Is cutting of vegetables a physical or a chemical change?It is permanent so should be chemical but no chemical reaction is taking place so it must...

The distinction between chemical and physical change is
not based on whether the change is reversible. Bot physical change can be reversible to
varying degree. Stretching of a rubber band as well as a chewing gum, are both physical
change. However stretching of rubber band is easily reversible process, while that of
chewing gum is not. Similarly, Iron is made by reduction of oxides of iron in the form
of iron ores. This is a chemical change. However this iron again turns to iron oxide in
the process of rusting. In contrast it is very difficult to reverse the chemical change
of oxygen and hydrogen combining to form water.

An
essential requirement of any chemical change is that it results in molecular composition
of the substances subject to change. Such change in the molecular composition also
results in at least some change in chemical properties. In a physical change there ins
no change in molecular composition, or in any chemical
properties.

Cutting of a vegetables only changes the shape
of the substances of which the vegetable is made. But the chemical property of the
substance in whole vegetable remains same as the chemical property of the substances in
each of the cut piece of vegetable. Therefor, cutting of vegetable is a physical
change.

Describe the conflict please.

The conflict of the plot may be variously described:
punishment versus forgiveness, anger versus toleration, rigidity versus understanding,
or the letter of the law versus the spirit of the law. The complication begins
simultaneously with the exposition, for we learn right from the beginning that the
narrator has been subjected to "troubles" and pressures at home. One might make a case
that the story presents a series of mounting crises—namely the family squabble, the fear
of hell as described by Mrs. Ryan, the narrator’s hesitancy to go to confession, and the
farcical actions in the church. The climax is the confession itself, which sets all the
narrator’s apprehensions aside, and the dénouement is a genuine exodos, in which the
narrator and his sister walk away from the church toward home.

In The Road, what are three possible interpretations of the father's act of firing the flare into the sky?

Great question! Of course, when we think about the
symbolic meanings of acts like the one you referred to, it is often not spelled out
directly in the text, but there is enough evidence to infer the meaning. Certainly one
meaning is given for us when the father shows the flare gun to his sun and says they
will fire it:

readability="5">

We can shoot it.

For
real?

Sure.

In the
dark?

Yes. In the dark.

It
could be like a
celebration.

The boy himself
labels the act of firing the gun with a celebration, presumably to celebrate their safe
arrival at the coast.

The actual description of the firing
of the flare gun leads me to think that it is also symbolic of
hope:

The
flare arced up into the murk with a long whoosh and broke somewhere out over the water
in a clouded light and hung there. The hot tendrils of magnesium drifted slowly down the
dark and the pale foreshore tide started in the glare and slowly
faded.

The flare managed to
penetrate the "murk" of the sky, symbolic of the state of the world, and still gives
light. This to me is symbolic of the hope that the boy has that there is a chance of
survival and there are some "good guys" out there to help
him.

Lastly, the firing of the flare gun could be said to
represent a memory of what times were like before and the limitations of humanity.
Interestingly, after seeing the flare, the boy says:

readability="7">

They couldn't see it very far, could they,
Papa?

This could be read as a
recognition of the limitations of humanity and how they created the mess that the boy
and the father are trying to survive in.

What was the Europeans first impression of the Native Americans?

The impressions that Europeans had of the Native Americans
in what is now the United States were, of course, rather varied.  Different Europeans
had different opinions, as you might expect.  The National Humanities Center link has a
pdf with lots of accounts of what Europeans thought -- follow it to see some of
them.

In general, there tended to be two schools of
thought.  Some Europeans thought that the Native Americans were "noble savages."  They
thought the Native Americans were sort of pure and unspoiled and closer to how people
should be than the civilized Europeans were.  Others, however, had very negative views
of the Indians.  They saw them as pagan savages who were very
dangerous.

So there were many different reactions by
Europeans to the Native Americans.

Is the description of Gandhi as the "Father of the Indian nation" an appropriate one?Consider his role in and contribution to shaping Indian...

If one considers this epithet "Father of the Indian
Nation" as the one person who was most effective in creating the modern independent
nation of India, who else can this person be but Muhandas Mathama Gandhi?  For, Gandhi
struggled to unite all classes and castes, campaigning for the emancipation of the
"untouchables," and he worked to unite the Hindus and Muslims and Christians of
India. With nonviolent protest and civil disobedience,
satyagraha, Gandhi worked long and hard against the forces of
imperialistic rule of Great Britain until August, 1947, when the Indian Independence Act
was invoked and 12.5 million people in the British Indian Empire were
displaced.

Gandhi dedicated his life to his people and to
truth.  He wrote,

When I despair, I remember that
all through history the way of truth and love has always
won.

What is the increasing linear function if f(f(x))=4x+3 ?

What is the increasing linear function if
f(f(x))=4x+3

f(f(x)) =
4x+3.

We assume that f(x) is a linear function of the form
ax+b.

f(f(x)) =
a*f(x)+b.

f(f(x)) = a(ax+b)
+b.

=> f((x)) =
a^2x+ab+b...(1)

Also given f(f(x) =
4x+3...(2_

Therefore from (1) and
(2):

 a^2x+ab+b =
4x+3.

Equating like terms: a^2x+4x. So a^2 = 4, a = sqr4 =
2. Or a = -sqrt4 = -2.

Also  ab+b =
3.

When a = 2,  ab+b = 3 gives 2b+b = 3. So 3b=3, or b=
1.

When a= -2, ab+b = 3 gives -2b+b = 3, -b = 3, or b =
-3.

So f(x) ax+b = 2x+1, or f(x) =
-2x-3.

Therefore f(x) 2x+1 is the increasing function as
f'(x) = (2x+1)' = 2 > 0.

In what ways are hatred and love "the same thing at bottom"?Hopefully chapter 24 explains this! I could really use your help! thank you:)

You probably have heard it said, or read, that hate is not
really the opposite of love in reality because they are both founded on very strong
emotions. In this way, they are related because they are both passionate. The true
opposite of love or hate would be indifference, because in this case, there is no strong
emotion. So hate is negative and love is positive, but they both have strong emotion at
the core. Indifference does not have strong emotion at its
core.

In this novel, Hawthorne explores this concept. By
the end of the novel, Hester's scarlet letter "A" has taken on an entirely new
significance. Whereas it was a symbol of sin and shame, it almost becomes a "red badge
of courage" at the end of the novel. In the two characters affected by the scarlet
letter besides Hester, Dimmesdale and Chillingworth, one represents love (Dimmesdale)
and the other hate (Chillingworth) - both strong emotions. Dimmesdale is a coward, so he
cannot express his love, and Chillingworth is also a coward because he hides who he is
and his plan of vengeance. In the end, however, they meet the same fate, because neither
of them has any balance. When Dimmesdale dies, Chillingworth cannot live because his
hate is feeding off of Dimmesdale's existence and when he ceases to exist, there is no
more negative emotion to nourish Chillingworth. Hawthorne seems to be implying that it
is not always so easy to draw distinct lines between love and
hate.

Derivade of: Y=e^(-x)Lnx

To find the derivative of y =
(e^-x)*Lnx.

y = e^(-x)/(
Lnx)

We take logarithms of both
sides:

logy =
Ln(e^-x)+Ln(Ln(x))

Lny = -x
+Ln(Ln(x))

We differentiate both sides with respect to
x:

(1/y)(dy/dx) =
{-x+Ln(ln(x)}'.

(1/y)(dy/dx) = (-x)'+{ Ln(Ln(x)}'
.

(1/y)(dy/dx) = -1+{1/(Ln(x)}(Ln(x)'
.

 (1/y)(dy/dx) = -1+1/(Ln(x))^2 , as (i) {Ln(x)} = 
1/Ln(x) and d/dx{u(v(x)} = (du/dv)(dv/dx).

dy/dx = y{-1
+1/(Ln(x))^2}.

dy/dx = {-1+1/(Ln(x))^2}
(e^-x)(Ln(x)).

Why would Chopin have thought it important to include this detail in her brief mention of the children's nurse ?

I assume you're referring to the "detail" of the
children's nurse being a quadroon.  Kate Chopin's The Awakening
begins as the family is vacationing in the Grand Isles and nearly all the rest of the
story is set in New Orleans.  This is a Creole world, and a quadroon (a person who is
three fourths Caucasian and one fourth Black) would not have been
exceptional--especially as part of the serving class.  In fact,most quadroon women at
this time were relegated to domestic work of some
kind. 

Another reason she may have mentioned it was to add
to the social commentary of the novel.  Class distinction is a major component of this
work; adding a quadroon children's nurse who stands in the background but is still more
of a mother than their own mother speaks volumes. 

Chopin's
mention of that detail is not particularly surprising, given the location, the time, and
the social commentary of this novel.

What is the velocity of the yellow disk after the collision?Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in...

In a perfectly elastic collision, the final momentum of
the bodies that collide is the same as their initial
momentum.

Momentum is given as mass*velocity. Let us take
the mass of both the disks to be M.

Here, initially the
yellow disk is at rest and the orange disk is moving at 7.05 m/s. The total momentum of
the two disks is 0*M + 7.05*M.

The collision of the two
disks is perfectly elastic and after the collision the orange disk comes to rest. Let
the velocity of the yellow disk be V. So the total momentum is M*V +
M*0.

Now M*V + M*0 = 0*M +
7.05*M

=> M*V =
7.05*M

=> V = 7.05
m/s

The velocity of the yellow disk after the
collision is 7.05 m/s

In The Crucible, what is going to happen to the people who signed the testament stating a good opinion of Elizabeth, Martha, and Rebecca?Act3

Remember that this scene is a key one as John Proctor,
Francis Nurse and Giles Corey go to the court to try and argue against the madness that
is sweeping through Salem. One of the many bits of evidence they try to present to the
unyielding Danforth is the testimony of 91 good people who act as witness to the good
characters of Martha Corey, Rebecca Nurse and Elizabeth Proctor. However, instead of
having the effect they intended, the three husbands are aghast to find that by asking
their friends to sign this testament they have been incriminated. Notice how Parris says
the moment that the testimony is presented "These people should be summoned... For
questioning." This of course shocks Francis Nurse who gave his personal word that no
harm would come to those that signed.

Of course,
unfortunately, this fits in with Danforth's logic, for if they are covenanted
Christians, then they will have "nothing to fear." Danforth thus orders their
arrest:

Mr.
Cheever, have warrants drawn for all of these - arrest for
examination.

Thus by trying
to help their friends those that signed are swept up in the Salem witch trials
too.

In Hamlet, what is the purpose of Ophelia's remembrance of the former Hamlet in Act III scene 1?

You have highlighted a very poignant soliloquy by Ophelia
in Act III scene 1. Remember the context of this scene - Ophelia is being used as bait
by her father and Claudius to try and ascertain if Hamlet's supposed "madness" is a
result of his love for Ophelia. Remember that Polonius had ordered his daughter to stop
encouraging Hamlet, as he feared that Hamlet was just trying to use Ophelia and gain her
as a conquest. However, during this scene, with the ever-watchful Polonius and Claudius
secretly looking on, Hamlet obviously manages to persuade Ophelia of his maddened state,
for after he exits, she bemoans what has happened to
him:

O what a
noble mind is here o'erthrown!

The courtier's, soldier's,
scholar's eye, tongue, sword,

Th'expectancy and rose of the
fair State,

The glass of fashion, and the mould of
form,

Th'observ'd of all observers, quite, quite
down.

To my mind, what this
speech does is heighten the sense of tragedy in the play by pointing towards the kind of
man that Hamlet could have grown into if his Uncle had not decided to commit regicide,
seize the crown and the Queen. From Ophelia's point of view, Hamlet was a "noble mind"
and worthy of far more than his present state warrants - thus she ends her speech as
follows:

O woe
is me,

T'have seen what I have seen: see what I
see.

The disintegration of
Hamlet's character, as recorded by Ophelia, shows how the tragedy has changed his fate
and set him on his path to self-destruction. What could have been will now no longer
be.

In chapter thirty of To Kill a Mockingbird discuss Scout's comment about the mockingbird in relation to Boo Radley.

Heck Tate spends much of the chapter trying to convince
Atticus that it is not Jem who hurt Bob Ewell. By the time Atticus is willing to accept
it, they come to the conclusion that Boo Radley killed Bob Ewell out of an effort to
defend the children. Boo did a good thing to protect them. Although, the law would have
it that killing is wrong. Atticus is ruled so often by the law that it is a struggle for
him at times to separate the different types of right things to do in this world. The
men agree to let the situation be an accident and keep Boo Radley's name or mention out
of it.

They expect Scout to understand and do the same. She
claims understanding by likening the situation to shooting a mockingbird. Boo Radley was
an innocent man who didn't do anything wrong and deserves the treatment of innocence,
just like mockingbirds.

What is the difference between the long run and short run aggregate supply curves?

I'd say that there are two major
differences.

The first is that one is short run and the
other is long run.  The short run AS curve is based on the assumption that all of the
things that determine aggregate supply are being held constant.  In the long run, these
determinants of AS are not held constant.

That leads to the
second difference, which is the shapes of the curves.  Because all determinants are
being held constant, the SRAS curve is sloped -- it is upward sloping.  By contrast, the
LRAS curve is vertical.  It is vertical because, in the long run, there is no
correlation between price level and the real level of production in the
economy.

In The Kite Runner, what is the irony in chapter 10 between Baba and the Russian Solider?

Chapter 10 of this great novel is set during Baba and
Amir's escape from Afghanistan, being smuggled out by Russian soldiers. However, at one
point they are stopped by a Russian soldier who will only let them continue if they
allow him to rape an Afghani woman who is there with her husband and child. Outraged at
this behaviour, Baba stands up to defend the woman and berate the soldier for his
behaviour. What is ironic is how Amir is convinced that Baba will be shot for his
impertinence:

readability="11">

"He says he'll enjoy putting a bullet in you
almost as much as..." Karim trailed off, but nodded his head toward the young woman who
had caught the guard's eye. The solder flicked his unfinished cigarette and unholstered
his handgun. So this is where Baba dies, I thought. This
is how it's going to happen. In my head, I said a prayer that I had learned
in school.

However, in spite
of Amir's certainty, a Russian officer stops the proceedings and allows the refugees to
continue on their journey. Yet again, Baba has shown Amir that you should always stand
up for what is right and defend those who need defence, whatever the cost. Although Amir
is convinced that this action is stupid, Baba proves Amir wrong, which also makes Amir
remember another time when he stood by and did nothing whilst the strong punished the
weak:

My mind
flashed to that winter day six years ago. Me, peering around the corner in the alley.
Kamal and Wali holding Hassan down. Assef's buttock muscles clenching and unclenching,
his hips thrusting back and forth. Some hero I had been fretting about the
kite.

A deeper irony exists
in this passage, as not only does Baba stand up for his beliefs and survive, but his
actions again stand as a severe rebuke to Amir for his lack of courage and his inability
to stand up and defend those in need.

What is necessary for the general acceptance of a stereotype?

Wow... big question.  If you look at the loc.gov link (you
have to scroll down to a part that starts on p. 7 out of the 20), you'll see a list of
three reasons why stereotypes form.  Let's look at
them:

• Stereotypes are aids to explaining the
  world.  So there has to be some issue to explain -- one that the stereotype will help. 
  For example, in Maycomb, a stereotype might be used to explain why blacks are poorer and
  less educated.  So one thing that is necessary is some difference that needs to be
  explained.


• Stereotypes are energy saving devices.  If we
  just believe in stereotypes, we don't have to think too hard about what is really
  causing the thing that needs to be explained.  So it is necessary for people to be A)
  lazy enough that they don't care about getting the right answer or B) uninterested --
  they don't really care about the right answer.  This means that the difference that
  needs explaining can't be too important.  In Maycomb, for example, the whites may not
  really care why the blacks are poorer and less
  educated.

If Aya's mass is 37 kg, what is her mass on the moon in kg?

The mass is not changing from place to place in the
universe. Mass is  relating to the content of matter of a rigid body. What changes from
place to place is the weight of an object which is due to the property of the
gravitational attraction  between any two bodies in the universe. The gravitational
attraction depends on the mass of two bodies and the  distance between the centre of
masses of the bodies.

The gravitational attraction on a
planet is thus the main force between an object considering  prediminant huge mass of
the planet compared to any other surrounding relatively smaller
objects.

g = 9.81 m/s^2 is gravitational acceleration on
the surface of earth approximately .

g' = 1.62m/s on the
surface of the moon.

Weight force = m*gravitational
acceleration.

So on earth Aya weighs = Aya' mass*g =
37*9.81N. So Aya has the force of weight  of 362.97 Newton on
earth.

On moon she weighs 37*1.62 N= 59.94N.Therefore Aya
weighs 5.94 N on moon which is roughly 1/6 th of the weight on
earth.

Why was Hastings imprisoned before the start of Richard III?

The issue at the opening of the play is
who has sent Hastings to prison, rather than
what he was imprisoned for.  This is an important distinction, as
it emphasizes the political nature of being jailed as it happens to the nobility in this
play.  Any charge can be trumped up against anyone; the infraction is not the point. 
The point is -- Do the powers that be want you out of the picture or in the
picture?

At the opening of the play, Richard convinces
Clarence that Hastings was sent to prison by the king's wife, Queen Elizabeth.  He
says:

Tis not
the king that sends you to the Tower.

My Lady Grey his
wife, Clarence, 'tis she

That tempers him to this
extremity.

He calls the queen
Lady Grey, since she was the widow of Lord Grey before she married the king.  So,
Richard has already begun to pit characters against each other in his bid for power, and
one of his first moves in this direction is convincing Clarence that Hastings was jailed
at the insistence of Queen Elizabeth.

I need to write a report on illegal immigrants and health care. This is what I have so far. I need a thesis for this report too. Thanks.Illegal...

OK, we could use a little more information, such as what
type of essay this is, and what question or prompt you are being asked.  If I assume
this is a persuasive essay either for or against illegal immigration or immigration
reform, or immigration's affect on the health care system, I have a few suggestions, in
parentheses and bold face below:

readability="32">

Illegal immigrants have serious hidden medical
consequences. (Here I might choose a different phrase than hidden medical
consequences.  To be clearer, you might say something like "illegal immigrants need
medical care and services that are often expensive to the insured and the
taxpayer")

We judge reality primarily by
what we see. But what we do not see can be more dangerous, more expensive ,and more
deadly than what is seen. (I would leave this out, or make it much more
specific.  You're trying to convince the reader that something invisible, which I assume
means illegal immigrants, are deadly, dangerous and expensive.  Deadly and dangerous is
going to be hard to prove without using logical
fallacies)

Illegal immigrants stealthy
assaults on medicine now must rouse Americans to alert and alarm. (This
line implies two things: one, that illegal immigrants are obtaining medical care and no
one knows it (stealthy assaults), which is untrue, and that it is part of a conspiracy
on their part, which is at best, hard to prove.  "Must rouse Americans to alert and
alarm" is what we call an incendiary phrase, that is, it is intended to get people angry
or afraid, and this is not the best argumentative or persuasive
technique)

readability="11">

Strong physical laborers who work hard in
undesirable jobs with low wages, who care for their families, and who wants to pursue
the American dream. (A fragment, so needs to be a complete sentence, but
also not sure how this is connected to the other parts of the essay you want to
prove)

Please
remember that these are just suggestions on my part.  If you revise your question, or
send me a message about your prompt, I can help you more directly with your
thesis.

With regard to "The Doer of Good" by Oscar Wilde, where does it take place?

The poem "The Doer of Good" by Oscar Wilde appears to take
place in the Holy Lands during the time of Christ.

The two
allusions of the two men in the story refer to a leper and a blind man, both of whom
Christ healed in the New Testament accounts in the
Bible.

The sense of the central figure of the story being
Christ is supported by Wilde's allusions to the two miracles mentioned above, as well as
his use of the capitalized pronouns "He" and "His," as is done in the New Testament
referring to Christ, and throughout the Bible when referring to
God.

The theme of the story (that human nature is hard to
change, even in the face of life-altering circumstances) can be applied to any time
period and any situation, as it refers to the human condition. However, the structure
Wilde uses to present the theme using [well-known] allusions, and his use of Biblical
"voice" in the narrative provide (at least figuratively) a setting of the Holy Lands
where Christ and His disciples lived and worked.

How is Scrooge's character shaped by conflict?

The conflict that shapes Scrooge's character is internal;
what this means is that Scrooge is actually fighting himself. Scrooge has been suffering
psychologically for years from the abuse of neglect he received as a child when he was
left alone during Christmas at the boarding school. This moment in his life causes
Scrooge to slowly hate Christmas and mankind, and as a result he becomes London's worst
misanthrope.

However, another conflict manifests itself on
that Christmas eve when the do-gooders stop by to ask Scrooge for a donation for
charity, but before they do, they mention Marley's name. The mention of Marley's name
triggers Scrooge's memory of friendship, love and benevolence, which Scrooge has been
suppressing for years, but now he has to confront them, and confront them he
does.

The conflict intensifies when Marley's spirit arrives
at his own home to warn Scrooge of his demise if he does not heed his warning and accept
the three ghosts. Scrooge's conflict here is in accepting this revelation, for at first
he doesn't believe that Marley is real, for he thinks that Marley is "an undigested bit
of beef; a blot of mustard, a crumb of cheese, a fragment of an underdone potato. In
other words, Scrooge is trying to convince himself that he is suffering from
indigestion. Obviously Scrooge is fighting the truth of the matter, and the truth is
that Scrooge has been fighting himself to not love mankind, Christmas or
himself.

But in this conflict he begins to change, for he
accepts Marley's warning, and waits, in anticipation, for the three spirits that he must
face in order to be saved.

Scrooge's encounter with the
Ghost of Christmas Past reveals Scrooge's Christmas past and it isn't pleasant. Although
Scrooge is somewhat resistant to seeing this past, he examines it, and in accepting what
happened to him back then, he begins to give in to the good in his soul, for when he
sees himself as a very young boy all alone at this boarding school, he sheds a tear;
this tear symbolizes the return of warmth and sympathy in Scrooge's cold heart; the ice
around his heart is melting, and Scrooge is beginning to
resurrect.

But the conflict doesn't end here, for when he
meets the Ghost of Christmas Present, he has to face the realities of the life that he
has created for the Cratchit, for Bob Cratchit is his employee, and the wages that
Scrooge has been paying Cratchit are very pitiful, so pitiful that he cannot afford
proper medical attention for his son, Tiny Tim. Seeing this causes Scrooge to become
even more compassionate, for in Tiny tim, Scrooge must have seen himself. This conflict
that Scrooge faces in witnessing the Cratchits has a tremendous effect on his
character.

The last conflict that Scrooge faces is his own
death, which the Ghost of Christmas Future reveals to SCrooge; it is this conflict that
ultimately changes Scrooge's character, for when he sees that no one is affected by his
death, that no one shows any compassion for him, and when he stands before his very own
grave, he falls to his knees and begs for mercy and forgiveness for his misanthropic
ways.

Scrooge's metamorphosis is a direct result of the
enormous internal conflict that he has been confronting for years, but on this fateful
Christmas eve he succumbs to that conflict; the good in Scrooge final over comes the
evil in him.

What is space tourism?

Space tourism refers to the access being given to
individuals, who belong to the general public and are not part of any governmental space
agency to fly to outer space and spend time in space
stations.

Nations around the World like the USA, Russia and
the Europe Union contribute to operating space stations which help study the effects of
life in outer space on humans and to conduct other experiments which cannot be performed
on the Earth.

They were off-limits to those who were not
professional astronomers for a long time. But in the recent past with people showing an
interest and willing to pay for the tours, the space stations have started to allow what
is being called " space tourism ."

The first space tourist
was the American businessman named Dennis Tito who spent over a week at the
International Space Station. The facility to make paid trips to outer space is offered
currently only by Russia and it costs between $20 - 30 million.

What are six points on the mood/atmosphere of To Kill A Mockingbird?what mood it is in different chapters.... how it is depicted etc?

The mood is light for parts of the book and dark at
others.  Even the lighter moments have darker undercurrents though.  For example, the
times when the children are playing are mostly light.  The children are being children,
playing games and sharing superstitions.  However the games they play introduce some of
the darker elements, like Boo Radley's story.  This foreshadows that there is something
rotten under the surface in Maycomb. 

Most of the serious
events in the book are dark and there are periods of downright melancholy.  Yet the book
is also suspenseful, such as during the verdict reading and when Bob Ewell attacks the
children.  Atticus's shooting the dog falls into this
category.

At times, the book is sorrowful.  The sadness
that follows the verdict and Tom's death, the truth about Dill, the house fire, Boo
Radley's real story and the ending, where they decide to shelter Boo for
examples.

What is a good discussion question for Shakespeare's Macbeth, Act I, Scenes i through iii?Thank You

Act One of a play should accomplish two important
things:

• Introduce all the main characters and
  give the audience some idea of what kind of people they
  are.


• Introduce the main problem or question of the play
  -- a question that the main character will grapple to solve or overcome throughout the
  play's events.

So, I would ask some questions
that relate to these two things.  Here are some
suggestions.

1. Duncan is introduced in Act I,
   scene ii.  What sort of king does he appear to be?


2. Why
   does the play open with the Weird Sisters on a
   battlefield?


3. What do Macbeth and Banquo make of the
   prophecy that they hear in Act I, scene iii?  Are their reactions similar, different? 
   Explain.


4. What is the problem that is presented Macbeth
   once he hears the Weird Sisters' prophecies for himself and
   Banquo?


5. Why is Lady Macbeth, a central character in the
   play, not introduced until near the end of Act I?


6. Why is
   Macduff, a central character in the play, not introduced until Act II, scene
   iii?

For more on the opening scenes of the
play, please follow the links below.

For what value of x is the following 2(tan x)^2+tan(-x)=1 true

For the beginning, we'll notice that one terms has the
opposite variable, -x. Since the tangent function is odd, we'll write the
term:

tan(-x) = - tan x

We'll
re-write the given expression:

2 (tan x)^2 - tan x =
1

We'll factorize by tan
x:

tan x(2 tan x - 1) =
1

We'll put tan x =
1

x = pi/4 +
k*pi

2 tan x - 1 =
1

We'll add 1 both sides:

2
tan x = 2

We'll divide by
2:

tan x = 1

x =
pi/4 +
k*pi

or

tan x =
-1

The tangent fucntion is negative when x is in the second
or the fourth quadrant.

x = pi -
pi/4

x = 3pi/4 +
k*pi

x = 2pi -
pi/4

x = 7pi/4 +
k*pi

The solutions of the
equation are:

{pi/4 + k*pi ;
3pi/4 + k*pi ; 7pi/4 + k*pi}

I want to ask about Elisa's personality in "The Chrysanthemums" by John Steinbeck.

In "The Chrysanthemums," a short story written by John
Steinbeck, Elisa Allen is the protagonist, or main character.  As the story begins,
Elisa is working in her flower garden as her husband talks to some business men.  A
paragraph describing Elisa's work and appearance gives the reader a good idea of her
personality.

readability="9">

She was cutting down the old year's chrysanthemum
stalks with a pair of short and powerful scissors.  She looked down toward the men by
the tractor shed now and then.  Her face was eager and mature and handsome; even her
work with the scissors was over-eager, over-powerful.  The chrysanthemum stems seemed
too small and easy for her
energy.

This description
leads the reader to understand that Elisa is extremely eager and powerful (not
necessarily in only a physical sense), as well as energetic.  Later in the story,
Elisa's interactions with the man in the wagon, reveal that she is extremely passionate
about her plants, although her relationship with her husband seems of little importance
to her.  Elisa seems to be unhappy in her life, although she cherishes certain aspects
of it, such as her gardening.

What is general background information about the spice cinnamon, including its name and the part of the plant it comes from?

Cinnamon comes from a small evergreen from Sri Lanka and
its scientific name is Cinnamomum zeylanicum. The spice is derived
from the inner bark of the tree. It is mentioned in biblical stories so it has a quite
ancient history. It was not commonly used, however, royalty would use it on funeral
pyres, it was used to perfume bedding and clothing. Cinnamon was transported by raft
from Indonesia from the Moluccas to East Africa and then on to the Roman markets. Ninety
percent of this spice is from Sri Lanka, the rest is from China, India and Vietnam.
Today, it is used in the production of chocolate, it is used as a cooking spice. Due to
its antimicrobial properties, it can be used as a food perservative. It has antioxidant
properties and can be used as a health supplement. It can be used as a breath freshener,
to fight the common cold and as a treatment for diarrhea. There are many uses for
cinammon worldwide, that vary by culture.

Imagine what it would be like if there were suddenly no air resistance. Explain three differences you might notice in the world around you.

While air resistance can be a nuisance for a car trying to
get higher gas mileage, there are also a number of cases where air resistance is
desirable.

For example, air resistance is the reason that a
parachute brings a person safely and slowly to the
ground

The resistance of the air allows planes to
fly.

If there was no air resistance all objects would fall
to the ground at the same rate - so if you dropped a piece of paper and a rock from the
same height, they would hit the ground at the same
time.

For objects that were falling through the air, there
would be no terminal velocity - the objects would keep accelerating until they hit the
ground.

I need a couple of things that Ralph symbolizes in Lord of the Flies.(I am making a poster, and everything on it has to be about Ralph)

In William Golding's allegory, Lord of the
Flies, Ralph is life's golden boy, his Adam, who discovers the Garden of Eve
on the island:

readability="11">

Here at last was the imagined but never fully
realized place leaping into real life.  Ralph's lips parted in a delighted smile and
Piggy, taking this smile to himself as a mark of recognistion, laughed with
pleasure.

"If it really is an
island."

Ralph
as leader

With his good looks and
confidence, Ralph embodies the naturally born leader:

readability="6">

"I could swim when I was five.  Daddy taught me. 
He's a commander in the Navy.  When he get leave he'll come and rescue
us....."

He gives commands
immediately, telling Piggy, after he finishes his "baptism" as a leader in
the lagoon, to get his clothes.  He blows the conch and calls an assembly to count who
is on the island and to assert his leadership by a
vote.

Ralph as an
everyman

With his inability to command at
all the assemblies, it is apparent that there is a "cloud of imperfection" about Ralph
with whom readers can identify as he lacks charisma and is inarticulate at times, making
him a sort of everyman.  But, like Adam, Ralph has his "fall" as he becomes drawn into
the bloodlust of the hunt, an action that contributes--along with his leadership
imperfections--to the boys' descent into
savagery.

Ralph as representative of
democracy

As the leader, Ralph can also
symbolize democracy.  He is the first to find the conch, although Piggy instructs him
about its use.  He employs the conch as one would the gavel at a public forum. 
Functioning by structure and order, Ralph strives to have these societal norms on the
island and its inhabitants. He prioritizes as a democratic leader should, placing the
universal needs first, such as the rescue fire and the building of
shelters. 

Also, in the democratic spirit, Ralph tries to
protect the littl'uns and the vulnerable, such as Simon.  Unlike the despotic Jack,
Ralph is democratic in his leadership, as well.  He has his counsel, Piggy, and his
friend, Simon, whom he heeds and consults in various matters.  Ralph recognizes that
"Piggy can think" as he realizes his own shortcomings.

Please give some descriptions or introduction about the forum of Julius Caesar from Ancient Rome.

Because the early history of the forum is entangled in
myths, the true facts are difficult to sort out.  Nevertheless, it is known that the
forum was built in an area that was swampy, not far from the Tiber River that runs
through Rome.  In the seventh century B.C., the early kings of Rome, the Tarquins, had a
sewer system devised, a system that has been discovered and its date verified by
archaeologists.  The Tarquins created the design of the forum--a trapezoid--dividing it
into areas for shops, setting one large area apart for meetings.  This area became that
which Julius Caesar and the other Romans of the era held assemblies for the governmental
purposes.  Worship of gods and even burials were conducted in this area, as well. And,
during the reign of the Caesars when the many victories of Rome against other domains
brought new wealth, the forum was embellished and old buildings were replaced by
magnificent constructions.  Temples were built, shrines, and law courts became common
sites.  Thus, the forum became the center of cultural, commercial, and governmental
activities.

What are some good examples of symbols and imagery in Chapters 7 through 11 in the novel The Grapes Of Wrath?

There are several symbols in the novel. I will list a few.
I cannot also address imagery. This needs to be submitted as a separate
posting.

The first symbol is "the road." Like The
Wizard of Oz, the road is the beginning of the journey home, even though one
may not be sure where or what home will be at the journey's end. The families are using
the roads to leave the old and find something new and more promising. Tom travels the
road to find his home again. The road, while connecting two destinations, can also be a
dangerous place, even as it is today. The road provides connections and gives way to
hope in this novel.

Another symbol found in the novel is
bugs. Bugs are referred to several times. In terms of farming, bugs can cause great
damage to crops. Bugs in the past have been known for giving life and taking it away. In
the Bible, John the Baptist ate locusts and honey in the wilderness, but locusts were
also one of the Biblical plagues. At one point Tom kills a grasshopper with precision
and brutality. Perhaps this is symbolic of how the strong treat the weak, i.e.,
landowners and tenant farmers.

A third symbol is that of
the farm. When the tenant farmers leave the land, the machines take over, and the men
that work the land do not have the emotional connection to these farms that the families
did. Without the care of the families who have lived there, the houses fall to ruin. And
although the farmers try to fight this change, progress will not step aside. No thought
is given to the multiple forms of life that exist on a farm. Certainly today's farmers
are fighting the same battles to survive.

What would be the specific language style(s) used in Lord of the Flies by William Golding.Golding uses quite simple language (perhaps in order to...

Many people consider this to be an allegory, so you can
refer to that as a style. This piece is said to mirror typical civilized societies today
that struggle with a battle between good and evil. The evil in our societies turns us
savage even though we don't see it.

Golding also claims
himself that he based this fictional tale set in a tropical paradise to mirror
Coral Island: A Tale of the Pacific Ocean, by R.M.
Ballantyne.

 In
terms of structure, it is similar to many dystopian novels, but it doesn't follow the
singular man vs. society format perfectly, nor does it occur in exactly 3 stages,
although if you read about dystopias you would see it is very
close.

Your original question about language style would be
simple as you suggested, but I would note that it was written during a period in British
literature wherein the dystopian novel received great attention and has some of its
defining characteristics. Also, I would note that the language works to delineate
between good and evil in terms of theme.

The Handmaid's Tale is a novel in which all men have power, and all women don't. Do you agree or disagree with this statement?

This is a very important question, to which I actually
think you can argue both sides. Certainly Gilead, as a theocracy where fertile women are
nothing more than "walking wombs" as Offred describes herself, is a world where women's
rights are clearly suppressed. Offred's very existence and life is dependent upon her
successful conception - time is running out for her, and we are introduced to her as she
starts her last assignment after two failures. If she is unsuccessful this time she will
be sent to clear up toxic waste which will result in her death after two
years.

However, on the other hand, I think it is also
important to focus on how Offred is able to use her sexuality as power in the novel.
Note the way that the Commander takes her away to the club and Nick creates a plan to
save her and smuggle her out of Gilead. It appears that even in the bleakest of
situations women are by no means defenceless. Offred shows that she is able to use her
sexuality to help herself and also to give her power over
men.

So, with your statement, I think it is plausible to
look at both sides rather than just side with one. This novel in some ways is a
tremendous celebration of the power of women even in the toughest of
circumstances.

What messages are being conveyed by Shakespeare about arranged marriages and parent/ child relationships is the seventeenth century?

In my opinion, it is sort of dangerous for us to try to
say what message Shakespeare is conveying to the 17th century audience.  Our own mindset
is so far removed from theirs that it is hard to know how they would have perceived
these characters.

To an audience today, it seems that
Shakespeare is saying that arranged marriages are bad and that relationships in which
the parents are able to dominate their children -- to force their children into things
like arranged marriages -- are bad too.  It seems that Juliet (at the very least) would
be much better off if her parents had not tried to force her to marry who
they wanted her to marry.  If her parents had acted
throughout the whole play the way that they do in Act I, she would not have
died.

So that's what I "hear" when I read this play today. 
And that's how I'd answer the question.  But I am not certain that that is what a 17th
century English person would have heard.

How does Alice use size to her advantage in Lewis Carroll's Alice in Wonderland?She gets bigger and smaller by eating and drinking.

At the beginning of Alice in
Wonderland, Alice becomes small (having swallowed the contents of a bottle
labeled "DRINK ME"), enabling her to enter a small door in order to follow the White
Rabbit.

At another point in the story, Alice has entered
the White Rabbit's house and grown too large to leave (having had a drink from a bottle
she finds there). Eating cakes she finds on the floor reduces her size so that she can
escape before the White Rabbit can burn his house down with Alice in
it.

At the story's conclusion, during the trial of the Jack
(Knave) of Hearts, chaos ensues—yet again. (This is a normal occurrence in Wonderland.)
Alice begins to grow again, and with her increased size, she becomes more confident,
standing up to the Queen of Hearts and the others. When the Queen demands that Alice's
head be cut off, Alice  tells them she is not frightened of them because she surmises
that they are simply playing a hand of cards.

At this
point, Alice wakes from her "dream."

In chapters 15/16, what are some ways that Jem and Scout make Mr. Cunningham stand in Atticus' shoes?

During these chapters, it seems to me there is really only
one way Jem and Scout make Cunningham stand in Atticus' shoes. Scout and Jem interrupt a
late night event between Mr. Cunningham and Atticus. The event is a sort of altercation
that Mr. Cunningham wants to unleash on Atticus. But, because Scout demonstrates her
natural and sincere childhood to Mr. Cunningham by talking about Mr. Cunningham's past
problems (which remind Cunningham of Atticus' prior help), and talking about his own
child, she helps Cunningham stand in Atticus' shoes. She makes Cunningham realize
Atticus only does what he does to provide for his children. This is the dream of every
father.

Cunningham may very well have shared this
experience with one of his relatives because by chapter 22 and 23 we learn that someone
with Cunningham background was on the jury. Atticus puts together the fact that someone
also took considerable wearing down on the jury. Thus, Atticus relates their experience
at the jail that night as noteworthy.

In "The Tell-Tale Heart," who are the protagonist and antagonist?

You have asked more than one question so I have had to
edit it down to one question. Hopefully with the help of the information about the
characters you can answer your other question about
conflict.

Well, in this story then, the protagonist is
clearly the narrator, who is a rather strange protagonist. As he is an unreliable
narrator we as the readers are unsure of how much to believe his words and what he says.
He repeatedly states that he is sane, but we have deep suspicions that in fact he may
not be because of his mannerisms, reasoning and speech. Note how he introduces himself
in the first paragraph:

readability="11">

True! - nervous - very, very dreadfully nervous
I had been and am; but why will you say that I am mad? The disease had sharpened my
senses - not destroyed - not dulled them. Above all was the sense of hearing acute. I
heard all things in the heaven and in the earth. I heard many things in hell. How, then,
am I mad? Hearken! and observe how healthily - how calmly I can tell you the whole
story.

The juxtaposition of
the narrator's insistence that he "heard all things" in heaven and earth and many in
hell with his insistence that he is sane, clearly makes us suspect
otherwise.

The antagonist is the "Old Man" who the narrator
clearly knows well. The narrator says "I loved the old man." The only dislike he has is
of the cloudy film that covers one of the old man's eye. According to the narrator, he
is apparently rich. Apart from this we are told little of him accept of his horror as he
realises that he is going to be killed.

Hope these brief
character sketches help you work out the conflict and how it is resolved! Poe really is
a master of the short gothic story.

In The Great Gatsby, discuss the character development of Jay Gatsby, paying special attention to how this relates to larger themes in the work.

I think the major theme you need to analyse and relate the
character of Jay Gatsy to is the American Dream. Some have called Jay Gatsby the most
intriguing figure in American literary history. He is a character who has literally
formed his own identity and embodies in so many ways the American
dream.

Consider how his story emerges and develops this
theme of being a self-made individual. He comes from humble roots as his parents were
poor farmers. The Gatsby that we meet in the novel is a result of his single-minded
pursuit of the American Dream and his desire to marry Daisy, who, for him, personified
that dream. Daisy becomes his sole reason for being, and thus he sets himself on his
path of, as it is described, "following the grail" so to gain himself the social
standing and wealth that would place him in the same sphere as Daisy and give him the
chance of winning her. This leads to his involvement in a drug ring, allowing him to
gain wealth and therefore buy a house close to Daisy's and throw luxurious parties in
the hope that Daisy will attend.

It is clear that as Nick
gets to know Gatsby and plays the role of observer and actor in the events in the novel,
Gatsby is presented as being insecure in his position and his parties turn into
gratuitous events that are peopled by disinterested and self-absorbed socialites.
However, Gatbsy's profound loyalty to the American dream and his idealism distinguish
him as being a real tragic hero in American literature whose death is in part a result
of his single-minded pursuit of the American dream.

So,
when thinking about the character of Gatsby we cannot help but relate it to what
Fitzgerald is trying to say about the American Dream as a theme in the
novel.

Compare Marlow's differences in Heart of Darknes by Joseph Conrad and in the movie Apocalypse Now by F. Coppola?

I think that Marlow is shown to be different aspects of
the same form in Coppola's film and Conrad's book.  In the book, Marlow is sent to fetch
Kurtz, while the film is quite explicit about Willard needing to  "terminate with
extreme prejudice."  Another difference would be that Willard kills Kurtz at the end of
Coppola's film and this is not seen in the book.  Another difference would be the post-
Kurtz treatment in both.  In the film, we really don't see life after Kurtz.  Willard
leaves the compound, but we don't get the vision of post- Kurtz Marlow in the book, who
seeks out Kurtz's fiancee to protect her and say that he died with her name on his
lips.  Finally, Marlow is a detached Buddhist like figure in the book, while in the
film, we see him as almost as savage as Kurtz.  While we may feel many things about and
for Willard, seeing him as a detached sage is not one of those
experiences.

How does "Roman Fever" by E.Wharton portray marriages based not on love, respect or commitment, but one based on status and wealth?Edith Wharton's...

In one of her greater works of fiction, Edith Wharton
portrays the class from which she herself came, the social elite of New York, to whom
name and social status are all-important. Relationships are built upon this
upper-class structure as evinced in "Roman Fever."  Mrs. Ansley and Mrs. Slade have been
lifelong friends only because they have been put together by circumstance:  They met
each other as young ladies while vacationing with their families in Rome; then, they
have lived in New York as neighbors across the street from each other.  Now, in
Wharton's narrative, they find themselves again in Rome together with their
daughters.

And, in this Roman setting, old memories are
stirred as the two woman watch as their daughters depart in the company of two young
men.  With the "spring effulgence of the Roman skies," a rebirth of old feelings surge
in Mrs. Slade and Mrs. Ansley, who remarks that "...we didn't know much...about each
other" when they were young under the Roman moon so long ago. With irony, Wharton writes
of the two old friends,

readability="12">

Like many intimate friends, the two ladies had
never before had occasion to be silent together, and Mrs. Ansley was slightly
embarrassed by what seemed, after so many years, a new stage in their intimacy, and one
with which she did not yet know how to
deal.

At this point, their
intimacy of friendship is much like the false intimacies of their marriages.  For, it is
later revealed that all the years of her marriage, Mrs. Slade has never known that her
husband has had a love affair with Mrs. Ansley, and Mrs. Ansley's husband has never
known that Barbara is not really his daughter.  Engaged to Alida Slade at the
time, Delphin Slade remains true to his social commitments and marries her and lives his
life as a corporate lawyer across the street from his former lover.  Likewise, Grace
Ansley maintains decorum and never mentions anything to him or to Mrs. Slade; she has
quickly married after rising from her sickbed back in New York after she has recovered
from Roman fever, thereby deluding Mr. Ansley with what he thinks is her pregnancy after
their marriage.

All of these intimate secrets are kept for
years and years as the Slades and Ansleys have maintained their positions in New York
high society.  Indeed, their marriages are ones of social position and obligation, much
more than love and respect.  Even in the revealing conversation between Mrs. Ansley and
Mrs. Slade there is a power structure, albeit one that changes.

Why did Hercules have to perform the 12 labors? Was he successful? Visit the following site to answer the question:...

Hercules' mother Hera was not happy when she saw his happy
life with his wife Megara and his children. She sent a fit of rage that made Hercules
not realize what he was doing and in his senselessness he killed his Wife and
children.

To atone for his sins he approached the God
Apollo and asked him what he should do. Apollo commanded Hercules to do certain tasks so
that his sins would get cleansed.

Hercules had to go the
king Eurystheus and do the ten tasks that he was ordered to do by the king. Hercules not
only completed the ten tasks he had to do originally but completed two other very
difficult tasks that Eurystheus added later.

Hercules'
success in completing the tasks let him purify himself from the grave sin of spilling
his family's blood.

Why does Prospero suddenly command the spirits he has summoned to vanish in The Tempest?

The brief answer to this is that Prospero needs to turn
his attention to the plot that Caliban has hatched against him.  He knows that Caliban
is plotting to kill him and he needs to take care of that problem.  As he says in the
play

I had forgot that foul conspiracy Of the
beast Caliban and his confederates Against my life. The minute of their plot Is almost
come.—Well done. Avoid, no more!

That last line is
spoken to the spirits, telling them that the play that they have been putting on was
nice, but now it is time for them to leave.

This confuses
Ferdinand and Miranda a bit because it seems somewhat abrupt--Prospero is enjoying this
light play and then suddenly he orders the spirits to leave.

What is an example of a metaphor used in "Dr. Heidegger Experiment" by Nathaniel Hawthorne?

There is a good example of a metaphor right near the
beginning of "Dr. Heidegger's Experiment"

readability="12">

 Colonel Killigrew had wasted his best years,
and his health and substance, in the pursuit of sinful pleasures, which had
given birth to a brood of pains, such as the gout, and divers other
torments of soul and
body.

Colonel Killigrew's
sinful pleasure could not have literally "given birth" to his various pains.  Rather,
Hawthorne means that the sinful life of overeating and loose morals had
brought about the Colonel's ailments just like the process of birth
brings about a new baby. 

This is a classic example of
metaphor: it compares two things without using the words "like" or
"as."

 

1. In Oedipus Rex, what is the subject of the third ode?

The Chorus of Theban Elders in Oedipus Rex are very
concerned with keeping the traditional services and supplications to the gods.  They
spend a lot of the play appealing to the gods to remember that they are "good." They
would not defy the oracles nor imagine themselves to be able to decide or determine
their own fate.  In this way, they are set in opposition to the actions of Oedipus and
Jocasta, who both attempt to outwit Fate and the gods by avoiding the prophecy of the
Oracle at Delphi which has predicted that Oedipus will kill his father and marry his
mother.

The Third Ode, which begins at line 864, reiterates
this obedience to the will of the gods.  It begins:

readability="5">

May destiny ever find
me

pious in word and
deed

prescribed by the laws that live on
high.

It goes on to warn of
the tyrant who would see himself as so powerful he might defy the will of the gods, but
that he will only "climb to the roof-top and plunge/sheer down to the the ruin that must
be."  It then continues to decry those who would set themselves above the will of the
gods, setting a curse upon those who would act in so haughty a fashion. "May an evil
doom/smite him for his ill-starred pride of heart!"

The Ode
ends with a warning that suggests that the validity and sacredness of the oracles, the
works of the gods, have been questioned, and , because of this, "God's service
perishes."

The Chorus in this play, and in this Ode, are
warning the audience to stay true to their beliefs and practices.  It is the
disobedience to the will of the gods that will lead  to chaos and
ruin.

I need a picture that shows scarcity.

The first image that pops into my mind is the work of
Sebastio Salgado.  A photographer that takes pictures all over the world in detailing
what it means to be human, I think several of Salgado's works can bring home the idea of
"scarcity."  His portrait of "Refugees in the Korem Camp" and "Children's Ward in the
Korem Camp" both go very far in showing scarcity on both physical and emotional levels. 
In both pictures, Salgado does a great job in bringing home that scarcity is a condition
that impacts the human being on both levels.  To lack basic fundamentals of life is a
condition that drives at who we are as people in that so little is asked out of
consciousness that to be denies such essentials as food and water causes us to reduce
our own perception of self.  Such hollowness is evident in both pictures as a physical
and emotional depiction of scarcity.  Salgado's works reflect such a condition and might
be something for you to examine in his other pictures.  The second link below helps to
bring out background on what Salgado does, as it is a narrative of him filming the
deforestation of the rain forests in his native Brazil, another depiction of
scarcity.

Why do leaders in developing countries fear the loss of folk culture?

There are different reasons for this and different leaders
can fear this loss for different reasons.  Here are two
possibilities:

• If the leaders are only concerned
  with their own power, they may fear that a loss of folk culture will decrease their
  power.  They may get their power from the fact that their family has traditionally had a
  high status in their culture.  For such people, a loss of folk culture would lead to a
  loss of power.


• If leaders truly care about their people,
  they may feel that it is a bad thing for them to lose who they are as a people.  They
  may feel that there are good things about their folk cultures (things that are morally
  good or things that are just important for the sake of tradition).  If they think this
  way, they will not want these good things to be lost as American culture takes over. 
  For example, if your culture emphasizes families taking care of one another, you might
  think this is good and you might not want that tradition to be lost to the more
  individualistic American culture.

Having said
this, you might want to look in your textbook in case it gives you a specific answer
that it wants to see from you.

Demonstrate that cos2x(1+tanx*tan2x)=1

The first step will be to divide both sides by cos 2x.
This division is possible because cos 2x is not cancelling (if cos 2x is cancelling, the
product cos2x(1+tanx*tan2x) would be 0 and not
1).

1+tanx*tan2x = 1 / cos
2x

Now, we'll substitute tan 2x by tan
(x+x):

tan (x+x) = (tan x + tan x)/(1 - tan x*tan
x)

tan (x+x) = 2tan x/[1 - (tan
x)^2]

1 + tanx*tan2x = 1 + tan x*{2tan x/[1 - (tan
x)^2]}

We'll multiply 1 by [1 - (tan x)^2] and we'll
get:

1 + tanx*tan2x = [1 - (tan x)^2 + 2(tan x)^2]/[1 -
(tan x)^2]

We'll combine like
terms:

1 + tanx*tan2x = [1 + (tan x)^2]/[1 - (tan
x)^2]

We'll write tan x = sin x/cos
x

We'll square raise both
sides:

(tan x)^2 = (sin x)^2/(cos
x)^2

We'll write the
numerator:

1 + (tan x)^2 = 1 +  (sin x)^2/(cos
x)^2

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

From the fundamental formula of
trigonometry, we'll have:

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

1 + (tan x)^2 = 1/(cos x)^2
(1)

1 - (tan x)^2 = 1 - (sin x)^2/(cos
x)^2

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

1 - (tan x)^2 = cos 2x/(cos x)^2
(2)

We'll divide (1) by (2) and we'll
get:

[1 + (tan x)^2]/[1 - (tan x)^2] = [1/(cos x)^2]/[cos
2x/(cos x)^2]

We'll simplify and we'll
get:

[1 + (tan x)^2]/[1 - (tan x)^2] = 1 / cos
2x

We notice that we've obtained, to the left
side, the ratio from the right side, so the given expression is an identity for any
value of x.

1+tanx*tan2x = 1 /
cos 2x

Which character do you sympathize with (laugh at?) most in "Charles"?

This is a personal question about the short story that you
must answer yourself based on your reaction to the story. For me, I laugh at the mother
the most. As a teacher, this mother is easily recognized as what we teachers call a
"Helicopter Parent" - a parent that "hovers" over her child, like a helicopter. Most
annoying. This is why when I first read this short story, I immediately suspected that
Charles and Laurie were one and the same and that the "helicopter mother" was in denial.
This is what makes the story so humorous. Sometimes parents are blind to the faults of
their children, and this mother is guilty of this. That is why it takes her until the
end of the story to figure out that Laurie is Charles and most of his behavior is her
fault!

For me, the mother (also the narrator) is the
character I laugh at and sympathize with the most as a teacher (as explained above) but
also as a mother. It took me until my kids were in middle school to figure out that my
wonderful, well-behaved son and daughter actually exaggerated things that happened at
school! What a shock! As a teacher, I always tell parents that I promise not to believe
everything I hear about them if they promise not to believe everything they hear about
me. So I can laugh and sympathize most with the mother.

How
about you?

What is the Mesopotamian view of the after life?

During the Mesopotamia era, there was a group known as the
Sumerians. These people lived in Mesopotamia from 2900-1000BC. There were one of the
most diverse groups of people living in the valley beween the Tigris and Euphrates
Rivers. There were a very intelligent group of people studying astrology, religion,
science, mathematics, etc.

The religion of the Sumerians
was polytheistic and they spent a great deal of time learning about their gods.  These
gods were very powerful and resembled humans. They were also known as creator gods,
meaning they had created the world and the people that inhabited it. They believed that
there were no punishments or rewards for human beings after death. They believed that
they became "wisps of the earth" and eventually fade into nothing as time went on.
Unfortunately there was little hope for Sumerians.

What are some similarities in theme between the book THE HELP by Kathryn Stockett and the film MISSISSIPPI BURNING?

Both works deal with Southern life at the height of
segregation practices.  They both reveal the different worlds that existed between
Southern Whites and Blacks.  Both works also explore how race was used as a dividing
line between both groups that often kept both at unhealthy distances, increasing
antagonisms and misunderstandings between them.  Another theme between both is that one
sees White Americans seeking to try to bring the narrative of African- Americans into
focus.  Eugenia strives to bring the stories of "the help"out in full force from the
elderly generation, embodied by Abileen, to the perceptions of younger anger, as
embodied by Minny.  In the same light, the FBI Agents Anderson and Ward try to solve the
muder of the three Civil Rights Workers.  In doing so, they are trying to bring to light
the caustic reality of racism on Southern African- Americans.  Both works seek to bring
to light the predicament of those who are silenced by a prevailing social and political
order.

What is revealed about Silas' nature by the brown pot incident in Silas Marner?

The brown pot incident basically demonstrated that Silas
had not lost entirely all his capacity to feel affection of some sort even after the
situation that we went through with William Dane.

When
Silas moved to Raveloe, he had brought with him a brown clay pot that he used for nearly
everything. The importance of the brown pot is that he had had it for over 15 years. It
is one of the very few things that Silas can consider loyal to him. He personified the
brown pot as if it were a friend, or a companion, of many
years.

When he tripped and the brown pot broke, he tried to
put the pieces together but, since it was not possible to use the pot again, he saved
the pot in a special place in his house, as a decoration, (also as a museum piece) to
remind him of his years with the brown pot together, and as a glimmer of affection for
this object which had withstood so much with him.

Based on the poem "To An Athlete Dying Young" by Houseman, what would Houseman have to say about Gatsby's death in Fitzgerald's The Great Gatsby?

This is an interesting question to think about, though I'm
not sure Houseman's poem is particularly analagous to The Great
Gatsby.  In "To An Athlete Dying Young," Houseman discusses the virtues of
dying young, before the accolades of wining the race and the cheers for being the hero
of the town are silenced and before the laurel wreath fades and becomes brittle with
age.  When one dies young, he says, the successes of life are never
tarnished.

Gatsby is not particularly young, nor has he
accomplished anything particularly noteworthy beyond making a lot of money through shady
business deals.  When he dies, literally no one mourns his passing.  Nick is sad because
he understands the hopeless dreamer/romantic had a better heart for love than those who
caused his death (Tom and Daisy); however, even Nick has disdain for many things about
Gatsby.  While the young man being carried through town has done something praiseworthy,
Gatsby has not. 

The only real point of comparison, then,
is that this young man died before he could live out the heartaches of being forgotten
and overshadowed by others and so did Gatsby.  He only had to live one day with the
knowledge that Daisy didn't love him enough before he was killed.   To that extent,
perhaps he his better off, just like the young athlete, according to
Houseman.

explain sunnah in briefsunnah is a kind of itikaf

When one talk about sunnah, he or she needs to talk about
the Prophet, Muhammed's deeds, words and the things that he agrees about or the things
that he leaves open. This means that sunnah is the second source of Islam. In this part,
the Prophet explains everything concerned the Holy Quran. He also guides his followers
towards the good deeds. By doing all what the Prophet, Muhammed, says, people will do
what Allah wants or asks for.

Of course when doing what is
sunnah, Allah will reward you. But if do not do what is sunnah, like performing two
Rukaas after Zhur Salah, you won't be rewarded or punished. Therefore, to feel happy and
content, you had better do what is called sunnah.

What common theme or idea is being presented in "A Doll's House” and the story “Chrysanthemums"?Compare the social commentary in these two...

In A Doll's House by Henrik Ibsen,
and "Chrysanthemums" by John Steinbeck, the common theme in these two stories revolves
around “a woman's place.”

In A Doll's
House, Nora is our protagonist. She is controlled by the men in her life:
first her father, then her husband, and finally, Krogstad, the man she borrows money
from.

The era in which she lives has specific societal
expectations of women: be subservient and proper. Do not question the authority of
husband or society. And don't do anything to embarrass yourself, and thereby embarrass
your husband.

Nora, after turning the world upside down to
save her husband's life earlier in their marriage, has now been found out. Her husband
cares not at all about her sacrifices on his behalf; he only cares about how society
will perceive him. At the end, Nora leaves.

In
"Chrysanthemums," Elisa is a woman who is a good and hardworking wife. She has a
supportive husband, and they have a nice home and a fine life together. However, Eliza
finds herself disheartened when a tinker (a traveling man who sells things or services,
such as repairing broken household items out of his wagon or truck), manipulates Eliza
into giving him work by pretending he values what she values: her
chrysanthemums. When Eliza goes out that evening with her husband, she sees the pot of
plantings she had given the tinker have been discarded on the side of the
road.

In both stories, our female protagonists are
undervalued within their society. Nora is not allowed to borrow money to save her
husband, and is not recognized as her husband's
equal.

Eliza is treated well by her husband, but the
tinker's behavior exposes the truth of much of society's view that women, in general,
are lesser individuals. Eliza realizes that she would love to be able to move freely
about as the tinker does, but cannot do so because she is a
woman.

In both stories, the women are restricted by the
society in which they live. Nora decides to do something about it. Eliza may perceive
herself differently, but the sense at the story’s end is that this will change nothing
in her life with respect to the society in which she lives.

How can we seen women's rights as a human right in Mariama Ba's 'So Long a Letter.'

I think that you could make the case that Ba's work argues
women's rights as a human right.  One of the most striking elements of the work is how
women, even those steeped in modernity, find themselves subjected to antiquated
traditions that empower those in control and disempower those who seek to establish
their own voice and narrative.  Ramatoulaye articulates a condition where all women are
placed in a stratified condition that benefits men and their family.  Her letters
reflect this, and demonstrate how a woman wishes to live her life free of the restraints
and the predicament that takes away her freedom.  This can be seen as a human right, as
it demonstrates a voice being oppressed by an external force and striving to be free
from intrusion.

How does Santiago overcome his loneliness in The Old Man and the Sea?

Santiago is, as the title suggests, an old man.  He's been
a fisherman for his entire life, and he has learned to overcome any obstacles which face
him.  In The Old Man and the Sea, Santiago's greatest obstacle is
not his solitude, though he does have to deal with it to a greater extent than usual
because he's gone for so long.  

While he's at sea,
Santiago needs to keep himself strong in every way.  Physically, he eats the tuna he
catches, tries to rest when he can, and does his best to protect his hands and back from
the strains of the line.  Mentally, he reminds himself of the great Joe DiMaggio and his
bone spur.  Emotionally, he tries to stay focused on the present, despite his
reveries and daydreams.  This is where he fights his solitude, and he does so by talking
to the living creatures around him (the birds, the fish, the sharks) as well as
bolstering his energy by talking to himself (his hands, his back, his mind).  This is
his only defense against the solitude of being adrift in the ocean an at the whim of a
giant fish.  The greatest danger of his solitude, of course, is bringing in the fish by
himself--which he does.

In the movie THE LAST OF THE MOHICANS what examples of political strife and human suffering are taken place

Political Strife - There were
two different kinds of strife happening in this way during the film, 1) The obvious
tension and strife between two empires at war, the British and the French, and 2)  the
emerging strife and tensions between the British Crown and its soldiers and the
colonials who are not blindly loyal.  While no Americans were really talking about
independence yet, the differences between these two peoples and their views was made
very plain in the film.  For example, think of the time when Duncan tries to recruit
troops for the militia, or when those troops try to obtain terms from General
Webb.

Human Suffering -
Obviously, it is a war, and of course the soldiers are suffering, but
there were also many civilians caught in the crossfire.  There are those who are killed
on the frontier settlements by a war party of Huron, and those that are massacred along
with British troops by Magwa's men.  We also have the individual suffering of the
characters as they struggle to escape Magwa's desire for
revenge.

What kind of person is William Dane in Silas Marner?

William Dane is a terrible and extremely conniving person
who will basically go to any lengths to get what he wants.  He is one of Silas' friends
and they actually meet because of their shared religious views and feelings.  Their
particular sect meets at "Lantern Yard" in a town in Northern
England.

But unlike Silas, Dane's religious feelings only
go so far as they benefit him directly.  So when he sees an opportunity to enrich
himself and get Silas' girl, he manages to work out a plan to do both.  He has a pile of
money stolen from the church, gets Silas blamed for it, then runs off with his
girlfriend and ends up marrying her.

In Animal Farm, how does Orwell manage to describe Boxer's 'disappearance' to create sympathy, anger and sadness?

Boxer, the great pillar of the workingman's strength and
commitment, is ultimately betrayed by the pigs, the primary benefactors of his
dedication and work ethic.  Far worse than simply allowing him to retire, or even to die
amongst his friends (though his wounds were surely not fatal), the pigs sell him “for
parts” and use the proceeds to buy alcohol.  The pigs then tell the other animals that
boxer died praising the farm. 

This scene shows the
disparity between what should be and what is on the farm.  In a just society, those who
believe in the society and work for it should be cared for and supported out of respect
for their commitment, especially if they sacrifice their health for it.  Under the rule
of the pigs, animals are worth only what they have to offer to the community.  In
Boxer's case, once he had worked himself into decrepitude, his value was diminished to
the price that his body would fetch for glue and the propaganda that the pigs could
build based upon his martyrdom.

We feel sympathy for Boxer
because of the tremendous injustice done to him by his those who benefited from his
labor (according to Dante, the lowest circle of Hell is reserved for those who betray
their benefactors).  We are sad because Boxer is one of the most likeable characters in
the story.  And finally, we are angered by Boxer's fate because people mostly believe in
a fair and ordered universe in which good deeds are rewarded and evil deeds are
punished.  Instead, in Boxer's case, as in Snowball's, and, in fact, through the rest of
the story, we are denied the moment of terrible retribution and justice that is well
deserved by the pigs.  We are denied the sight of Napoleon's head being paraded through
the streets of Paris or Squealer being tried at Nuremberg.  The bad guys win, and the
world is poorer for it.

Explain why the Texas vs. Johnson case was important at the time.Supreme Court Cases

In my opinion, this case was important at the time it was
decided (1989) because it helped to get what we now call the "culture wars"
started.

When I use the term "culture wars" I am referring
to the apparently deep splits between relatively liberal, urban, coastal America and
more traditional "heartland" America.  We now see these "wars" being played out over
issues like gay marriage, abortion and other, typically religious or patriotic,
issues.

At the time that the case was decided, these "wars"
were not really in full swing yet.  But this case helped get them going because it was
so clearly opposed to traditional values of patriotism.  It therefore angered many
people and helped to fuel the perception of a major gap in
values.

How does Nick view Gatsby's parties in The Great Gatsby?

Nick reports directly about his first experience of
Gatsby's parties in chapter 3. From the beginning he notices that people arrive early in
the day to swim and play during the afternoon while great canvas tents are pitched,
orchestras set up, and lemons and oranges arrive to be freshly squeezed for
drinks.

Something worth great note is the typical party
attendee. Nick specifically points out twice that he is one of few people actually
invited to the party. Many people just show up with no relationship to the host. They
leave the same way. Nick noticing free dancing, singing, and play throughout the
evening. As people meet each other he comments that tones seem casual and he suggests
that what occurs here is surface level and forgotten later.

What's the difference between a law and a code and which is more powerful?To Kill a Mockingbird by Harper Lee

A law is a written dictate of a rule of conduct for
members of a society.  Certain punishments are assigned to the failure of an individual
to follow a law, as well.  A code is an unwritten set of conventional expectations or
principles that members of a group, such as a society, are to follow.
[freedictionary.com]

In some societies
a social code is often more powerful than the law.  For instance, Shirley Jackson's
short story, "The Lottery," demonstrates the power of the social code over the law.  The
victim of the lottery, Tessie Hutchinson, points to the unfairness of the custom of her
village, but no one pays attention to her legal point. Certainly, in Maycomb, Alabama,
the code of conduct assigned to blacks and whites is a very strong set of expectations,
a code, that when broken, has serious repercussions.  For example, when Mr. Dolphus
Raymond goes to live with blacks and has chidren by a black woman, he is ostracized by
society.  That this code is more powerful than the law of the state is exemplified by
Mayella Ewell:  Having broken the racial code by "kissing a Negro" she is willing to
perjure herself in a court of law and risk imprisonment and fines by accusing Tom
Robinson of rape rather than to admit to what she has done.  Of Mayella, Atticus Finch
says in his summation to the jury,

readability="15">

...she [Mayella] has merely broken a rigid and
time-honored code of our society, a code so severe that shoever breaks it is hounded
from our midst as unfit to live with....She knew full well the enormity of her offense,
but because her desires were stronger than the code she was breaking, she persisted in
breaking it....

[To defer the dire consequences of the
breaking of this code, Mayella] "struck out at her victim--of necessity she must put him
away from her...She must destroy the evidence of her
offense.

Indeed, in Macomb,
the social code regarding the association of the races is much stronger than any
law.

Why was it lucky that Elie's shoes were covered with mud?

In this chapter, everything of worth is being stripped
away from the Jews who own it by the Kapos and others in charge of the camps.  Elie's
shoes are brand new, and so therefore would be of great value to anyone whose shoes are
in poor shape.  Even if he didn't need the shoes himself, Elie's new shoes would be of
value to the Kapo who could use them to barter for something he
wanted. 

Consequently, if these brand new shoes are covered
in mud, it is difficult for anyone but Elie and Elie's father to know they are brand new
and valuable.  The mud, which would normally be a source of angst for Elie as his
parents would likely be upset that he didn't take better care of his belongings, has
served as a protector and a shield for Elie.  He is able to keep his new shoes without
conflict since the mud disguises their value.

What is the theme and the purpose of the writing of "the Lottery"?

An author's purpose in writing a story is generally
expressed in the theme.  In this case, Shirley Jackson wrote "The Lottery" in order to
express the theme of mindless adherence to tradition.  Let's face it.  The only reason
this town continues to conduct a lottery is because they've always done it.  Other towns
have done away with the practice--much to the dismay of the old-timers in town such
as Old Man Warner--so we know it can be done.  At one time, perhaps, the lottery was
somehow connected to a fertility ritual, sacrificing to the gods in hopes of finding
favor for the crops or the town or whatever.  Now, though, the practice is senseless and
even barbaric.  Why do they continue to do it, then?  Because they always have.  Oh,
it's changed some over the years--they use paper instead of wood chips, and many of the
rituals connected to the event have been lost; at its core, though, though, this is the
mindless, unthinking, unquestioning repetition of what has always been done.  The
question Jackson clearly asks is whether we have any mindless traditions which we adhere
to without rhyme or reason, and is that a good thing. 

When
I teach "The Lottery," I'm always reminded of the story about a mom who was preparing a
roast for dinner.  She would always cut the ends off the roast, and today her daughter
asked her why she did that.  The mother said she did it because that's the way her
grandmother always prepared her roasts.  Later, the young girl asked the grandmother why
she cut the ends off the roast before putting it in the oven, and her answer was
simple:  "Because it wouldn't fit in the pan."  All these years of cutting the ends off
the roasts for no good reason.  What a waste.  And that's the
point.

There's more, as this is a complex story, but this
is the primary theme the way I see it. I've also attached an excellent e-notes summary
of themes site below for some further insights on this story.

In To Kill a Mockingbird, what does Atticus find wrong, what right, with the idea that all men are created equal?

In Harper Lee's To Kill a
Mockingbird, I believe that the idea of "all men are created equal" is
something that Atticus struggles with.

Atticus feels that
all people are equal morally and under the law, and that skin color and one's heritage
should have no bearing upon the value of the
individual.

However, Atticus struggles with his community's
perceptions of equality. Atticus' morality will not accept how his peers treat those who
are supposed to be "equal."

In Maycomb, the town in which
they live, some people consider themselves more equal than others. The whites of wealth
and property consider themselves superior to those whites of the lower classes, and
don't consider blacks to be human beings at
all.

Ironically, Bob Ewell believes, even though other
whites consider him "white trash," that he is far superior to Tom Robinson and his
"kind" because Ewell has white skin.

readability="8">

All the little man on the witness stand had that
made him any better than his nearest neighbors was, that if scrubbed with lye soap in
very hot water, his skin was
white.

As Atticus tries to
see the individual rather than, for example, skin color or social status, he is
disappointed with those tied to the past (the Civil War) and societal expectations
(upper vs. lower classes), and their use of these things to judge the value of others.
Equality is not subjective, nor are there different kinds . Atticus would see the
concept of equality open to all people.