endeavors and related worries as
"trifles."

With a growing sense of camaraderie for their
neighbor who they did not know well enough, but whose suffering they can now understand,
the women choose to say nothing of their discovery, drawing a very real dividing line
between the concerns of the men and their world, and the reality of
a woman's existence at the hands of men.

Describe the decipherment of Linear B.

The Linear
B syllabary used by the Mycenaean was first deciphered in 1952 by Ventris and Chadwick.
A large number of Linear B tablets had been found at Knossos in Crete (and also Pylos on the
mainland), meaning that Ventris, a mathematician familiar with the cryptological advances from
World War II could apply frequency analysis to the tablets. A pattern of similar word beginnings
with varied endings showed the language to be inflected. Ventris guessed that the language was
Greek, and began searching for known Cretan place names beginning with characters he assumed to
be vowels. Slowly, he identified the language as a syllabary and began to construct a syllable
table. Once he had identified a small number of syllables, he and Chadwick realized that they
were dealing with an early form of Greek with some strong similarities to Homeric Greek and
quickly began to identify common words and place names. The large number of tablets recovered
enabled use of statistical methodology.

The tablets are short
administrative records, mainly of who paid or sent what goods to whom, and reveal a great deal
about the economic and material culture of Mycenaean Greece.

A right angle triangle has a 40 degree angle and hypotenuse = 10. Find the other angles and sides.

Let ABC be a right angled  triangle with B as right angle.
Then  the hypotenuse AC = 10. Let angle A = 40 degree.

By
trigonometry,

sinA = Opposite sine of angle A/ hypotenuse =
BC/AC = BC/10.

So BC = 10 sinA = 10 sin40deg  =
6.4279.

Similarly  cosA = Adjacent side ofangle
A /hpotenuse = AB/AC = AB/10.

So AB = 10 cosA = 10cos40 deg
= 7.6604.

Angle B = 90 degree( implied by data0. angle A =
40 deg (given).

Since sum of all 3 angles is 180 degrees,
so angle C = 180-(B+A).

=> C = 180-(90+40) = 50
degree.

Angles ,A = 40 deg, B = 90 deg, C = 50
deg.

AC = 10 , BC = 6.4279 and  AB =
7.6604.

In "The Son's Veto" by Hardy, what does the son veto, and why is he embarrassed about his mother?

Randolph veto's his mother's plan of marrying Sam, the
sweetheart of her youth. After she is widowed by Vicar Twycott's death, she encounters Sam one
day as if by chance, though he willingly confesses to intentionally looking for her as he had
heard that she lived along that road:

readability="11">

'I can't come down easily, Sam, or I would!' she said.
'Did you know I lived here?'

'Well, Mrs. Twycott, I knew you lived
along here somewhere. I have often looked out for
'ee.'

As they become reacquainted over
time, Sam declares in his modest way that he still loves her and longs to have her as his
wife--they would run a shop together in their village of Gaymead. Sophy admits that she would
dearly like to accept but that her son, who "seems to belong so little to [her] personally,"
would have to be "informed." She secretly fears this because she doubts Randolph would approve
and more greatly doubts she could "defy him" and marry against his
protests.

This is where the son's veto begins. When she tells him
that she plans to marry a man from her village who is not "what [he] would call a gentleman,"
Randolph "burst into passionate tears." Sophy cannot defy him and go against his desires--he
knows that having a mother married to a village peasant shop keeper would ruin his standing in
society and his chances for the kind of success he is aiming at. His passion of tears is his
first veto (veto: the right to reject a
decision or plan made by another) by which he rejects his mother's
desires.

As the years passed, and Randolph held more psychological
and social power over his mother, no matter how often she brought up the idea that now she could
surely marry Sam quietly, Randolph unceremoniously and pitilessly rejected the idea and forbade
her do so. He thus vetoed her desire to marry Sam literally until her dying
day.

The primary reason he vetoes her like this is that he is
already humiliated and embarrassed by his mother's low social and educational status and
correctly speculates that should she marry a villager of her same social, economic, and
educational status, he would lose all prestige in society. He would thus be cut from working and
socializing in the choicest and highest circles of society--circles he was introduced into as a
schoolboy because of his father's care in educating him at the best school and
university.

[W]hen he
did [speak] it was to say sternly at her ...: 'I am ashamed of you! It will ruin me! A miserable
boor! a churl! a clown! It will degrade me in the eyes of all the gentlemen of
England!'

Why did Mayella try to kiss Tom Robinsin?

Beyond the basic answer that she was attracted to him, there ay
be a number of reasons for Mayella's behavior towards Tom. She obviously thinks her word is more
trustworthy than his simply because she is white. She thinks she can break the rules of her class
and culture by making advances towards a black man.

Despite her
poverty and lack of education she thinks she is superior to this honest man, and never stops to
think that he might reject her. Her life is empty and dull and she seeks amusement and a sense of
power. By trying to manipulate and dominate Tom she is trying to raise her own sense of
self-worth. But this attempt fails, and in her humiliation she retaliates for Tom's rejection by
accusing him of rape.