Can I solve the equation like a quadratic? 2cos^2x + cos x-1=0

To solve for 2cos^2x+cosx-1 =
0

We rewite the equation
as:

2cos^2x + 2cosx -cosx -1 =
0.

We group th left
as:

(2cos^2x+2cosx) - (cosx+1) =
0

2cosx(cosx +1) -1(cosx+1) =
0

(cosx+1)(2cosx -1) =
0

Equate the factors to
zero:

cosx+1 = 0

2cosx-1 =
0

cosx+1 = 0 gives cosx = 1, or x = pi/2 , 2npi+pi/2 0r x =
2npi-pi/2.

2cosx-1 = 0 gives cosx = 1/2. x = 2npi + pi/3 or
x = 2npi-pi/3.

What is the equation of the straight line tangent to the graph of y = tan x at the point (4 ; 1)?

Our task is to find the equation of the straight line tangent to
the graph of  y = tan x at the point (4 ; 1)

I would use trigo
identity to convert tangent into sine/consine:

y=tan x= (sin x ) /
(cos x)

To find the equation of the tangent to any curve, we find
the 1st derivative of the
curve:

dy/dx

= [ (cos x) . d (sin x)/
dx  - (sin x) . d (cos x)/dx ] / (cos x)^2

= [ (cos x). (cos x)  -  
(sin x) . (- sin x) ] / (cos x)^2

= [ (cos x)^2  +  (sin x)^2 ] /
(cos x)^2

= 1 / (cos x)^2

To find the
slope of the tangent to the curve at (4, 1), we substitute  x=4  into the expression 1 / (cos
x)^2 .

1 / (cos x)^2

=  1 / (cos
4)^2

=  2.3406

We can find the value of
c by putting this value into "m" of the standard equation of a straight line y = mx + c ,
together with the values of x=4 and y=1.

y = mx +
c

1 = (2.3406)(4) + c

c =
1-(2.3406)(4)

=  1-9.3624

=  
-8.3624

Hence the equation of the tangent to the curve at (4,1)
is

y = 2.3406x -
8.3624

To be convinced of the solution, click on the
link provided at the bottom of this
answer

can someone help me with this trigonometry question?!the height of a projectile can be modeled by the equation y-=16x^2+96x+256, where y is the...

This is not trogonometry. This is maths. This is dynamics
(, maths applied in physics.

We presume the equation of the
projectile y = -16x^2+96x+256.

So when x= 0, the height of the
projectile from the ground is y = 256.

If we put  y = 0 in the
equation we get  the time x the projectile reahes the ground.

dy/dx
= (-16x^2+96x+256) = -32x+96.

Whenx = 0, dy/dx = -16*0^2+96. So the
initial velocity u of the projectile = 96 ft/sec.

d2y/dx = g =
(-32x)' = -32 feet/sec^2 is the acceleration due to
gravity.

Therefore  -16x^2+96x+256 = 0  gives the solution for x
 when the projectile grounds.

-16x^2+96x+256 = 0 divided by -16,
gives x^2-6x+16 = 0.

x^2-6x+2 =
0.

(x+2)(x-8) = 0.

Therefore x= -2, or
x = 8 seconds.

So the projectile was projected 2 seconds ago from
the ground and now (when x= 0) it is at a height of y = -16*0^2+96*0+256 feet = 256 ft. So the
velocity at 2 seconds earlier should have been  u-2*32 = 160
ft/seconds.

So the projectile reaches its maximum height when its
vertical velocity is zero due to the downward ravitational pull. So   the final vertical
velocity  v = u-gx = o. Or 96-32x = 0. Or x = 96/32 = 3. So in another 3 seconds, the projectile
reaches the highest point given by : y(x) = -16x^2+96x+256 for the time x= 3seconds. So y(3) =
-16*3^2+96*3+256 =  400ft.

Velocity at the time of grounding v= 
u+gt = 96 -32*8 = - 160 ft/sec indicating that the direction of velocity is towards
ground.

Summary:

Status of the
projectile.

At time x = 0 (now), height of the projectile =
256.

The velocity of the projectile now(x= 0) = 96 ft/sec direction
is up.

Acceleration due to gravity = g = 32 feet per
second.

The velocity of the projectile t seconds ago when it had
started from the ground = 96 - (-32*2) = 160 ft/sec
upwards.

Maximumum height =
400ft.

Grounding time = after 8
seconds.

Grounding velocity = -160ft/sec  , direction
down.

What does Siddhartha conclude about finding peace?

"Peace" is used no fewer than 15 times in
Siddhartha.

• Peace is mainly
  connected to Gatama (Buddha).  Siddhartha
  says:

readability="12">

...his quietly dangling hand expressed peace,
expressed perfection, did not search, did not imitate, breathed softly in an
unwhithering calm, in an unwhithering light, an untouchable
peace.

• Near
  the beginning of the novel, Siddhartha says that his father, though a Brahmin (priest),
  did not have peace:

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...but even he, who knew so much, did he live in
blissfulness, did he have peace, was he not also just a
searching man, a thirsty
man?

• Siddhartha
  says that Vasudeva also has attained peace by the
  river:

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With a bright smile, he left; Siddhartha watched
him leaving. With deep joy, with deep solemnity he watched him leave, saw his steps full
of peace, saw his head full of lustre, saw his body full of
light.

• Siddhartha
  says that Kamala has peace that few people
  have:

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You are Kamala, nothing else, and inside of you,
there is a peace and refuge, to which you can go at every
hour of the day and be at home at yourself, as I can also do. Few people have this, and
yet all could have
it.”

• Siddhartha
  also admits that his son is not a source of peace, but of
  worry.

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Siddhartha began to understand that his son had
not brought him happiness and peace, but suffering and
worry.

• Govinda
  admits that he has not found peace, even as an old
  man:

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“Siddhartha,” he spoke, “we have become old men.
It is unlikely for one of us to see the other again in this incarnation. I see, beloved,
that you have found
peace.

• Siddhartha
  answers Govinda:

readability="16">

...I cannot love words. Therefore, teachings are
no good for me, they have no hardness, no softness, no colours, no edges, no smell, no
taste, they have nothing but words. Perhaps it are these which keep you from finding
peace, perhaps it are the many
words.

So, peace is being at
home with yourself, and it is not found in words or the teachings directed at others.
 Peace, it seems, is intensely personal, and it is connected to one's vocation.  It can
be found by a courtesan (prostitute) Kamala, the Buddha, or the ferryman Vasudeva.  Most
of all, peace comes with a thirst and a search for it.

In The Odyssey, describe Odysseus' relationship with Athena and Zeus.

Odysseus' relationship with these two particular gods could be
described specifically as close, devoted, and friendly.

In regard to
Athena, as the goddess of war and wisdom, she frequently appears to Odysseus when alone to reveal
her will for him, but she talks to him as if they are old buddies. Perhaps this positions
Odysseus as a little higher than the rest of the human race for the reading audience as they
shape perception of him.

In terms of Zeus, Odysseus prayed to him
and cited him as the one who had all power to fix the situation or drop his hand should he find
need to discipline Odysseus. Odysseus worked to obey and worship
Zeus.

Both gods assist Odysseus and Telemachus in killing the
suitors. Without their help, the two men would have surely died. This tale may have a purpose in
demonstrating power in relying on the supernatural.

In The Merchant of Venice, who is the more intresting and reliable character in the play: Portia or Jessica?

This is a very easy question to answer as Portia is by far the
most interesting and definitely the most reliable character compared to Jessica. Jessica is an
interesting character in the way that she can be portrayed incredibly negatively in the play.
Note how when she elopes with Lorenzo, she doesn't just escape, but also steals his riches.
Likewise, when they engage on their honeymoon spree, she is rumoured to have exchanged a
turquoise ring belonging to her mother for a monkey. It is clear that what her father treasured
and held dear, she squanders without a thought for her father's feelings. Note what Shylock says
about the ring she exchanged for a monkey:

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It was my turquoise; I had it of Leah when I was a
bachelor. I would not have given it for a wilderness of
monkeys.

Such scenes allow Jessica to
be presented not as a daughter escaping the harsh life her father inflicts on her but as a
callous, unthinking and cruel daughter.

She is quick to convert to
Christianity and leave her father's faith behind her, and all of these characteristics question
her reliability and also cast doubts upon the kind of character she
is.

Portia, however, is certainly reliable. Once she has married
Bassanio, she is willing to spend all of her fortune to help Antonio escape his fate. She remains
constant to Bassanio and his friends, even engineering the release of Antonio herself,
recognising her husband's inability to help Antonio himself. This arguably makes her a
fascinating Shakespearian heroine, as she is shown to be superior to the male characters and
directs them in her play which she carefully stage
manages.

Therefore, considering Jessica and Portia, it is clear that
Portia is by far the most interesting and reliable in the play. Jessica is at best only a minor
character, and the text raises severe questions about her reliability and
characteristics.

Find two references to disease and decay in Act I of Hamlet. What might these references signify?

One important example of the theme of decay is found in Hamlet's
first soliloquy when he says that Denmark, and more specifically his mother's remarriage "Tis an
unweeded garden / That grows to seed; things rank and gross in nature possess it merely."  Hamlet
is comparing his mother and Claudius to unweeded garden.  In order for a garden to thrive, be
beautiful or bear food, it must be kept free of weeds which will rob the good plants of much
needed nutrients.  Gardening and weeding is not always easy, but it is necessary.  Gertrude may
not like being alone or losing her status as Queen, but she should have been stronger and stayed
away from Claudius rather than let him and her moral weakness corupt
her.

Another example of decay is Marcellus's remark at the end of
scene 4.  All of the men are out with Hamlet as he prepares to confront the ghost of King
Hamlet.  The arrival of a ghost is never a good thing -- it is usually to convey unfinished
business or to reveal big secrets or, worse case senario, the ghost is really the devil is
disguise.  In response to this whole situation Marcellus says, "Something is rotten in the State
of Denmark."  He is fully aware that the ghost is a portent to bad things and this is a
potentially very bad situation for Hamlet and for all of Denmark.

In Chapter 16 of The Giver, what do you think of Jonas's decision to stop taking the pills?

Chapter 16 is a very interesting part of this novel because in
it we see that Jonas, through the memories he is experiencing, is realising the short comings of
the society of which he is a part. Note that in this chapter he tells his first ever lie to his
parents, when they try to explain to him why love is a "meaningless" word. Then, he whispers to
Gabriel one night about his desire to see change in their world and to think about how it could
be improved by returning some of the things that have been taken
away:

"I don't know
how, but there must be some way for things to be different. There could be
colours."

Thus Jonas's decision to not
take the pills represents his first act of rebellion against the society he is part of, and which
he realises has robbed him and his fellow people of so many rich aspects of
life.

Differentiate f(x) =( cosx)^3 * (lnx)^2

Given the function f(x) = (cosx)^3 *
(lnx)^2.

We need to find the first derivative of
f(x).

We notice that f(x) is a product of two
functions.

Then we will use the product rule to find the first
derivative.

Let f(x) = u * v    such
that:

u= (cosx)^3     ==>   u' = -3(cosx)^2 *
sinx

v = (lnx)^2      ==>  v' = 2lnx *
1/x.

Then we will use the product
rule:

==> f'(x) = u'*v +
u*v'

Let us substitute with u, u' , v', and
v.

           = (-3sinx(cosx)^2 *(lnx)^2 + (cosx)^3
(2lnx)/x

            = (cosx)^2 (lnx) [ -3sin*lnx +
2cosx)/x)

==> f'(x) = (cosx)^2 (lnx) [
-3sin*lnx + 2cosx)/x)

In Macbeth, what is the point of Lady Macbeth's baby imagery in Act I Scene vii?

This is a much-debated question by critics! Lots
of profitable time has been lost in my opinion by arguing about whether Lady Macbeth
actually had any children, how many, and what happened to them. However, such questions
seem to miss the point of what Lady Macbeth is doing here. Note that in this scene, her
purpose is to persuade Macbeth and convince him, in spite of his doubts, to kill Duncan
and commit the crime of regicide so he can seize the crown and become King of
Scotland.

In this context then, Lady Macbeth uses the
imagery about her baby to try and shame Macbeth into killing
Duncan:

I
have given suck, and know

How tender 'tis to love the babe
that milks me:

I would, while it was smiling in my
face,

Have pluck'd my nipple from his boneless
gums,

And dash'd the brains out, had I so
sworn

As you have done to
this.

Let us note what Lady
Macbeth is trying to do here. Macbeth has made the promise to kill Duncan and now he is
backing off out of fear or lack of courage. Lady Macbeth is saying that had she so sworn
to commit such a crime, she would have done that which was most horrible and alien to
her feelings, rather than break the oath. To emphasise the point she uses an act that
would have been most horrible and shocking to her feelings - the murder of her child
whilst it was at her breast - to underline the solemnity of the promise that Macbeth
made.

What is psychopharmacology?

Psycho-pharmacology is a field of study that takes a
closer scientific and psychological look at the effects of pharmaceutical and other
drugs on mood, the senses and behavior.  This field has really come into its own in the
psychological and medical industries in the past twenty years, as both the number of
drugs currently available for treatment, and the much larger number of people who have
at least one prescription.

As new drugs are developed and
put into the production pipeline, psycho-pharmacology is critical in determining what
negative side effects may exist for a new drug, so that adjustments in dosage and
chemical makeup can be made, and hazards and interactions appropriately identified. 
Such study and knowledge is also applied to the use of illegal drugs, so that better
understanding of how to offer treatment and education about such drugs is
possible.

If f(x)=x^4 + 1 calculate x1+x2+x3+x4 and x1^2+x2^2+x3^2+x4^2.

f(x) = x^4+1.

We pressume
x1,x2,x3 and x4 are the roots of x^4 +1 = 0.

To calculate
x1+x2+x3+x4.

By the relation  between the roots and
coeficints, x1+x2+x3+x4 = - (coefficientnt x^3/ coeficient of
x^4).

So x1 +x2+x3++x4 = 0

and
x1^2+x^2+x3^2+x4^2.

x1^2+x2^2+x3^2+x4^2 = (x1+x2+x3+x4)^2
-  2( sum of xixj) .....(1)

By the relation  between roots
and coefficients of the equation x^4+1=o,

sum of (xixj) i
not equal to j  = (coefficient of x^2)/coefficient of x^4) =
0.

Therefore x1^2+x2^2+x3^2+x4^2 = 0-2*0 =
0.

How does Boxer take away freedom and equality?animal farm book

To be completely accurate, throughout the book
Animal Farm, the animal who is in charge who regularly robs the
other animals of freedom and equality is Napoleon.

If your
question is truly about Boxer, here are a few ideas that might relate. Boxer works so
hard that he doesn't realize that he is constricting himself and others to a life of
work. Because Napoleon knows that Boxer (who represents the Russian working class) "will
work harder" Napoleon counts on this and ultimately promises items to purchasers later
in the book. By being subservient to Napoleon and his rule, Boxer ensures a loss of
freedom and equality for the rest of the
animals.

Ultimately when Boxer is no longer able to serve,
Napoleon has him sent to the "hospital"/knacker. Boxer's presence did always at least
provide a protection of the rest of the animals, but when he is purged from the rest of
the group forever, they no longer have him to stick up for them if he even would have
used his strength to do so. This ensures they will never be
free.

"The Circus people in Hard Times express a vital human impulse." Discuss.

Great question! This statement identifies the way that the
circus people and Bounderby and Gradgrind are set in opposition against each other, one
championing the power of the imagination and make-believe, the other championing the power of
utilitarianism and the dominating force of "Facts." A chapter you will want to examine very
carefully is Chapter 6 in Book the First, entitled "Sleary's Horsemanship." One aspect that is
noteworthy about this chapter is the symbol of the Pegasus, the flying horse of Greek legend,
that gives its name to the public house frequented by the circus folk. Note the description we
are given of the pegasus on the wall in the public house:

readability="10">

Framed and glazed upon the wall behind the dingy little
bar, was another Pegasus - a theatrical one - with real gauze let in for his wings, golden stars
stuck all over him, and his ethereal harness made of red
silk.

Key to remember is that in
Chapter 2 we were given a very precise, utilitarian definition of a "horse." Let us also remember
that in this same chapter Gradgrind tells his students authoritatively that any wallpaper with
horses on it is unrealistic because horses do not live on walls. In contrast to this reductionist
view of the world, the Pegasus symbolises the kind of world that the circus people live in - a
world of fantasy, of make-believe, a world where horses dance the polka and can fly. Crucially,
this is a world from which the Gradgrind children are excluded. Thus the very name of the public
house reinforces this division between fact and fantasy, between imagination and drudgery and
between joy and coldness. Note how Sissy is shown to have experienced real human warmth and love
from her circus family - love and warmth that have never been experienced by Tom and
Louisa.

What is an inverting amplifier?Give an example.

In electronics, an amplifier is a circuit that multiplies
an input signal by a factor called the Gain. So, if the Gain is 10, the output signal
will be 10 x larger than the input signal. It is often the case that the gain is
negative; in this case the output signal is still 10x bigger than
the input signal, however the signal is inverted. This means that where the input signal
is high, the output signal is low, and vice-versa.

One
example is a single transistor. For simplicity, lets consider the digital case where we
consider the transistor to be a simple on/off switch.  An NPN transistor has three three
terminals: the collecter, base, and emitter. If the base has a voltage on it, the switch
is closed, and current flows. If the base voltage is zero, then the switch is open, and
no current flows.

Now, consider the following
circuit:

5V o------/////-----------SWITCH-----o
GND

Take the output here^

So
what is the output of this circuit based on the input to the NPN transistor? If there is
no current, then the voltage drop across the resistor is 0 V, therefore the output
voltage is 5V. If the switch is closed (say with a control voltage of 1 V), then the
output is connected to GND, so the output is close to 0
V.

So,

Input = 0 V -->
output = 5 V

input = 1 V --> output = 0
V

The outputs here are inverted. Similarly with this switch
example, if the transistor is biased to be on the verge of turning on or off (three more
resistors needed), then a very small ac signal -- like an audio signal -- can be
superimposed on the dc bias point and you get a true amplifier. The gain of this
amplifier is still negative, for the same reasons in the example
above.

What qualifications should a student have in order to be appointed to a city council?If a city has a youth commission, should the city council...

If the city council is going to appoint a youth councilman
to its council, there are things that should be taken into consideration other than
simply being the choice of a "youth commission." The biggest concern would be that this
recommended choice may simply be the student who was able to win the popularity contest.
The city council should consider the recommended candidate but should also ensure that
the new appointee has the appropriate oral and written communication skills, as well as
the minimum necessary education that would provide a fundamental understanding of city
government and how a city operates. The city council should allow young people to apply
and interview for the position as they might for any other
position.

Explain the role of MNCs in developing countries.

I assume that you are referring to multi-national
corporations and I have tagged this question
accordingly...

The role of MNCs in developing countries is
rather controversial.  Some say that they benefit these countries while others say they
are detrimental.

The most common argument in favor of MNCs
is that they bring needed economic development to the countries.  MNCs come into
countries where there are few good jobs and they provide jobs at relatively good wages. 
This can help create more demand within the country and may lead to the creation of a
stronger local economy (since the MNC's workers can buy more goods and
services).

However, some say that MNCs only exploit
low-price labor and do not do any good to the country.  This school of thought says that
the MNCs pay the minimum possible wages and do not contribute at all to building a
stable economic base for the country.  There is also concern that the MNCs are too
important to the country's economy and can therefore exert a lot of control over the
country's government.

In Twelfth Night, why Orsino used Valentine & then Viola to convey his love to Olivia instead of courting her in person?

Illyria isn't called illyria for
nothing.  The people in this country all seem to be suffering from some kind of
love-sickness and they indulge themselves in this sickness.  None of them are being
honest to themselves let alone to anyone else.

Orsino
thinks he is in love with Olivia, perhaps because she is
unattainable since she is in love with the idea of being a martyr for her dead brother
and father.  Other characters like Toby, Sir Andrew, and Malevolio are likewise clueless
as to what love is.

It takes a castaway Viola disguised as
Ceasario to teach Orsino what love truly is.  Olivia falls in love with an image,
Viola/Caesario .  When she meets Sebastian, she has already fallen in love with him
physically.

There are a couple of reasons Orsino does not
go directly to Olivia but uses an emassary, first Valentine and then Caesario, is that
in that world a man did not directly court a woman but went through channels, so to
speak.  Secondly he respects the fact that she is in
mourning.

These are two practical reason.  Of course, from
a story telling point of view, it is necessary for Olivia to fall in love with Caesario
who as Viola is in love with Orsino.

Who is the persona and what is his attitude in the poem "This is the dark time, my love" by Martin Carter?

Martin Carter (1927-1997) was a poet  of mixed European,
East Indian, and African descent who lived in British Guyana, a country in S. America
that was a colony of Great Britain until 1966.  Many of his poems deal with themes of
politics, resistance, and protest against colonialism (see first link
below).

"This is the dark time, my love" fits into this
category of poem.

The narrator of the poem seems to be a
man who is addressing his "love"; whether this person is his lover or his child is
debatable.

The poem begins with a simple description
of nightfall:

readability="8">

This is the dark time, my love,
All
round the land brown beetles crawl about
The shining sun is hidden in the
sky.

The description quickly
turns to a metaphorical darkness of oppression and
misery:

Red
flowers bend their heads in awful sorrow
This is the dark time, my love,

It is the season of oppression, dark metal, and tears.
It is the
festival of guns, the carnival of
misery.

Based on the general
themes of Carter's poetry, and on his political activism, it can be safely assumed that
he is referring to the misery of colonial oppression.  This view is strengthened by the
reference near the end of the poem to "the stranger invader"--the British colonizers who
have invaded from a "strange," foreign land.

As its title
indicates, this is a "dark," pessimistic poem.  As the poem concludes, the "stranger
invader" is so powerful that he is "Watching you sleep and aiming at your
dream."

Discuss the moment of compassion and understanding that passed between Madame Aubain and Félicité in A Simple Heart.

The moment of compassion and understanding that emerges between
Madame Aubain and Felicite happens when both of them meet going in opposite directions on the
path of spirituality. Felicite had started to emerge on this path of spirituality and religious
faith in Christianity. Her learning in this developed as she helped Virginie learn her lessons
for her Confirmation. Something settled inside Felicite, and she became more fervently devoted to
religion and religious expression. To a large extent, it was this emergence in her own soul that
enabled her to take a form that was completely different than the world around her. When Virginie
dies, Madame Aubain is inconsolable. She slips into a world of despair. While Virginie is equally
distraught by Virginie's death, she approaches it with her spirituality as a guide for her,
proving to be one of the strongest tests of her faith up to this point. She keeps a vigil by the
body and prepares it for burial. While Madame Aubain cannot be reached by anyone, Felicite uses
her lessons of spirituality and religious identity to keep Madame Aubain from slipping into an
unreachable place.

It is a moment in time for both. Throughout the
text, Madame Aubain had been on a different plane than Felicite. As the narrative advances,
Felicite's true nature begins to emerge and she is able to not only weather the particular
challenges placed upon her, but also triumph over them with a specific grace and unique manner
all her own. The fact that Madame Aubain, someone who used to treat Felicite with coldness and
detachment, now can only be reached by her is highly significant. The embrace between them is a
moment where pain of this world and the love found in another mesh into one singular
instant:

It was the
first time in their lives, Mme. Aubain's nature not being expansive. Félicité was as grateful as
though she had received a favor, and cherished her mistress from that moment with the devotion of
an animal and a religious
worship.

This becomes the seminal
moment in their relationship. It also marks the point where Flaubert ascends in making Felicite
closer to a saint in that she becomes convinced that her belief in religion allowed her to become
closer to Madame Aubain and to place death in its proper context. From this point on, Felicite's
"joy" of life is expressed through religious zeal and spirituality. To this end, the moment
between both Madame Aubain and Felicite is the instant where this ascension
starts.

What does "sack" mean in "so that he'll fill the sacks along his backbone with air" in The Old Man and the Sea?The full sentence is "Now that it is...

The quote is in reference to the swim bladder of a fish. Bony
fish contain this important organ. A swim bladder is an organ that is usually a pair of
gas-filled sacs, used to maintain buoyancy in a fish. It can allow the fish to float higher in
the water or to sink lower in the water without having to expend a lot of energy due to swimming.
It works by filling with gas causing the density of the fish to decrease and allowing it to float
or to remove gas, making the fish more dense and causing it to sink. The swim bladder is located
near the backbone of the fish. In the Old Man and the Sea, the fisherman is hoping that if the
swim bladder fills with air, if it dies, it will die near the surface and not sink to the bottom
of the sea.

What are themes of "A Clean, Well,-Lighted Place" by Hemingway?

The most important theme in this story relates to
humankind's despair. It is an existential theme of Man against Nature, as existential
despair is the result of the nature of life, the nature of existence. Existentialism,
briefly, asserts the meaninglessness of life and the burden of having to create one's
own meaning. Existential despair relates to the hopelessness of succeeding with this
existential task to create individual meaningfulness.

In
this story, several characters develop this theme. A man--the deaf old man--with plenty
of every material provision, "He has plenty of money," feels such despair that he tries
to end his life. A soldier feels the shadow of such despair that he risks arrest to have
a few moments of carnal pleasure. The younger waiter feels encroaching despair that he
fights off by complaining and by trying to get home to bed to his wife:

I never get
to bed before three o'clock. ... He's lonely. ... I have a wife waiting in bed for
me.

The older waiter feels
the same despair as the deaf old man but he tries to mitigate it for himself and others
by providing "a clean, well-lighted place" for them to come to, to sit in the "shadow of
leaves" from the glow of the one electric light and maybe forget their despair for a
moment. The older waiter grapples with his own despair, which he will not name for
himself as he names the old man's despair, by keeping the cafe open late for others who
need light (metaphorical and physical light) and by talking about the nothingness of
existence (i.e., if life is nothingness, then emptiness belongs to life): "he knew it
all was nada." His sleeplessness he calls "insomnia."

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He would lie in the bed and finally, with
daylight, he would go to sleep. After all, he said to himself, it's probably only
insomnia. Many must have it.

A correlated theme explores
the value of carnal pleasure in an existentially meaningless life. This is a theme of
Human against Self and asks the question, "Can physical happiness fill the
meaninglessness and fend off despair?" The implied answer in the story, at least from
the older waiter's point of view, is that, no, it can't. He implies this when he says of
the old man, "He had a wife once too." In other words, he once had physical pleasure,
yet he is now in despair. On the other hand, the younger waiter's implied
counter-argument might be that the old man having had a wife, now has despair because
she is gone.

What does the wedding feast symbolize in the Great Expectations by Charles Dickens?

In Chapter XI of Great Expectations Pip
enters a room from which daylight has been excluded with "an airless smell that was oppressive."
In this room in which every object is covered with dust and mold, there stands a long table on
which a feast had been prepared before time has been halted by Miss Havisham. On this great table
lies the remnants of a wedding cake, a "bride-cake," now ravaged by mice and spiders. Around this
table Miss Havisham has Pip walk with her; they circle it several times as the "toadies" such as
Sarah Pocket tell her how well she looks.

This molded and ravaged
cake represents the past, the end of Miss Havisham's romantic dream of marriage. Along with the
stopped clock, and the curtained windows, the bride-cake and the decaying feast upon the table
symbolize Miss Havisham's joyous life that has ended, as well as her attempt to arrest the
passage of time which no longer has meaning for her. She tells Pip that when she dies, she will
be laid upon the table. For, since her life truly ended for her when the wedding feast was called
to a halt, she wants her body to rest where her dead soul has been for
years.

What thoughts are triggered in Ponyboy's mind when he saw Bob's picture in the yearbook?From the book The Outsiders.

Ponyboy had to spend a week in bed to recover from the night of
the rumble that ended in the deaths of both Johnny and Dallas Winston. He was so bored that he
spent some time thumbing through Sodapop's old yearbook. When he came across one picture, he
realized the face seemed familiar. It was Robert Sheldon--the Soc who Johnny had killed in the
park. Pony had never really thought of him as a real person before, only a brutal enemy who hated
greasers. Pony realized that he was good-looking with a "reckless grin." Pony thought of Johnny
and then Cherry, and he wondered what attributes Bob had that drew him to the Soc cheerleader.
Pony wondered if Bob had a "kid brother who idolized him." Or a big brother who "kept bugging
him," like Darry. Did Bob's parents love "him too much or too little?" Did Bob's parents hate him
for the part he played in Bob's death? (Pony claims to have preferred hatred over pity.) Above
all, Pony recognized that Bob was just another teen, "cocky and scared stiff at the same
time."

How is atmosphere portrayed through the character of Boo Radley in To Kill a Mockingbird?

At the beginning of the novel, Boo's character provides an
atmosphere of mystery and fear, especially for the children. Boo has not left his home since he
was a teenager, and gossip is consistently spread about him. Many of the adults of Maycomb have
not tried to stop the rumors about Boo, and some adults have even spread the rumors themselves.
Jem, Dill, and Scout spend their summer trying to lure Boo out of his house, and Scout stops
playing this game when she hears laughter from inside the house. The childrens' fear has been
fostered through the prejudice and ignorance of the same townspeople who want Tom Robinson
convicted of rape. As the novel progresses, Boo's true character begins to shine through, showing
him to be a gentle soul, just like Tom Robinson. If not for Boo, Jem and Scout would have been
killed by Bob Ewell.

Discuss the ways in which Edgar suffers the sins of his father and the ways in which Lear suffers the sins of his daughters in King Lear.

There is a definite sense in which both Lear and Edgar are
linked as characters in the play. Note how during the storm, Edgar ends up in the same shelter as
Lear and the Fool. He also appears to be mad, but through a calculated choice to protect himself
and to be overlooked. Of course, starting with Edgar, there is a sense in which he suffers for
the way in which his father is taken in by the plot of Edmund to disinherit his half-brother and
take his place in his father's affections. Gloucester's readiness to believe Edmund and to
disinherit his true son, Edgar, parallels Lear's willingness to do the same to Cordelia, his one
true daughter who he loves. Edgar therefore could be said to suffer for the sins of his father,
but Edgar, throughout the play, shows a resilience that ends up in his restoration as the heir of
his son and one of the few characters that survives. I personally would argue that Gloucester
suffers for his own sins more than his son does.

Again, your
statement concerning Lear is problematic. He does indeed suffer because of the sins of Regan and
Goneril because of their abuse of the power they have received from him, but I would argue that
this suffering stems from his own foolishness and the way that he has chosen to prize appearances
above reality. When we meet him we see that he wants the trappings of power and the ability to
enjoy himself without the responsibility and care for his subjects. It is highly telling
therefore that Lear says to his daughters "Which of you shall we say doth love us most" rather
than "Which of you doth love us most." Appearance is what Lear is after, not reality, and
appearance is certainly what he receives in the insincere protestations of love from Regan and
Goneril. In spite of his love for Cordelia, he is unable to see the reality in her words. Yes,
there is a sense in which Lear suffers because of the sins of his daughters, but I would argue he
actually suffers more because of his own sins.

Could you tell me about the historical figure of Martha Corey?

Martha Corey was tried as a witch after a group of girls
accused her of witchcraft in Salem, Massachussetts in 1692. This was a time of great
disorder for the little Puritan town because in the beginning of the year Abigail
Williams and Betty Parris, two girls living with the town's minister were said to have
begun displaying bizarre behaviors. They spent time with Tituba, their Carribean slave
who had confessed to spending time with the Devil.

The
girls continued to make accusations. Martha Corey, an upstanding member of the
congregation was early on their list of the accused. The girls pretended to be afflicted
by her and mocked her every move.

Today, many believe this
was indeed pretend. Several of the girls involved with Abigail and Betty came forth with
confessions of false accusations years later.

Hope that
helps a little bit!

Determine the x angle if 2sin^2x+sin(-x)-1=0

For the beginning, we remark that one term has as
argument the opposite variable, -x. Since the sine function is odd, we'll write the
term:

sin(-x) = - sin x

We'll
re-write the given expression:

2 (sin x)^2 - sin x - 1 =
0

We'll substitute sin x =
t.

We'll re-write the equation using the new variable
t:

2t^2 - t - 1 = 0

Since it
is a quadratic equation, we'll apply the quadratic
formula:

t1 = [1 + sqrt(1 +
8)]/4

t1 = (1+3)/4

t1 =
1

t2 = (1-3)/4

t2 =
-1/2

We'll put sin x = t1.

sin
x = 1

x = (-1)^k*arc sin 1 +
k*pi

x = (-1)^k*(pi/2)
+ k*pi

Now, we'll put sin x =
t2.

sin x = -1/2

x =
(-1)^k*arcsin(-1/2) +  k*pi

x = (-1)^(k+1)*arcsin(1/2)
+  k*pi

x = (-1)^(k+1)*(pi/6) +
k*pi

The solutions of the equation are:
{(-1)^k*(pi/2) + k*pi}U{(-1)^(k+1)*(pi/6) +
k*pi}.

What are good discussion questions for Shakespeare's Macbeth, Act I, scene iv? Thank You

Shakespeare's Macbeth provides a
great deal to discuss.

One discussion question might
be:

By their speech, what characteristics do the men
reporting Cawdor's execution believe the Thane showed which the men would have found
admirable, even though the man was a traitor?

Second
question:

What does...

readability="7">

"There's no art

To
find the mind's construction in the face" (I, iv,
12-13)...

mean, and why is
this comment ironic, based upon Macbeth's private thoughts in his "aside" (shown
below),

The
Prince of Cumberland! That is a step

On which I must fall
down, or else o'erleap,

For in my way it lies. Stars, hid
your fires;

Let not light see my black and deep desires...?
(I, iv, 48-51)

Next
question:

Explain the significance of Duncan's words to
Macbeth, as he returns from the battlefield:

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I have begun to plant thee, and will
labor

To make thee full of growing. (I, iv,
28-29)

Last
question:

Duncan makes a great to-do over Macbeth, heaping
extensive praise upon him as they return from battle, in lines 14-21, and again in lines
28-29.

Duncan also praises Banquo, but only briefly (lines
29-32).

Based upon what we know already of Macbeth and
Banquo, and what we learn of Macbeth by the end of the scene, which man is more
deserving of the King's praise? Support your response with specific examples from the
play.

[Make sure to check the line numbers provided here:
different versions of the play sometimes use different numbering of
lines.]

"I'm going to tell you" versus "I'm going to be telling you." What's the difference, please ?Please tell me the difference between "I'm going to...

This is a fun question. I'm not sure that I have an answer, but
I have some ideas of about how you might look for answers and what you might
find.

One way that you might explore (in a limited fashion, of
course) the real-world uses of these phrases is to perform an internet search for these exact
phrases. Put quotation marks around the phrase "I'm going to tell you" and search for examples.
Then do the same, again with quotation marks, for the second version of the
phrase.

The results are open to interpretation, of course, but
you'll see that "I'm going to tell you" is used much, much more frequently than "I'm going to be
telling you." You may also note that the second version ("I'm going to be telling you") seems to
be much more closely tied to instruction of one sort or another.

Of
course, you may also find that the differences aren’t all that clearly defined in the end. If you
perform an internet search using both exact phrases (in one search), you will find instances of a
single person using both phrases almost interchangeably and often side-by-side. See Sammiee’s
post (dated August 26, 2010) at http://www.animals-zone.com/cute-baby-animals/, which includes
the statement: “I’m going to be telling all my friends about this website because we all enjoy
looking at pictures of [baby animals]. I’m going to tell my family also! Thanks for this site!!”
Similarly, a blogger (http://candacethetaco.blogspot.com/) uses both phrases nearly side-by-side:
“So I guess by now you're thinking I'm going to tell you what the solution for these problems
are... I know I'm going to pay for this when I have kids one day, and that I'm going to be
telling my kids exactly what my parents are telling me…”

Real-world
examples can provide a useful window (however limited that window might be) into how the two
versions of the phrase might be similar or different.

Is Dickens more modern or Victorian in the way in which he paints his characters in A Tale of Two Cities?In contemporary literature it is often the...

In some ways, Dickens’s characters are stereotypical.  For
example, Lucie Manette is a stereotypical Victorian woman.  However the stereotypical characters
in Dickens books are not the focus.  In a Dickens book, the characters that are nuanced are the
ones that are important.  For example, Sydney Carton is a complex character.  He is contradictory
and evolves as the story progresses.  Darnay, by contrast, is mostly one-dimensional.  Dr.
Manette is rather complicated too, as he struggles to keep his severe psychological disfigurement
in check.  Imagine knowing that your daughter was going to marry a man whose family sent you to
prison for 18 years! 

It is easy to dismiss the Defarges as cartoon
villains, but that is not exactly the case.  They have suffered along with the peasants for
years.  Their unique position as proprietors of a wine shop allows them access to the upper
classes, but they see the lower classes scrounge daily.  Madame Defarge is not a stereotypical
Victorian woman in any sense!  She is strong, and although she may seem evil she is seeking
vengeance for her family and her people.

Don't dismiss this book as
Victorian soap opera!

Find f(x) if f'(x) = 2x^2 - 5x + 7 and f(0) = -3

Given f'(x) = 2x^2-5x-7 to find f(x), if  f(0) =
-3.

First we find the f(x).

Since f'(x)
is given, f(x) = Int f'(x) dx.

Therefore f(x) = Int (2x^2-5x+7)
dx.

f(x) = Int 2x^2dx - Int5xdx + Int 7
dx.

f(x) =  2 (1/3)x^3 - 5(1/2)x^2 +7x +Const , as Int Kx^n dx =
K(1/n+1)x^(n+1) , for all n except n = -1.

Therefore f(x) =
(2/3)x^3-(5/2)x^2+7x +C....(1)

Now we use the condition f(0) = -3 to
find C:

f(0) = (2/3)*0^3-(5/2)*0^2+7*0 +C =
-3.

Therefore C = -3.

So we rewrite 
f(x) in (1) replacing C by -3:

f(x) = (2/3)x^3-(5/2)x^2+7x
-3.

Could you please give me some historical references that depict the elements of: Liberty, fraternity, and Equality, during and after the...

I suppose the most marked example of "liberty, fraternity,
equality" would be in the Declaration of the Rights of Man and the Citizen which was drafted on
August 26, 1789. The Declaration was fashioned after the United States Declaration of
Independence and Constitution. It set out the basic freedoms and equal rights as well as equality
in lawmaking demanded by French citizens. This was in response to the system of government by
Estates whereby the First and Second Estate which was smaller in members could always outvote the
Third Estate, which had the largest membership due to it being the class of the middle class and
peasants. The Declaration allowed for any man to have right to take part in the legislative
process. There was nothing allowed specifically for women even though women were a major force in
bringing about the revolution. The women had some success but found themselves at odds with the
Jacobins which was established by Robespierre who later brought about the infamous "Reign of
Terror".

Even though many of the rights gained originally were lost
later, under Napoleon a new form of equality was established in the Napoleon's Civil Code. The
Code guaranteed equality under the law but heavily favored the wealthy. The workers and poor
found themselves without the previous rights to unionize but were given price regulation on bread
and flour.

Why was Tammany Hall involved in promoting baseball?

The term "Tammany Hall" is typically used to refer to the
political machine that ran New York City for much of the time between 1850 and 1950.  It
existed for longer than that, but that was the time in which it was most powerful.  The
organization went by a number of other names as well, but it is best known as Tammany
Hall.

Tammany Hall was a political machine that, for most
of its time in power, used its influence among immigrants (especially Irish immigrants)
to maintain its political power.  Put briefly, the machine used its control of city
government to provide help to immigrants.  In return, it expected the immigrants to vote
for its candidates.  It also used its power to more or less extort money from various
people--most especially those hoping to do business with or in the
city.

To do all of this stuff, the machine needed to be
involved in all sorts of social organizations.  If it could sponsor these sorts of
organizations, it would help make the people more dependent on and more loyal to the
organization.  Baseball clubs were one of the kinds of social organizations that Tammany
Hall set up to achieve these goals.  An observer of Tammany Hall once put the following
words in the mouth of a Tammany Hall worker:

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Another young feller gains a reputation as a
baseball player in a vacant lot. I bring him into our baseball dub. That fixes him.
You’ll find him workin’ for my ticket at the polls next election
day.

This quote can be found
in the marxists.org link.

How can interactive language arts build a relationship among reader, text and context?Elm/midd school

Interactive language is mainly based on kinesthetic
learning, auditive learning, and visual learning all combined. When you are able to
bring relevant and interactive activities that pertain to the interest of the student,
you immediately create a bond that is based on lowering the affective filter of the
student, and creating a safe environment. Once these two aspects of learning are under
control, the schema-building part of decoding and comprehending text comes almost
automatically because the student will be completely at ease with he new influx of
information, and with the new learning that is taking place. Therefore, the main
importance of interactive language arts in the teaching of reading and comprehension is
that it works as a strong security blanket in which the student can feel safe to learn,
make mistakes, and try again.

Calculate sin2a if sina+cosa=1/3

We have sin a + cos a = 1/3

Use the
fact that sin 2a = 2*(sin a)(cos a)

sin a + cos a =
1/3

square the right and left hand
sides

(sin a + cos a)^2 =
(1/3)^2

=> (sin a)^2 + (cos a)^2 + 2*(sin a)(cos a) =
1/9

(sin a)^2 + (cos a)^2 = 1

=>
1 + 2*(sin a)(cos a) = 1/9

=> 2*(sin a)(cos a) = 1/9 -
1

=> 2*(sin a)(cos a) =
-8/9

=> sin 2a =
-8/9

The required value of sin 2a =
-8/9

What is the expression to describe rising stock prices?

There are a couple of different terms that you could use to
describe this.

The term for a time when stock prices are rising is
"bull market." This is as opposed to a "bear market" in which stock prices
fall.

However, I see that you have tagged this with "Great
Depression" and so I assume that you are talking about that era. In the late 1920s, stock prices
were rising much faster than they ought to have. This can still be called a bull market, but we
also tend to use the term "bubble" in case like this. We say that there is a bubble in the stock
market when prices are rising more quickly than they ought to. The implication behind this term
is that the bubble will eventually pop (as it did in October 1929) and prices will then fall
severely.

So you can call rising prices a bull market (which does
not necessarily imply prices are rising too fast) or you can call the a bubble (which does imply
they are rising too fast).

What are the methods of restricting trade?

I would say that there are three general types of trade
barriers (methods of restricting trade between countries).  These are quotas, tariffs,
and regulations.

A quota is a law that limits the amount of
a certain good that can be imported into a country.  It says, for example, that only X
number of cars can be imported into the US in a given
year.

A tariff is a tax on imports.  This raises the price
of the imported good and makes it relatively more appealing to buy domestic
goods.

Regulations are rules about the imports themselves. 
They are not supposed to be made with the purpose of restricting trade, but they often
are.  An example of this would be South Korean rules about beef.  These are supposedly
meant to prevent mad cow disease but are mostly used for limiting imports of US beef. 
So these are rules that are ostensibly not about trade but they end up being used to
restrict trade.

In the story, "On the Sidewalk Bleeding," why did the cop say "a Royal" at the end of the story?

 Andy is the main character in this short story. His
member ship in the Royals, a street gang, has recently been the central focus of his
young life. He took pride in wearing the purple silk jacket and the message that it sent
to those who saw him wearing it: he was a Royal – tough, proud and invincible. When he
was stabbed in the alley, however, he desperately wanted to escape this gang symbol that
led to the attack. In his desperation, he removes the jacket and struggles with his
dying breath to push it away. Still, when the police officer sees a young man stabbed to
death in the street next to a purple silk Royals jacket, he immediately concludes that
the death is due to gang warfare. He never knew Andy personally, but he knows that
deaths such as this one are typical among those involved with gangs. The story suggests
that the case is then virtually closed and the investigation
over

Write the polar form of z=1+cosa+i*sina.

The complex number z can be represented by the plane polar
coordinates (r, a).

z = r(cos theta+ i*sin
theta)

We know, from enunciation, the original form of the
given complex 
number:

z=1+cosa+i*sina

Re(z)
= 1 + cos a

Im (z) = sin
a

We'll write 1 + cos a = 2 [cos
(a/2)]^2

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

We'll re-write z:

z = 2
[cos (a/2)]^2 + i*2 sin(a/2)*cos (a/2)

We'll factorize by
2cos (a/2):

z = 2cos (a/2)[cos (a/2)
+ sin(a/2)*i]

Now, we'll identify the polar coordinates r
and a:

r = 2cos (a/2)

theta =
arg (z) = (a/2)

The polar form of z
is:

z = 2cos (a/2)[cos (a/2)
+ sin(a/2)*i]

I am having an errectile problem, and it has been happening since August this year, and I need advice.

Sodra, I am going to assume your problem is that you
either can not get an erection or can not maintain one. Since you said this has been a
problem since August I would suggest you think about any changes in your life at that
time. Stress can be a cause of erectile dysfunction. Also have you started any new
medications, some medications will have side effects that make it more difficult to get
or maintain an erection. Some suggestions would be to also avoid alcoholic drinks,
nicotine and other non-prescription drugs. I would suggest that since this has been a
problem since August it is time to visit with your family physician about it. There are
prescription drugs that can help, also sometimes erectile dysfunction can be an
indicator of other health problems.

Find the first term of an a.p. if the sum of the first 10 terms is 150 and d =3.

We'll calculate the sum of the first 10 terms of an
arithmetic series using the formula:

S10 = (a1+a10)*10/2,
where a1 is the first term and a10 is the 10th term of the
sum.

We'll write the 10th term with respect to a1 and the
common difference d.

a10 = a1 +
(10-1)*d

a10 = a1 + 9*3

a10 =
a1 + 27

We'll substitute a10 and the value of S10 into the
formula of the sum:

150 = (a1 + a1 +
27)*5

150 = (2a1+27)*5

We'll
remove the brackets and we'll get:

150 = 10a1 +
135

We'll subtract both sides
135:

10a1 = 150 - 135

10a1 =
15

We'll divide by
10:

a1 =
1.5

The first term of the
arithemtic progression, whose sum is 150 and common difference is d = 3, is a1 =
1.5.

Which part of The Outsiders did the novel mention that Sandy got pregnant?

It is interesting, but nowhere in the novel The
Outsiders does S.E. Hinton say that Sandy is pregnant.  Instead, Hinton
suggests the idea and allows the reader to draw that conclusion himself.  On page 111 of
my copy, which is part of Chapter 7, Sodapop Curtis and his best friend, Steve Randle,
briefly discuss Sandy and what has become of his relationship with her while Ponyboy was
in hiding with Johnny Cade.

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Sodapop was staring at his feet, but his ears
were reddening.  "...She went to live with her grandmother in
Florida."

"Look," Steve said, surprisingly angry, "does he
have to draw you a picture?  It was either that or get married, and her parents almost
hit the roof at the idea of her marryin' a sixteen-year-old
kid."

Judging by the emotions
expressed by Soda, Sandy's forced exile was very difficult for him.  Earlier in the
book, he says that he will marry her when she graduates, and within a few sentences of
the discussion mentioned above, Ponyboy recalls Sandy's eyes lighting up when she looked
at Sodapop.

How is an international marketing plan different from a domestic marketing plan?

The basic difference here is that a firm must make its
international marketing plan starting from a position of ignorance.  When a firm makes a
domestic marketing plan, it typically already knows a great deal about the factors that
will influence its plan.  It knows what sort of methods it can use to market its
product, for example, and it knows what sorts of customers it is trying to
reach.

By contrast, a firm entering into a new foreign
market needs to gain an understanding of these and other questions.  It must, therefore,
ask very basic questions about itself -- it has to ask what its goals are and what kind
of a firm it is, for example.  It also has to discover answers to the questions
mentioned above.

So an international marketing plan differs
from a domestic one in that it has to start much more from the "ground up" because the
firm has little knowledge of the new market.

Besides Sonny's conflict with himself (overcoming drug addiction), what other conflicts are present in "Sonny's Blues?" What is their...

Other conflicts in "Sonny's Blues" exist between Sonny and
his brother, the narrator.

The narrator expects that Sonny
will settle down and get a job, but Sonny has no wish for a regular job. Music is what
touches him. This causes a disagreement between the two. Sonny also wants to join the
army, which makes his brother angry. Sonny is looking for ways to follow his dream and
the army will provide this, but the narrator is worried about Sonny, wanting him to come
home from the army alive and well, and wanting him to settle down—especially as the
narrator had promised their mother to take care of
Sonny.

Sonny spends time living with Isabel and her family
while the narrator is in the army. There is conflict here because Sonny plays the piano
all the time and it disrupts the family's life. This shows how music is so important to
Sonny, but how difficult it is for others to appreciate his
dream.

Sonny's drug use is not just a conflict for Sonny,
but it causes a great deal of concern for his brother, not just in terms of his health,
but ultimately in terms of his stay in prison, and his fear that Sonny will never be
able to kick his heroin addiction. This also reflects the narrator's fear that Sonny's
life will be lost if not literally, then figuratively.

The
narrator experiences inner conflict in worrying about his brother. Sonny is no longer a
child, yet the narrator feels responsible for his brother's welfare. He is also at a
loss to know what to do for Sonny because he can't understand Sonny's passion for music
and dependence on drugs, though toward the end of the story, the brothers seem to make
some headway in communicating their feelings about these two
things.

Decopose in simply fractions. 2/2x(6x+4)

We'll have to get 2 irreducible fractions because of the 2
factors from denominator.

2/2x(6x+4) = 1/x(6x+4)

The final ratio
1/x(6x+4) is the result of addition or subtraction of 2 elementary fractions, as it
follows:

1/x(6x+4) = A/x + B/(6x+4)
(1)

We'll multiply by x(6x+4) both
sides:

1 = A(6x+4) + Bx

We'll remove
the brackets:

1 = 6Ax + 4A + Bx

We'll
factorize by x to the right side:

1 = x(6A+B) +
4A

Comparing both sides, we'll
get:

6A+B = 0

4A = 1 => A =
1/4

6/4 + B = 0

B =
-3/2

We'll substitute A and B into the expression (1) and we'll get
the algebraic sum of 2 elementary
fractions:

2/2x(6x+4) = 1/x(6x+4) = 1/4x - 3/2(6x +
4)

In Hamlet, what is the attitude of the court towards Hamlet in Act 2 Scene 2?

Some significant amount of time has passed between the end
of Act 1 and the start of Act 2, because by the start of Act 2 everyone seems very
concerned about Hamlet's lunacy.  Hamlet must have been putting his "antic disposition
on" for enough time to cause alarm amoungst the members of the court -- specifically
Claudius, Gertrude, Polonius and Ophelia. 

Claudius and
Gertrude have called Hamlet's childhood friends back from school (presumably Wittenberg)
to try to find out what is wrong with Hamlet and to try to distract him and restore him
to his normal nature.  Gertrude specifically instructs them to "visit my too much
changed son."  Claudius asks them to "draw him on to pleasures, and to gather so much as
from occasion you may glean" about what afflicts Hamlet
now.

Polonius enters the scene claiming to know the cause
of Hamlet's changed behavior.  Based on a report from Ophelia, Polonius thinks that it
is the loss of Ophelia's love that has pushed Hamlet over the edge of sanity.  He has,
as evidence of this theory, a poorly written love poem that Hamlet sent to
Ophelia.

Once Hamlet enters the scene, his behavior is
troubling.  He 'mistakes' Polonius for a fishmonger; he talks about kissing carrion; he
talks nonsense about old people.  Polonius doesn't know what to make of any of this, but
does remark that "though this be madness, yet there is method
in't."

Rosencrantz and Guildenstern make very little
headway in discovering the true cause of Hamlet's lunacy.  They suggest to Hamlet that
perhaps he is crazy because his ambitions to the throne were thwarted, but Hamlet
doesn't buy into that and he leaves Ros and Guil as bewildered as they were when they
started -- even though Hamlet tells them "I am but mad north-northwest; when the wind is
southerly I know a hawk from a handsaw."  They don't have any idea what that
means!

Everyone Hamlet has contact with is worried about
him and questions why Hamlet is such a changed person, but no one has a good answer.  It
would seem that Hamlet's crazy act is working pretty well to this
point.

What are the different plots and sub-plots in The Merchant Of Venice?

This is a great question because it identifies the
different plot strands that make up this amazing play. The first of the two central
plots are Bassanio's quest to gain Portia in Belmont and his success in picking the
correct casket and thus gaining her hand. The second central plot, obviously linked to
the first, is the loan that Antonio is forced to take out against the ships he eagerly
awaits to furnish Bassanio, his former lover (though this is debateable), with the money
that he needs to enter Belmont and win Portia's hand. This of course puts him in
conflict with Shylock and ends him up in front of a court with a bloodthirsty Shylock
ready to shed his blood.

The two sub-plots concern
Jessica's elopement with Lorenzo and their removal to Belmont and also Launcelot's
decision to leave the employment of Shylock and join his new master, Bassanio. Of
course, it is important to identify how the sub-plots link in with the main plots - for
example, how Jessica's desertion and robbery of her father's money is used to goad
Shylock on to gain his revenge.

Examine the plot of Bridge to Terabithia by Katherine Paterson.

The novel is based on events which happened to the author's son,
David, and the loss of a close childhood friend. The two main characters, leslie and Jesse, both
face the challenges of being outsiders in the cruel world of middle
school.

The plot deals with bullying, change, loss and hope. Leslie
moves to Lark Creek Elementary School and is immediately different with her unconventional dress,
wild imagination and inner strength. Jesse is at first angered then captivated by this free
spirit and they create an imaginary world - Teribithia - together. Here they develop the
strategies for dealing with the challenges of everyday life. Jesse is liberated from the fear of
his father's rejection of his creative skill and learns that self-expression is a powerful force.
After the sudden death of Leslie, Jess learns how their experiences in Teribithia can help him
move forward and express himself to his family and those around him.

Can anyone tell me how to compare and contrast the poem Sympathy and The Haunted Oak by Paul Laurence Dunbar?

In order to compare and contrast works by either the same
author, or different authors, the easiest thing to do is look at the imagery, symbolism and
themes.

Overall, both "Sympathy" and "The Haunted Oak" use elements
of nature as a portal to explain something more. Therefore, one could focus upon how nature is
regarded in order to compare and contrast the poems.

Another point
to examine within the poems would be the idea of solitude and imprisonment. Both poems speak to
the fact that the subjects, a bird and a tree, are alone.

One last
point to make when comparing and contrasting poems is the message the author is trying to get
across to the reader. What is the author saying in each of the poems? Is the reflection the
author is offering similar? If so, how? Is the message different? Again, if so,
how?

Basically, when comparing and contrasting anything, the purpose
of the text is to examine how the texts are the same and how they are
different.

Describe Hanneh Hayyeh in terms of her appearance and her actions?"The Lost Beautifulness" by Anzia Yezierska

Hanneh is a small, hard-working woman. She is described as
a "hungry-eyed ghetto woman." Her hands are gnarled, rough and calloused from doing
laundry for the rich, and recently from painting her kitchen. However, Joy radiates from
her face as she looks at the kitchen she has painted for her son's return from the armed
service. Yezierska writes that Hanneh has a "seething soul." She is energetic and
forceful in her manner: she drags her husband in and her neighbors, so they can see the
beautiful room. She is passionate about her son, beauty in the world, and the desire to
enjoy democracy as Mrs. Preston has described it to
her.

After the landlord demands more money for rent because
of the increased value of the apartment, two months pass as Hanneh struggles to get by.
She stops eating as much to save money. She appears "wasted and haggard." Then the
landlord demands even more money, raising the rent now
twice.

Hanneh, with her passion and burning desire to see
justice done, goes to court to answer the landlord's legal demand that she be evicted
from the apartment. She plans to fight to stop him from doing this unethical thing—is it
right that she has done all this work for the sake of beauty, and that he is allowed to
raise the rent, which they cannot pay, and throw them out to get tenants who can pay the
increased rent? Though she is bent from the burden of her heartache, her determination
and purpose are still strong.

However, the law supports her
landlord and she returns home "hopeless and dead." The court has ruled against her and
supported her landlord's claim. The butcher cannot believe this: to him, Hanneh is a
woman with "her fire in her mouth." If she cannot be heard, does any one of them have a
chance?

Hanneh is without hope: the only thing she still
has is the vision of her beautiful kitchen.

In anger the
butcher suggests that if he were in her place and he was forced to give up the
apartment, he would not leave the beautiful kitchen in tact.  He would destroy the
beauty so the landlord could not profit from it even as he evicts
Hanneh.

When Hanneh does as the butcher suggests, she finds
afterward that more than hurting her landlord, she has nearly killed the heart in her.
Desolation descends over her as she looks at the beautiful thing she had created that
she has now destroyed—it seems to have a life of its own: though she has tried to
destroy it, it lives on as something "killed" that will not die. She feels "it was her
own soul she had killed."

As her appearance has
deteriorated, as has the beauty she had created in her life and home, Hanneh has lost
her ability to feel alive. At the end, Hanneh's son finds
her:

on the
sidewalk before their house was a heap of household things that seemed familiar and
there on the curbstone a woman huddled, cowering, broken.  Good God
his mother! His own mother  and all their worldly belongings dumped there in the
rain.

What are some significant lines in Chapters 17 through 21 in the novel The Grapes of Wrath?

Some significant lines in John Steinbeck's The
Grapes of Wrath, found in Chapters 17 through 21, are included
below.

Ma senses that her family is falling apart as the
story progresses; a significant piece of writing is found in Chapter
18.

The woman
leaned down over Granma's face, and she seemed almost to sniff. Then she turned to Ma
and nodded quickly, her lips jiggled and her jowls quivered. "A dear soul gonna join her
Jesus," she said.

Ma cried, "That ain't
so!"

Ma is struck
considerably hard when one of their number leaves or passes. She does not want to
believe that Granma might be leaving them, though in time, this does happen
again.

Later in Chapter 18, facing loss is again
expressed:

readability="21">

Sairy lay on the mattress, her eyes wide and
bright...Her low, beautiful voice went on, 'I wanted us to go, I knowed I wouldn' live
to the other side, but he'd be acrost anyways...He don't know. He thinks it's gonna be
all right...I ast you to come to say a prayer.'

'I ain't a
preacher,' he said softly.

'I want you should say [a
prayer] for me.'

'Maybe you'll res' a few days and'  then
come on.'

She shook her head slowly from side to side. 'I'm
jus' pain covered with
skin...'

Sairy knows that she
is dying of cancer, but she has told no one, not even her
husband.

Another plight the migrant farmers face is
presented again in Chapter 19.

readability="12">

Three hundred thousand in California and more
coming. And in California the roads full of frantic people running like ants to pull, to
push, to lift, to work. For every manload to lift, five pairs of arms extended to lift
it; for every stomatchful of food available, five mouths
open.

Here, again, the reader
is struck with an image of the hundred and thousands of people flowing in from the
Midwest, vying for jobs. There are only so many jobs, and so many more people in need
than jobs available to them.  Getting work does not simply infer that people want a job,
but that the work is all that stands between the people and the starvation of their
families.

The numbers x , y , z and w have an average equal to 25. The average of x , y and z is equal to 27. Find w.

Given that the average of (x , y, z and w ) =
25

Then we know that the average = sum of all numbers/ total of
numbers

==> Ave = (x + y + z+w)/4 =
25

==> multiply by 4:

==>
x + y + z + w = 100...........(1)

Also , given the
average of x , y and z is 27

==> Ave = (x+ y+ z) /3 =
27

Multiply by 3:

==> (x+ y+ z)
= 81 ............(2)

We will substitute (2) in
(1):

==> (x + y + z ) + w =
100

==> 81  + w = 100

Now
subtract 81 from both sides:

==> w = 100 -
81

==> w =
19

Explain the first thing Pip does with his money after he learns that he will have an annual income of five hundred pounds.Great Expectations by...

Because Pip feels responsible for having brought Herbert into
debt with him, and because Herbert is a dear friend, Pip uses his five hundred pounds to procure
Herbert a position from "a worthy young merchant or shipping broker" who is not long established
and is in need of a knowledgeable clerk and well as capital.

readability="11">

Between him and me, secret articles were signed of which
Herbert was the subject, and I paid him half of my five hundred pounds down, and engaged for
sundry other payments: some, to fall due at certain dates out of my income: some contingent on my
coming into my property.

Wemmick's
fiancee, Miss Skiffins, has her brother conduct the negotiation, with Wemmick quietly in the
background. Pip hopes that when he comes into some property, he can use part of that to further
help Herbert in his endeavors. However, after Magwitch is revealed as his benefactor, but he
dies, Pip finds that he must turn to Miss Havisham to "spare the money to do my friend Herbert a
lasting service in life."

Discuss how Elwood Dowd is a character of force in Harvey.

Elwood can be seen as a character of force in a variety of ways.
One such way is that Elwood does not change. The others around him might change, such as Veta,
but he does not change. His force of will is so strong that he remains as committed as ever to
how he lives his life. Elwood's sister recognizes the need for him to not be "cured," and she
changes, but he remains who he was. Another way he is a character of force is because he refuses
to take the form of the world around him, causing a certain amount of change within other
individuals who come into contact with him. The cab driver, Lofgren, and Dr. Chumley would be
examples of this. At the outset of their interactions, they see Elwood one way, but over time,
their view of him changes precisely because Elwood is so different from the people in their
worlds. This is another example of the force that Elwood possesses.

Macduff tells Malcolm of the terrible situation in Scotland. What is learned of the situation in ACT 4, SCENE 3 of Macbeth?

There are two situations discussed in Act IV, scene iii --
the public and private.  The private situation discussed is the murder of Macduff's
family because of the charge of treason that Macbeth has laid upon Macduff's head.  To
which charge, Macduff says simply, "I am not treacherous."  And Malcolm answers, "But
Macbeth is."

This leads to the discussion between the two
about the public situation, a situation totally controlled by Macbeth.  The two lament
the state of affairs in Scotland, recognizing that the murder of Macduff's family might
well be the straw that breaks the camel's back, not just because it is a heinous crime
against Macduff and his wife and child, but because it is the act of a tyrant.  Macduff
says:

Bleed,
bleed, poor country!

Great tyranny, lay thou thy basis
sure,

For goodness dare not check thee.  Wear thou thy
wrongs,

The title is affeer'd!  Fare thee well,
lord,

I would not be the villain that thou
think'st

For the whole space that's in the tyrant's grasp.
. .

Malcolm
agrees:

I
think our country sinks beneath the yoke:

It weeps, it
bleeds.  And each new day a gash

Is added to her wounds. .
. .

When I shall tread upon the tyrant's
head,

Or wear it on my sword, yet my poor
country

Shall have more vices than it had
before,

More suffer and more sundry ways than
ever,

By him that shall
succeed.

And it is Malcolm
who will succeed Macbeth.  The conversation of this scene finally bends towards this. 
And though, Malcolm pleads a modest inadequacy to assuming the throne of Scotland, by
the end of the scene, Malcolm and Macduff have agreed to ally with England to win back
their Scotland from the tyrannical hold of Macbeth.

What are some quotes from Macbeth that represent his misfortune is not wholly deserved?(For example, ones that make the audience leave with a sad...

Macbeth is a character with a conscious and knows what
will happen if he goes over to the dark side.  Knowledge of this is one thing but the
experience is somethng else entirely.

In Act 5, scene 5,
Seyton informs Macbeth of the death of his wife.  Macbeth's response, the "Tomorrow"
speech, is perhaps the best example.

As a human being,
Macbeth has sunk as far as any human being can go.  The killing of the defenseless king
seemed to whet his appetite for blood.  Banquo's death was easier since he sent assasins
as he also did with Macduff's wife and children.

In the
"Tomorrow" speech, he realizes the futility of it all.  The final result is it was all
for nothing.

Do I feel he doesn't deserve what he gets? 
No, he does derseve it.  He makes the decisions that lead to his downfall of his own
free will.  He knew what would happen to him.  "Blood will have blood, they
say."

How do wastes exit a squid?

Squids and other mollusks have a complex digestive system.
In their mouth, there is a rough tongue called the radula that many mollusks possess, as
well as a horny beak composed of chitin. This beak can shred their prey into manageable
pieces to aid in the digestive process. Digestive organs can be found in the visceral
mass.  Food that they ingest is processed in the stomach, which is part of their
digestive system. It then goes to their caecum where further digestion takes place. Food
then travels to their liver for further processing and absorption so that their cells
will be able to use the nutrients. At the end of this digestive tract is a rectum. Here,
the foods that they were unable to digest, become the solid waste which is then egested
from the body.

Who are the minor characters in "Trifles" by Susan Glaspell, and what is their role in the play?

In Susan Glaspell's play titled, "Trifles," the minor roles are
those of the men. This would include the County Attorney, the Sheriff, and Mr. Hale. Though minor
characters, their roles are important for several reasons.

The men
create the depth of the conflict in the story. Although we never meet Mrs. Wright, who has been
accused of killing her husband as he slept, the men arrive at her home looking for evidence with
which to convict her. In this case, the men are present for the simple purpose of feeding the
plot. And as the story progresses forward, the women come to resent what the men are trying to
do.

The men are also present in that they are the ones that set the
mood of the story in terms of the sense of "trifles." Mr. Hale refers to the serious concerns of
the housewife as "trifles," meaning trivial, unimportant
things.

COUNTY
ATTORNEY. I guess before we're through she may have something more serious than preserves to
worry about.

HALE. Well, women are used to worrying over
trifles.

Others of them are critical
that the house is not very clean...

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COUNTY ATTORNEY (with the gallantry of a young
politician). And yet, for all their worries, what would we do without the ladies?
(...Starts to wipe [his hands] on the roller towel, turns it for a cleaner
place.) Dirty towels!...Not much of a housekeeper, would you say,
ladies?

MRS. HALE (stiffly). There's a great
deal of work to be done on a farm.

and
not nicely decorated...

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COUNTY ATTORNEY. No--it's not cheerful. I shouldn't say
she had the homemaking instinct.

MRS. HALE. Well, I don't know as
Wright had, either.

The men also joke
about the quilt Mrs. Wright is making, as if they would know anything about it. In fact, Mrs.
Peters and Mrs. Hale become defensive and angry at the men for their lack of understanding and
their overall insensitivity to the plight of the common housewife, which is what
they are.

This is the third most important
reason the men are present: they bring to light for Mrs. Hale and Mrs. Peters, and for the
audience, how difficult it is for a woman to run a house and make it a home. It shows that men
have a great deal to say about things they know nothing about, and appear to have little
appreciation for the work that women do that benefits them the
most.

By the end of the play, there is a new sense of solidarity
between the women, and a desire to help Mrs. Wright in any way they can, not just by taking some
of her things to the jail, but also by preventing the men from finding any more evidence that
might convict her.

When Scout is on Boo's porch, what does she recall from To Kill a Mockingbird?

Scout looks back on the eventful two years that encompasses
To Kill a Mockingbird--two years in which she has grown up considerably and
learned many things about herself and the little world around her. From Boo's porch, she sees her
neighborhood in a different light--both literally and metaphorically. She returns to her younger
days, when the neighborhood is a happy and uncomplicated place, where she--now, standing in Boo's
skin and seeing through Boo's eyes--pictures Atticus returning from work and she and Jem running
to meet him. She pictures Jem and Dill playing their fantasy games about Boo. She sees herself
and Jem playing (and fighting) in front of Mrs. Dubose's house. She sees herself stopping at the
oak tree which once housed the secret knothole. She sees Miss Maudie's house afire, and a mad dog
shot in the street. Now, they are Boo's children that she sees, and Boo's neighbors. At last, she
understand's Atticus's message that one needs to step into another person's shoes to see things
from their perspective.

What are some quotations/textual proof that Estella is a static character?I annoyingly have way to much evidence showing she is a dynamic character.

I think you are right about that static situation. To be a
static character means that one does not change. Estella does not change throughout the
story in a few ways and these can be proven by pulling quotes from a variety of
places.

First off, Estella happily torments Pip...
throughout life. In the early chapters (8-10ish) she torments him for calling jacks
knaves and for his work boots. It is as if she knows Pip has a crush but will not under
any circumstance be kind. In chapter 44, she is bent on marrying Bentley Drummle and
when Pip tries to scold her for it, she knows she really has no love for him but just
the desire to wreak havoc on men. Thus, her goal is achieved in two ways. First, Pip
can't have her. Second, Drummle will live in a loveless marriage. Try the last 2 pages
of 44 for quotes. In chapter 58, when the two meet up again, she is still at the very
least cold to Pip. She discusses the place with him, insists in the end they will
continue as friends apart. Using that language must drive
the dagger of torment deeper and deeper into Pip.

Estella's
beauty never fades. She relies on this beauty. You can see her unchanged beauty in
chapter 58:

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"[Her beauty's] indescribable majesty and its
indescribable charm
remained."

Many say that
beauty is only skin deep, but with Estella is it really? Is there something in it and
her upbringing that make her contantly intollerable of the opposite
gender?

Discuss how death contributes to the overall tragic vision of the work as a whole in Oedipus the King.

There are some specific actions that key characters take
regarding death that have a huge effect on the fulfillment of the Oracle's prediction
that Oedipus would "kill his father and marry his
mother."

First Jocasta confesses that she has beaten the
Oracle at it's own game by taking a child that she had and ordering a shepherd to
abandon it and leave it to die.  In this way, she would avoid the prediction by taking
matters (and Fate) into her own hands -- if it had
worked.

When Oedipus heard the prophecy that he would kill
his father and marry his mother, he left his home with his "father" Lepidus, and
travelled to escape this prediction.  He met a man on the road as stubborn as himself,
and when neither would move aside to let the other pass on the narrow road, he, in a
rage, killed this man and went on his way.

Of course, it is
discovered later that Jocasta's baby was saved by the same shepherd she gave it to, when
he gave the child to a shepherd from Lepidus' land, who, in turn, gave the child to
Lepidus' wife, who longed for a baby.  It is also discovered that the man that Oedipus
killed was Laius, Jocasta's husband and Oedipus'
father.

When the facts of these deaths and escaped deaths
are revealed, it is clear that the oracle, despite the maneuvers of the humans in the
play, has indeed come true.  So, death can be seen in the play as a fact of Fate,
something ordained by the gods that, try as one human might, cannot be outwitted.  This
could definitely be seen as one part of the sobering and tragic vision of the
play.

If log x^3- log 10x = log 10^5 find x

We'll impose costraints of existence of
logarithms:

x^3>0 =>
x>0

10x>0 =>
x>0

We'll solve the equation adding log 10x both
sides:

log x^3 = log 10x + log
10^5

We'll apply the product rule of
logarithms:

log x^3 = log
x*10^6

Since the bases are matching, we'll apply one to one
rule:

x^3 = x*10^6

We'll
subtract 10^6x both sides:

x^3 - 10^6*x =
0

We'll factorize by x:

x(x^2
- 10^6) = 0

We'll set each factor as
zero:

x = 0

We'll reject this
answer since x>0.

x^2 - 10^6 =
0

We'll re-write the difference of
squares:

(x - 1000)(x + 1000) =
0

We'll set each factor as
zero;

x - 1000 = 0

x =
1000

x + 1000 = 0

x =
-1000

Since this answer is negative, we'll reject it,
too.

The only valid solution of the equation
is x = 1000.

In the beginning of To Kill a Mockingbird, who gives Scout and Jem the idea of making Boo Radley come out?

Simply put, Dill gives them the idea. After the kids meet
Dill and summer seems to begin running its course, the kids find many things to do. They
re-enact scenes from their favorite stories, they play in the treehouse, and they have a
great time. But as with all children, summer gets boring after a while. Then, the need
for a new adventure arises. The kids began discussing all of the neighborhood legend
associated with Boo Radley, this perked Dill's great
interest:

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“Let’s try to make him come out,” said Dill. “I’d
like to see what he looks like.” Jem said if Dill wanted to get himself killed, all he
had to do was go up and knock on the front door.
(13)

 Since Jem never
declined a dare, this was one that Jem mused over for three days, but he eventually did
go touch the house.

I don't really understand this statements. Can you state this with your own words to make easier to understand?No universal is a particular...

What William of Ockham is saying here is that only individuals
exist.  There is no concept that exists that is made up of more than one individual.  Ockham,
unlike Plato, for example, does not believe in the existence of "forms" that include multiple
individuals.  Just before the passage you quote, he says that there is no "universal" thing that
exists "outside the mind."  This is what he is trying to say in this
passage.

To paraphrase him:

You can't
have a universal concept that is made up of lots of different individuals.  You can't, for
example, have a whole lot of things, all of which are called Socrates.  Socrates was just one
man.  That is why there is no particular (individual) thing that is also universal (made up of
many things).

What did Silas do for Sally Oates in Silas Marner?

On Chapter II, Part 1 we find the character of Sally
Oates, a  cobbler's wife, who was sitting by the fire suffering from symptoms of "heart
disease and dropsy" which reminded him of the symptoms his own mother experienced prior
to dying. Silas remembered that a certain concoction made of "foxglove" which is
referred to as "the stuff".

Silas remembered that such
concoction made his mother believe that she was getting better, and (in order to ease
Sally's pain), he brought her some of "the stuff" and held a high esteem in Sally's eyes
since it did the same effect on Sally as it did with Silas's mother. The only condition
was that the woman could not tell the local doctor about what Silas was doing because
(as expected) the doctor did not agree with those local cures that play with the psyche
of others.