Find the area of a triangle with sides 4, 5 and 6

We can find the area of a triangle in terms of its semi
perimeter and the sides.

If the semi perimeter, s = (a + b
+ c)/2 = (4+5+6)/2 = 15/2

The area of the triangle can be
found using the relation Area = sqrt [
s*(s-a)*(s-b)*(s-c)]

sqrt [
s*(s-a)*(s-b)*(s-c)]

=>  sqrt [(15/2)*((15/2) –
4)*((15/2)-5)*((15/2)-6)]

=> sqrt
[(15/2)*(7/2)*(5/2)*(3/2)]

=> sqrt
[98.4375]

=>  9.92
(approximately)

The area of the triangle is
approximately 9.92.

In Shakespeare's A Midsummer Night's Dream, Act 4, Scene 2, why are the mechanicals so disappointed about not being able to perform their play?

Shakespeare uses the mechanicals to show how ambition can
distort reality, making one believe in an illusion of reality rather than what is truly real. The
mechanicals are a group of menial laborers from Athens. They are uneducated and have never
performed before in their lives; yet, they feel a driving desire to perform a play before Duke
Theseus that they have written themselves in honor of his wedding day. Their ambition makes them
visualize performing a grand play, when the reality is that they simply do not have the knowledge
and skills to perform at the level they are envisioning. The reason why they are so disappointed
when it looks like they will not be able to perform their play is that, due to their ambition,
they all have visions of grandeur.

The mechanicals begin to doubt that they
will be able to perform the play when they cannot find Bottom, whom they see as the star of their
show, the only one capable of making their performance a grand one. Quince determines that if
Bottom does not show up, it will be impossible for them to perform the play, for he believes that
Bottom is the only man in Athens who can play the part of Pyramus because he is the best looking
and has the best voice, as we see in Quince's line, "Yeah, and the best person too; and he is the
very paramour for a sweet voice" (IV.ii.11-12). By "paramour," Quince means to say "paragon,"
meaning model. The mechanicals' view that Bottom is their star is actually influenced by Bottom's
own conceited and unjustified opinion of himself, as we see him declare, "If I do it, let the
audience look to their eyes; I will move storms" (I.ii.22-23). Hence, we see that the
mechanicals' vision of grandeur is influenced by Bottom's own vision. Therefore, the mechanicals
are disappointing when they think they will not be able to perform the play because their
ambition has lead them to believe that they can give a splendid performance, but not without
Bottom.

Which nation has been most affected by slavery in 20th century?

It is really hard to tell which country has been the
most affected, since the traffic is illegal, and largely invisible
to the public.  I would have to say that Mexico is one of those most affected though. 
There is a vast amount of drugs, legal goods and humans that cross the border from
Mexico into the United States every day, and along with that traffic is, tragically and
horribly, slave trafficking as well.

Most of the victims
are children and teenagers, and are sold into sexual slavery inside the United
States.

There are other countries where slave laborers are
still sold, including in and between some African countries.  Follow the links below to
the United Nations site on human trafficking and domestic
slavery.

Explain Ignorance and Want, who appear in Stave 3 of A Christmas Carol.

Ignorance and Want are children who appear from inside the robes
of the Ghost of Christmas Present.  Dickens says of them:

readability="31">

They were a boy and girl. Yellow, meagre, ragged,
scowling, wolfish; but prostrate, too, in their humility.. . .No change, no degradation, no
perversion of humanity, in any grade, through all the mysteries of wonderful creation, has
monsters half so horrible and dread.

“Spirit! are they yours?”
Scrooge could say no more.

“They are Man's,” said the Spirit,
looking down upon them. “And they cling to me, appealing from their fathers. This boy is
Ignorance. This girl is Want. Beware them both, and all of their degree; but most of all beware
this boy, for on his brow I see that written which is Doom, unless the writing be
erased."

With the revelation of these
ragged, pitiful children, the Spirit is cautioning not only Scrooge, but all of mankind.  He
proclaims that they represent Man's worst enemies  -- the state of Want (for food, shelter, etc.)
that many suffer and live through every day, but most especially, the self-imposed Ignorance of
this state of affairs, the Ignorance in which Man chooses to live his life.  Man, according the
the Spirit (and Dickens ), must wake up and see what is needed by others and the part each
individual can play to ease the pain and suffering of his fellows.  The Spirit cautions that,
unless Man wakes from his self-imposed Ignorance, he will create his own downfall, his own
"Doom."

The Ghost then relates these general predictions about all
of mankind more specifically to Scrooge when he taunts him with his own words from early in the
story, a demonstration of Scrooge's choice to live in
Ignorance:

“Have they
no refuge or resource?” cried Scrooge.

“Are there no prisons?” said
the Spirit, turning on him for the last time with his own words. “Are there no
workhouses?”

For more on Ignorance and
Want and the social responsibility of mankind as advocated by Dickens, please follow the links
below.

Can you guide me how to incorporate and to identify fallacies, or how to refute other essays in my own essay?My essay is about child obesity in...

In order to refute other essays in your own essay, you must look
for (as you research) essays which propose ideas that are, in reality, untrue. Often, an author
uses an opinion but presents it as a fact, often through scholarly language and academic tone.
Other ways to refute arguments in your essay is to look for information that is presented by
means of false logic, or fallacies. In order to do this, you must be aware of common logical
fallacies.

The following list is not exhaustive, but certainly is a
good place to start when analyzing other essays and looking for refutable
points:

• generalizations
  (hasty or sweeping): essentially, this is when an author makes an assumption about
  all of something, based on a sampling of just a few of
  that something.


• Non
  Sequitur: making the assumption (incorrectly) that one thing causes
  another; often based on an assumption that is merely an opinion in the first
  place.


• deductive fallacy: this term
  is typically applied as an almost "catch all" to say that the structure of the argument's
  presentation renders the argument invalid. However, it is also used and applied to any
  general or informal fallacy in an
  argument.

Depending on what your paper is trying to
sayabout childhood obesity, a final approach to refuting others in your essay is to simply look
for direct contradictions to what you are saying or using as proof in your argument. You can
frame these kinds of examples with, "According to [example researched essay], childhood obesity
is (__________), but this simply is not true." Then, go on to prove why it
isn't true with facts from your own research.

The link below is a
much more extensive list of common types of fallacies in arguments and also contains examples,
which are helpful. Hopefully it will help you as you attempt to prove your argument and disprove
some of the counter-points made against your argument. Good luck.

Describe Antonia at the end of the book. how has she change, and in what way does she stay the same?Antonia is obviously the hero of this story. ...

When the reader first meets Antonia, she is a young girl.
She is full of hope and plans for the future. She wants to learn English, she wants to
go to school. After her father dies, however, she has to help her family. Her dreams
must be put away. Her mother is overwhelmed and weak, and she is not a good role model
for Antonia. Antonia learns more about how to be a mother and run a household from Mrs.
Harling, during the years she works there. She also wants to have fun, though, and for a
period in her life, she starts to party  - go out dancing, etc. She falls in love with a
worthless man who gets her pregnant and then deserts her. So, with all of this, Antonia
experiences life in a much harder way than Jim does because she comes from a different
world than he does. For most of the novel, he does not understand
this.

By the end of the novel, Antonia is a survivor. Her
life had not worked out the way she thought it would when she was a young girl, but she
is happy nonetheless. She has a large loving family, a good husband who loves her. She
has land and a thriving farm. She represents the pioneer spirit, the type of people that
helped settle the west. Jim left the west and went back east. At the end of the novel,
he is divorced and unhappy and comes home seeking the happiness he once knew. He finds
that Antonia is not successful perhaps in the same way he is (with a career) but she is
much happier than he is. She is fulfilled and he is not.

Which of these poems most demonstrate the simple, commonplace and the dramatic, and in what ways do the selected poems show these attributes?The...

I think that the best way to address this question is to
use Wordsworth's analysis on poetry as in his work, Lyrical
Ballads.  When Wordsworth argues that poetry has to be centered and fixated
upon the "incidents and situations from common life."  I think that this helps establish
that Wordsworth believed that within these daily occurrences, something powerful
emerges.  This is why so many of Wordsworth's subjects are elements found in nature or
in the natural setting.  Wordsworth sought to democratize his poetry by ensuring that
the subjects of his work could be approachable by anyone.  In this light, Wordsworth was
able to bring out the universal from the subjective, the external from the internal.  In
his poetry the subjects are in accordance to this idea.  A woman singing in a field, the
field of flowers swaying to the breeze, as well as a bridge are all settings for
profound truths of consciousness that can be appreciated by anyone for they can be
discovered by anyone.

What is the tone and the character of the setting in Book 1 of Homer's Iliad?

Homer's Iliad takes as its setting
the shore near the "high-walled" city of Troy (also known as Ilion). The epic opens at
the Greek encampment on that shore ("the shore by the tumbling, crashing surf"; Ian
Johnston translation). The tone is a dire and ominous one as the Greek camp has been
ravaged by a terrible plague, which was caused by Agamemnon's inhospitable treatment of
Apollo's priest Chryses.

The tension and desperation caused
by the plague is heightened by the quarrel that ensues when Agamemnon and Achilles
quarrel over the solution for the plague.

After Agamemnon
angers Achilles by threatening to take Briseis from him, the setting remains "by the
shore" where Achilles complains about Agamemnon's treatment of him to his goddess
mother, Thetis.

The setting continues at the shore as the
Greeks send back Chryseis to her father Chryses, but then shifts to "the highest peak of
many-ridged Olympus" as Thetis pleads with Zeus to help
Achilles.

After his meeting with Thetis, "Zeus went inside
his house" where he meets with the other gods. The quarrelsome tone that characterized
the encounter between Agammenon and Achilles is paralleled in the ensuing argument
between Zeus and Hera, as Hera questions the nature of the meeting between Zeus and
Thetis. Angered at this, Zeus threatens Hera with
violence.

Book 1 ends on a lightened tone, though as
Hephaestus turns the gods' attention to drinking and causes them to laugh as they watch
Hephaestus "bustling around".

What does this metaphor mean from Andrew Marvell's poem "The Garden"?"The mind, that ocean where each kind Does straight it's own resemblance find."

This poem is often viewed as a celebration of a simple life as
opposed to the frenetic lifestyle of one who has chosen to seek public office, responsibility and
the cares of the world. In the stanza where this quote is taken from, the speaker talks about the
mental pleasures that can be gained and how intellectual fulfillment can be achieved, not through
worldly pursuits but through the creative imagination. Thus the mind is compared to an "ocean"
where thoughts can seek out and find other similar thoughts to aid in process of becoming
intellectually fulfilled. This is what is referred to by the reference to "each kind / Does
straight it's own resemblance find." The mind, when free from distractions such as ambition and
worldly concerns, is free to be stimulated and can create "Far other worlds and other seas," in
stark comparison to the stagnantation experienced by those whose mind is so preoccupied with the
search for power, station and prestige that they do not have the time to experience such
intellectual fulfillment.

Explain the Endurance Shackleton's legendary Antarctic expedition.

Sir Ernest Shackleton's Imperial Trans-Antarctic
Expedition of 1914 established a goal which no explorer had yet completed: a crossing of
the continent from Atlantic to Pacific Oceans. Shackleton's audacious plan was to take
two ships, Endurance and the Aurora, with one
distributing supplies at various stops while Shackleton's men made the 1800 mile trek
across Antarctica. However, Shackleton's ship, Endurance, became
frozen in the ice, and the men were forced to wait for a spring thaw in order to
continue. However, Endurance eventually took on water and sank,
leaving Shackleton's party to survive on an ice floe with minimal supplies. The rest of
the journey became an incredible ordeal of survival against the elements and,
incredibly, Shackleton's own group was eventually rescued without the loss of a single
man. (Three men died on the Aurora, however, including the ship's
captain.) The expedition's crew was finally rescued in August 1916--nearly two years
after it began.

What do George and Lennie have in common?(atleast five characterstics)

George and Lennie actually have very little in common
other than their experiences and background.  Lennie's emotional and mental limitations
also limit the kind of relationship the two characters can have with each
other.

For one, they are both farmhands, migrant workers
who go from ranch to ranch and work jobs such as "buckin' barley".  In this way, they
are both fairly simple, without a lot of ambition.

Another
thing they have in common is their own shared history.  They don't know the rest of the
ranch hands, they only know each other, and the things they have been through since
Lennie's Aunt Clara died.

Third, they are both generally
good people, Lennie because he knows no differently, George because he's been raised
that way.

Fourth, they seem to need each other, that is,
they are the only real family each other has, and so they protect each other, Lennie
needs George to look after him, and George needs to look after
Lennie. 

Lastly, they share a dream, a little place where
they can "live off the fat of the land", and no one could "can" them.  Lennie, of
course, gets to "tend dem rabbits".

What is reader response Criticism?

The Reader Response theory is an interesting approach to
literary texts in that it places the reader at the centre, and the process of reading itself is
viewed as a dynamic and ever changing experience depending on the readers, their background and
combined set of experiences. The reader’s participation in the text is required to infer meaning,
and "concretize" the words on the page. The readers will bring their own perceptions and
experiences to bear on a text, and no two will bring the same interpretation.

In order to understand the Reception Theory, another name for
Reader Response, some terms have to be identified:

Textual
Indeterminacies or Gaps

These are instances when a reader is faced
with insufficient information and as a result, he/she must bring his/her own interpretation into
play in order to make sense of the text.

Horizon of
Expectations

The “horizon of expectations” refers to the collection
of assumptions that particular “reading communities” (groups of actual or implied readers) have
(or had) when they read texts. The horizon of expectations concept recognises that ideal
characteristics or cultural/moral norms will change over time. Thus, new generations of readers
will bring evolving meanings and experiences to a text.

Implied
Reader

The “implied reader” is the “ideal” reader for any particular
text; this will generally be the reader whom the author “had in mind” when he wrote the text.
Characteristics of the implied reader would include:

1) Facility
with the language the text is written in;

2) Familiarity with the
cultural references and literary allusions explicitly used in the
text;

3) Familiarity with the social norms assumed but not
necessarily described in the text (so that the reader will have the ability to fill in the “gaps”
that the author leaves in, either to create literary effects or simply because she doesn’t think
of them as gaps);

4) For intentionally difficult works, someone
willing to read slowly and work hard at an understanding;

Thus, the
implied/actual reader would have the correct set of attitudes/beliefs to comprehend the text, and
obtain/take on board its full intended effects.

Actual
Reader

The actual reader is the reader who, in real life, can
appreciate/engage with a text without necessarily sharing the set of attitudes and beliefs to
understand the text.

Some of the theorists that helped to develop
the Reader response theory are: Hans Robert Jauss, Wolfgang Iser and Stanley
Fish.

Who can give me a summary of what "Shooting an Elephant" is about?I have to write a summary over "Shooting an Elephant" but I have 3 more papers to...

Shooting an Elephant is mostly a series of metaphors for
the way that George Orwell feels/felt about both the larger circumstances of Great
Britain's role as the occupier in India and his own role within the structure of that
occupation.

The entire tale of the tracking of and then the
shooting of the elephant bring out some of the futility of the British effort to control
the Indian populace while knowing that there is no love lost between the colonizers and
their colony as well as zero effort or capability to actually relate to or interact in
normal ways with the populace at large.

As he feels
terrible frustration at his own incompetence in trying to bring down the elephant and
the inevitability of the populace eventually taking care of things and cleaning up the
mess, so to speak.

What are some important lines in Act 2 Scene 2 of Macbeth?Really anything important that has an impact on the play such as foreshadowing,...

In Act 2 Scene 2 of Macbeth, Lady
Macbeth has drugged the guards and is waiting to see if Macbeth follows through with the
murder.  While she waits, she hears an owl shriek and calls it the "fatal bellman." 
This symbol suggests that the murder has taken place.  Shortly after, Macbeth returns to
their chamber crazed because he believes that someone has heard him commit the murder. 
Lady Macbeth is angry with him because he cannot control his emotions, and she tells him
that she would "shame to wear a heart so white."  This element of characterization
suggests that Macbeth is weak at heart.  Finally, at the end of the scene, Macbeth and
his wife hear knocking at the door.  Macbeth says that he wishes the knocking would wake
Duncan which suggests that Macbeth feels regret for what he has
done.

What is Compatibilism?

Compatibilism is a theory that is meant to reconcile the
idea of free will with the idea of determinism (the idea that our fate is already
determined).

Many people believe that these two things
cannot be compatible.  If our fate is already determined, we have no free will because
what is going to happen to us is already determined.

There
are many different strands of compatibilism that solve the dilemma in different ways. 
For example, classical compatibilism argues that people are able to choose what they
do.  They are not (so far as they know) forced in one way or another.  Because they are
not forced, they have free will.  Someone may know what they are going to do, but they
themselves do not know.

Find the area bounded by the curve f(x) = x^2 and the line y= 5x-6.

Given the curve f(x) = x^2 and the line y=
5x-6

We need to find the area between the curve and the
line.

First we need to find the intersection
points.

==> x^2 =
5x-6

==> x^2 - 5x + 6 =
0

==> (x-2)(x-3) = 0

==>
x = 2 ==> x = 3

Then we need to find the area between the
interval [ 2, 3].

First we will find the ares under the curve f(x) =
x^2.

==> Int f(x) = Int x^2 dx =
x^3/3

==> A1 = F(3) - F(2) = 27/3 - 8/3 =
19/3.

Then the area under the curve f(x) is A1=
19/3.

Now we will calculate the area under the line
y.

==> Int y = Int 5x -6 dx = 5x^2/2 -
6x

==> Y(3) = (5/2)*9 - 18 = (45-36)/2 =
9/2

==> Y(2) = (5/2)*4 - 12 = 10 - 12 =
-2

==> y(3) - y(2) = 4.5 + 2 = 6.5 =
13/2

Then the area between the line and the curve is
:

A = A2 - A1 = 13/2 - 19/3 =
0.166666

Then the ares is given by 0.16666 square
units.

Describe why Dr. Chumley could be seen as a character of comedy in Harvey.

Chumley can be seen as a character of comedy because he rejects
or goes against what he initially believed. When first introduced to Elwood, Chumley demonstrates
a certainty in his own beliefs and that Elwood is insane. Yet, over time, Chumley begins to
demonstrate a weakness in his own condition and his life. This manifests itself more and more
throughout the drama and Chumley seems to be more in a state of delusion that Ellwood could ever
be. The construction of the life in Akron and the woman who says, ‘‘Poor thing! Oh, you poor,
poor thing!’’ represents comedy because it is an abdication of what the doctor used to believe.
It is evident at the end of the play that Chumley has become a comic figure in that he no longer
represents the characterization he demonstrated at the start of the drama. This is comedy because
it shows a desire for harmony and unity that was not entirely present at the start of the drama.
The vision that Chumley seems to embrace at the end of the drama is one where time can stop and
where a life that is not the one he lives is one that can be embraced. This is comic in its
aspirations and hope.

In Persuasion by Jane Austen, what makes his friendship with Lady Russell and Mrs. Clay different in Sir Walter's eyes?

Sir Walter Elliot has had a long and steady friendship with
Lady Russell that dates back to his wife's lifetime. Indeed, Lady
Russell was the particular friend of Lady Elliott and through that friendship was introduced to
Sir Walter. It is this association that plays a part in how he views his friendship with Lady
Russell.

Firstly, he respects and admires her for having been the
friend of his good and sensible wife. Secondly, when he lost his wife, Lady Russell stepped up to
fill the gap of level-headed adviser. Thirdly, Sir Walter was determined never to remarry (after
having been rejected once or twice) and so leave his estate undivided and intact for his
daughters, especially Elizabeth:

readability="8">

Sir Walter, ... (having met with one or two private
disappointments in very unreasonable applications), prided himself on remaining single for his
dear daughters' sake.

Therefore,
though society thought it an inevitability, Sir Walter kept--and was encouraged to keep--his
emotional distance from Lady Russell, with both parties acting for the sake of his
daughters.

Thirteen
years had passed away since Lady Elliot's death, and they were still near neighbours and intimate
friends, and one remained a widower, the other a
widow.

When Sir Walter associates with
Mrs. Clay, circumstances are different altogether (and he has
forgotten his one or two early rejections). His two still unwed daughters are situated in a new
social circle and may have renewed prospects for marriage offers, perhaps even from the coveted
cousin William Elliot. Sir Walter has all of Lady Russell's good counsel no matter whatever else
occurs because she is and will remain faithful in discharging her obligation to fulfill Lady
Elliot's dying request to look after them all.

In addition, Mrs.
Clay is a very different sort of woman from Lady Russell. For one thing, she can talk such
silliness as carrying on a discussion about the efficacious (good) effects of Gowland face
lotion, a favorite topic of Sir Walter's. She is a flatterer and can make herself agreeable by
flattering Sir Walter's vanity. Furthermore, she is very interested in receiving a marriage offer
that she would not reject--unless someone better asks her first.

In
summary, his two friendships with Lady Russell and Mrs. Clay are
seen by Sir Walter as being very different because (1) Lady Russell is superior to him and
advising him while Mrs. Clay is inferior and flattering him; (2) Lady Russell is sensible and
tries to make him be sensible while Mrs. Clay is as silly (though conniving) as he is; (3) Lady
Russell isn't interested in marriage to him while Mrs. Clay decidedly is
interested.

There was
one point which Anne, ... would have been more thankful to ascertain ... which was [of] her
father's not being in love with Mrs Clay; and she was very far from easy about it
....

How did people cope with the problems they faced during the Depression?

First of all, you should realize that there may be a
specific answer in your text that you are supposed to give.  This is a very broad
question and different texts may well answer it in different
ways.

The general problem many (but by no means all) people
had during the Depression was poverty.  There were few jobs and so many were poor. 
There were various ways of trying to cope.

For example,
many people tried moving to find work.  The Okies were a major example of this as were
hoboes.  Other people turned to whatever family members might be well-off enough to have
a job.  Family history in my family says that my great aunt who was a teacher in
Cincinnati sent money back to Idaho to help her parents who had a
farm.

You can also talk about how people tried to cope
through entertainment.  Movies were very popular in the Depression and they tended to be
extravaganzas that were meant to wow the people and make them forget their
problems.

Again, there are many ways to answer
this...

Demonstrate if (1-x1)(1-x2)(1-x3)(1-x4)=5 if x1,x2,x3,x4 are roots of the equation x^4 + x^3 + x^2 + x +1 =0

If x^4+x^3+x^2+x+1 = 0.To show that
(1-x1)(1-x2)(1-x3)1-x4) = 5,

Where x1,x2,x3 and x4 are the
roots of the
equation.

Proof.

If  f(x) =
ax^n+a1x^n-1 +a3x^-3 +....+an-*x+an = 0 has the roots  x1,x2,x3,..and xn,
then

f(x) = x^n +a1x^-1+a2x^(n-2)+....an-1*x+an =
(x-x1)(x-x2)(x-x3)...(x-xn) is identity.

So in this
case case, x^4+x^3+x^2+x+1 =
(x-x1)(x-x2)(x-x3)(x-x4)...........(1).

Since above
equation is an identity, we put x= 1 on both
sides:

1^4+1^3+1^2+1^1+1 =
(1-x1)(1-x2)(1-x3)(1-x4)

5 = (1-x1)(1-x2)(1-x3)(1-x4) which
estabilses the proof for the enunciation.

Layers being peeled off to reveal nothing or a seed that is bringing forth new life. How do you bring the two ideas together for your students?

Both are fairly powerful elements.  I think that both
metaphors have meaning and relevancy in the classroom.  I do believe that there might
need to be a level of clarification needed in both quotes though.  I think that the idea
of layers being peeled to reveal nothing lacks the essence of what students are.  The
peeling of layers helps to reveal the nature of the student and allows the teacher to
better understand how they approach learning and how to teach the student.  Seeing their
essence might also help the teacher reflexively understand how they, as the instructor,
learn.  I am not sure that there is a "nothing" there.  The idea of a seed bringing
forth new life is also a great metaphor, but it carries with it the implication that
some seed does not grow.  In the end, I am not sure any educator could afford to say
this in the classroom.  We know this reality and confront it, yet we never acquiesce to
it and I think that this is where we are.  In critiquing both, perhaps both ideas can be
reconciled in the modern classroom setting.

Solve the inequality 10 l 10n - 8 l

The first step is to simplify the given expression,
dividing it by 10 both sides:

10|10n -
8|<80

|10n -
8|<8

Now, we'll discuss the absolute value of the
expression 10n - 8:

Case 1) 10n - 8 for 10n -
8>=0

10n>=8

n>=8/10

n>=4/5

We'll
solve the inequality:

10n - 8 <
8

10n < 16

n <
16/10

n <
1.6

The interval of admissisble value of n,
for this situation,  is [4/5 , 1.6).

Case 2)
8 - 10,  for 10n -
8<0

n<4/5

We'll
solve the inequality:

8 - 10n <
8

-10n < 0

10n >
0

n >
0

The interval of admissible values for n,
for this case, is (0 , 4/5).

How would you describe Macbeth's state of mind as he makes his way to Duncan's chambers in Act 2 Scene 1 of Macbeth?

As Macbeth makes his way to Duncan's chamber in Act 2 Scene 1 of
Macbeth, he feels anxious about going through with the murder. He imagines
that he sees a dagger, and he knows that the image is simply a hallucination caused by his own
fear, guilt, desire, and ambition. He says that the dagger is a result of his "heat oppressed
brain," and here the audience understands that Macbeth is experiencing extreme anxiety. He is
still a bit unsure of whether or not he should actually go through with the murder, and he
considers that if he allows Duncan to live, then his dreams of becoming the king will not come
true. When he hears the bell that has been rung by Lady Macbeth, he puts his fears and doubts
aside and goes ahead with the murder.

Find the derivative of (x^2+1) ^3(x-1) ^2.

Here we have to find the derivative of [(x^2+1) ^3]*[(x-1)
^2]

Let’s use the product rule
first.

=> (x^2 +1) ^3 * d/dx(x-1) ^2 + d/dx ((x^2+1)
^3)*(x-1) ^2

Now we use the product rule for the individual
terms

d/dx(x-1) ^2 = 2 (x-1) *1 =
2(x-1)

d/dx (x^2+1) ^3 = 3(x^2+1) ^2 * 2x = 6x(x^2+1)
^2

So we get

(x^2 +1)^3 *
d/dx(x-1) ^2 + d/dx ((x^2+1) ^3)*(x-1) ^2

=> (x^2
+1) ^3 * 2(x-1) + 6x(x^2+1) ^2*(x-1) ^2

Simplifying
now

=> 2(x-1) (x^2+1) ^3 + 6x (x-1) ^2 (x^2+1)
^2

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

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

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

Therefore we finally get 2(x^2
+1) ^2 (x-1) [4x^2-3x+1]

Set f(x)=2x^3-3x^2-1 show that the equation f(x)=0 has a root between 1 and 2

You may evaluate the function at `x = 1` and `x = 2` and
then you need to check if the product `f(1)*f(2)<0` , such
that:

`f(1) = 2*1^3 - 3*1^2 - 1 => f(1) = 2 - 3 - 1
= -2 < 0`

`f(2) = 2*2^3 - 3*2^2 - 1 => f(2)
= 16 - 12 - 1 = 3 > 0`

You may evaluate the product
`f(1)*f(2)` such that:

`f(1)*f(2) = -2*3 = -6 < 0`

Since the given function is continuous, you
may notice that the values of the function at `x = 1` and `x = 2 ` proves that the
function passes through 0 for `x in (1,2)` , hence, the equation `2x^3 - 3x^2 - 1 = 0`
has a root `x in (1,2).`

what is a basic visual desription of Tom Robinson in To Kill A Mockingbird?

From the text:

"Tom was
twenty-five years of age; he was married with three children; he had been in trouble
with the law before: he once received thirty days for disorderly conduct." -  Chapter
19

"Tom was a black-velvet Negro, not shiny, but soft black
velvet. The whites of his eyes shone in his face, and when he spoke we saw flashes of
his teeth. If he had been whole, he would have been a fine specimen of a man."
- chapter 19

He also has one useless
arm.

"Thomas Robinson reached around, ran his fingers under
his left arm and lifted it. He guided his arm to the Bible and his rubber-like left hand
sought contact with the black binding. As he raised his right hand, the useless one
slipped off the Bible and hit the clerk’s table." Chapter
19

I have provided a link to the text below and you can
search the text for keywords through your browser. Hope this
helps.

Which of the following types of genetic illness will not be passed on from a father to his male offspring?Autosomal dominant Autosomal recessive...

Autosomal dominant and recessive are mutations that occur
on any chromosome, not just the X and Y sex chromosomes. Autosomal dominant genetic
illnesses just need one copy of the defective gene to be afflicted. There are no
carriers of autosomal dominant diseases.

Autosomal
recessive requires two copies of the defect to affect the individual. Persons with one
copy of the defective gene typically do not suffer the effects of the defect but are
carriers, meaning they can pass on the defective gene to their offspring. Males and
female offspring are affected equally by autosomal
defects.

X-linked genetic disorders occur on the X sex
gene. Males (XY) pass on their Y chromosome to their sons and their X chromosomes to
their daughters. Once again dominant means only one copy of the genetic defect is needed
to affect the individual, making the daughter of an affected male affected as well.
X-linked recessive requires two copies of the defective chromosome, making the daughter
of an affected male a carrier unless she inherits the same X-linked defect from her
mother's X chromosome. Because males do not pass on X-linked chromosomes to their sons,
this type of genetic illness (X-linked recessive and dominant) cannot be passed on to
male offspring.

Because a male parent only passes on their
Y chromosome to their male offspring, a defect of a y-linked chromosome would result in
an affected male offspring.

While males have mitochondrial
DNA, only female pass that DNA onto their offspring. A male with a genetic disorder
linked to mitochondrial DNA would not pass the disorder onto his male child because he
does not pass on any mitochondrial DNA to his offspring.

In Bridge to Terabithia, why was Miss Edmonds pleased that Jesse had never been to an art gallery？

We are given the answer to this question in Chapter 10,
when Miss Edmonds picks Jesse up and they drive to the art gallery together. We need to
remember though that Miss Edmonds has been the only adult to identify and encourage
Jesse's artistic talent. She is the one person who has really sought to show Jesse that
his talent his something special and to try to communicate to him that this is a gift.
It is clear that Jesse's family are too wrapped up in their own problems to really
notice Jesse's gift. Therefore, when they are in the car together, Miss Edmonds asks
Jesse if he has been to a gallery before, and when he replies in the negative, she says
something very revealing:

readability="6">

"Great," she said. "My life has been worthwhile
after all."

For a teacher
like Miss Edmonds who entered the profession precisely because she wanted to nurture
talent and characters like Jesse, having the opportunity to take somebody like Jesse,
who clearly is a gifted artist, to a gallery gives her immense satisfaction. This is why
she is so pleased that Jesse hasn't been to a gallery, so that she can be the one to
introduce him to all of these great artists and paintings.

In "The Great Debaters," explain what was hoped to be gained from Professor Tolson's reading to the incoming freshman class?

Tolson's opening line to his students in his freshman
debate class were from Hughes' poem, "I, Too."  The essence of the poem is to challenge
Whitman's assertion made in "I Sing of America."  The poem speaks to a condition of the
denial of voice by social reality.  In reciting this to his students as their opening
into college, the freshman students are made to understand the role that racial identity
and that color play in their consciousness and existence.  Professor Tolson is
deliberate in wanting his students to think and critically reflect about their place in
society as people of color.  Tolson wants them to question this position, seek to change
it, and alter a competing notion of the good.  The poem suggest this, and Tolson's role
as the debate coach provides an excellent opportunity to converge both realities into a
moment that causes his students to ponder and ruminate on what the poem says and how
their own lives reflect it.

In Chopin's "Desiree's Baby," why had Armand's mother never left France?

At the end of "Desiree's Baby," Armand discovers a letter from
his mother to his father. She writes,

readability="10">

"But above all . . . night and day, I thank the good God
for having so arranged our lives that our dear Armand will never know that his mother, who adores
him, belongs to the race that is cursed with the brand of
slavery."

From the letter, Armand
realizes that his mother is part black and that he has expelled his wife and child from his home
for something that is connected to him, not to Desiree. Armand's reason for forcing Desiree to
leave would have been socially acceptable during the pre-Civil War time period--a truth that his
mother had realized and taken precautions against. This is why she chose to live in France, a
more forward-thinking country at that time, where she and Armand's father could maintain their
relationship in peace; for in the United States, mixed-race marriages were not simply socially
unacceptable, they were dangerous and illegal for their
participants.  

Compare the two-party political system of the 1830s' New Democracy.(similarities and differences) to the first two-party system of the early Republic.

The history of political parties in the U.S. is an
interesting one. The two party system in the U.S. began in the 1790’s.  The two parties
were the Democratic-Republicans led by Thomas Jefferson and the Federalists led by
Alexander Hamilton.  This first party system began to end after the War of 1812.  Most
Americans perceived the end of this war as an American victory, and thus began the Era
of Good Feelings, which was a time of very little partisanship in the government.  The
Federalist Party began its decline when James Monroe defeated the Federalist candidate
in 1816.  The following election in 1820 spelled the end of the Federalist Party when
Monroe faced no real opposition in his reelection.

The
bitter election of 1824 meant the end of the Era of Good Feelings. Four
Democratic-Republicans ran for president, Andrew Jackson, John Quincy Adams, Henry Clay,
and William H. Crawford.  No one received a majority of electoral votes so the election
was decided by the House of Representatives. The House chose John Quincy Adams as
president even though Andrew Jackson received more popular votes and electoral votes
than any other candidate.  Jackson and his supporters claimed that there was a “corrupt
bargain” with the election of Adams by the House of Representatives. This bitter
election spelled the end of the Democratic-Republican Party.  Those
Democratic-Republicans who supported the ideals of Jefferson, led by Andrew Jackson and
Martin Van Buren, began the Democratic Party.   Those who followed John Quincy Adams,
including many former Federalists, began calling themselves National Republicans.  In
the election of 1828, Adams ran against Jackson as a National Republican.  After Henry
Clay was defeated in 1832 when he ran as a National Republican, the Whig Party emerged
as a coalition of National Republicans, Anti-Masons, disaffected Jackson supporters, and
old Federalists.

The Whig Party, which did consist of old
Federalists, was similar to the Federalist Party. Like the Federalists, they believed in
a more modern country which included internal improvements, national unity, a national
bank, and domestic manufacturing.  Jackson’s Democrats were more similar to Jefferson’s
Democratic-Republicans. Like Jefferson, Jackson opposed the national bank.  He was
against internal improvements, and supported a more truly equal democracy and state
power.

Give examples at least six differences in the setting between Heart of Darkness by J. Conrad and Apocalypse Now by F. Copola

Well, the central and most obvious feature about setting
that you will want to compare is that the novel is set (mostly) in Africa during
colonialism, whereas the film is set in Vietnam during the war. The rest of the
differences in setting extend from this central fact. However, what is important to
realise and to comment upon is that, actually, F. Coppola made an excellent choice in
terms of picking the Vietnam war as a backdrop to the action of the novel. He uses this
setting to comment on the often surreal madness that dominates during the Vietnam war.
One of my favourite scenes is the playboy scene when three girls are brought to dance
for the troops and entertain them. This is one of the most surreal scenes of the entire
movie.

Other differences you might want to think about are
the settings before the Marlows embark on their trips - in the novel Marlow is in Europe
and we see colonialism from its "respectable" side in terms of the Company offices. In
Vietnam Marlow is in army-owned territory and likewise we see the American army from the
inside as he is given a briefing meeting from top Military officers concerning his
mission.

Mohammad's height is 169cm and Fatima's 'ht. is 156cm.The frame sizes of their bikes are in the same ratio as their hts.The frame size of...

Let Mohammed's height be Mb =
169

And let Fatima's height be Fh =
156

Also, given Mohammeds bike (Mb) =
52

Then have the same ration for their
bikes:

==> we will rewrite:

Mh =
169   ==>   Mb = 52

Fh = 156  ==>    Fb =
?

Now since they have the same ratio, then we will cross
multiply:

==> 169*Fb = 52*
156

==> Fb = 52*156/
169

==> Fb =
48

Then Fatima's bike height is
48

Prove that the line d is parallel to the plane P if the equation of the plane is 2x+3y+z-1=0.The parametric equations of the line are x=1+2t,...

The line d is parallel to the plane P, if and only if the
vector parallel to the line, v, and the vector perpendicular to the plane P, n, are
perpendicular.

Two vectors are perpendicular if and only if
their dor product is zero:

v*n =
0

Since the equation of the plane P is given, we'll
identify the parametric coefficients of the normal vector to the plane,
n.

2x+3y+z-1=0, where n(2 , 3 ,
1)

We'll write n = 2i + 3j +
k

Since the position vector of the line d
is:

r = r0 + t*v

We'll write
the parametric equations of d:

x = x0 +
t*vx

y = y0 + t*vy

z = z0 +
t*vz

Comparing the given parametric equations and the
general parametric equations, we'll identify the parametric coefficients of the vector
v:

x=1+2t

y=2-3t

z=5t

v
(2 , -3 , 5)

v = 2i - 3j +
5k

Now, we'll write the dot product of n and
v:

n*v = 2*2 + 3*(-3) + 1*5

If
n*v = 0, the line d is parallel to the plane P.

n*v = 4 - 9
+ 5

n*v =
0

Since n*v = 0, the given line is parallel
to the plane P.

In what ways do the alternating naratives between past and present in Jodi Picoult's novel Nineteen Minutes enhance the story?

Jodi Picoult's novel are known for innovative twists and unusual
deliveries. Nineteen Minutes is no exception. The issue here is the bouncing
back and forth from past to present. This accomplishes a couple of
things.

The first thing this accomplishes is it keeps the reader on
his or her toes. Sometimes, spending the entire story in the present tense, readers have a
tendency to become complacent in the reading of the novel. We know what to expect, and our
attention can relax. Jumping back and forth, keeps the reader's mind
involved.

The second thing this does is establishes a means of
successfully fulfilling her goal with the novel. From very early on in the novel, we know the
fatalistic outcome. We also know that the protagonist's daughter is going to be swept up in this
fatalistic outcome. Switching back and forth creates a more sympathetic audience for the
conclusion as we can almost understand the progression of the tragedy.

Where/when does Pip experience redemption in Great Expectations? Charles Dickens's Great Expectations

In the classic Dickens novel, Great
Expectations, Pip redeems himself when he ceases to be selfish. Having
rejected Joe because he was "coarse," Pip avoids visiting the forge, staying at the Blue
Boar Inn whenever he visits Estella.  He prefers the company of Herbert and the other
gentlemen of London, while also aspiring to attain the love of what he perceives his
young lady of fortune, Estella.  In Chapter 40, Magwitch, who goes by Provis and risks
his life by coming to London to visit Pip, embarrasses Pip by his arrival.  Repulsed by
his crude manners and the idea that he, rather than Miss Havisham, is his benefactor,
Pip strives to rid himself of the old convict.  However, when he and Herbert try to
effect Provis's escape onto a ship, Provis is mortally injured.  At this point, Pip
feels pity for the old man who has had such an unfortunate past.  So, he tends him and
consoles Provis in his final moments, praying at the end for his
soul.

In another unselfish act in Chapter 49, Pip first
forgives Miss Havisham for her cruel exploitation of him as one on whom Estella has
practiced Miss Havisham's revenge upon the male race.  Later as he returns to her
quarters, he rescues the pathetic woman who has sat too close to the fire.  Pip is
burned in his efforts--a cleansing by fire, so to speak.  Coming to aid the injured and
sick Pip is his old friend, Joe Gargery.  When he comes to himself, Pip begs Joe to
forgive him for his rejection.  Of course, Joe heartily replies, "Ever the best of
friends, Pip, old chap."  Clearly, Pip's unselfish attempts to save both Provis/Magwitch
and Miss Havisham are redemptive actions.

In the novel Oryx and Crake, discuss how advancing in technology may/will lead to the downfall of society.

This novel, as with the majority of Atwood's dystopian novels,
certainly has something very profound to say about the possible future we face based on where we
are now. Atwood presents us with a terrifying world where scientific advances have led to
horrific blending or splicing of genes, and thus the creation of new species. In addition,
science has advanced so far that it is possible to create a virus that is capable of wiping out
humanity. Although in the novel the end of humanity is achieved as part of a deliberate,
calculated plan by Crake to wipe out humanity and replace it with his own race, we are presented
with an incredibly unstable world where scientific advances are rapidly outstripping morals and
values, and where one simple mistake could easily unleash a number of issues or problems on the
world. Atwood paints a very bleak picture of our future and points towards the dangers of rampant
scientific advances without a secure framework.

How can Moby Dick be considered as a work that bears similarities to legends and myths?Herman Melville's Moby Dick

With its masterful drama of life on the seas, Herman
Melville's Moby Dick has certainly emerged as one of the great
poetic epics of world literature. The voyage of the Pequod on which
the crew and its captain seem destined for a disastrous fate, truly seems epic, much
like an odyssey of its own. Moby Dick possesses the following elements of the
epic:

1. long
   narrative


2. formal
   style - As Ahab sees the dying whale turn sunward he comments, "He too
   worships fire; most faithful, broad, baronial vassal of the sun!  Oh that these
   too-favoring eyes should see these too-favoring sights."
   


3. serious subject - Ahab
   seeks the great white whale as a cosmic force.  He states in Chapter 36 that all
   "visible objects...are but as pasteboard masks" behind which lie metaphysical answers. 
   There is an entire chapter devoted to "whiteness" and its significance in representing
   the unnatural and evil.


4. central figure is
   quasi-divine - While Ahab may be the antithesis of divine, there is a
   preternatural quality to him that makes him more than a mere mortal.  His physical
   appearance, his charisma as he elicits the support of the crew to hunt the whale
   indicate his powers above the ordinary. actions of the central figure determine the fate
   of all.

In addition, Moby Dick contains the
qualities of a literary epic:

1. main
   character/hero is of cosmic importance - On the world of the sea, the
   captain is god; Ahab certainly lords over all, even the harpooners.  He sets the course
   for the lives of the others.


2. setting is
   huge, and may involve a great deal of travel - Ahab maps out the route of
   the great whale, and the crew travels all the way to the Japanese
   seas.


3. action involves battle and superhuman
   deeds - The attempt to capture and kill Moby Dick is epic in proportion. 
   The harpooners do, indeed, perform deeds above the ordinary.  While caught in the ropes,
   Ahab yet continues to try to kill the giant
   whale.


4. supernatural being takes an interest
   and even a part in the action - At different points in the hunt, Melville
   describes the whale as though it intends to kill the crew and do evil.  It is "a
   malicious being."


5. the action is written in
   a style apart from the ordinary - There is a dramatic form used in the
   description of the scene in which the candles erupt from the main masts during the
   typhoon.  The sermons of Father Mapple and Ishmael's lectures on the high calling of
   whaling are elevated forms.  Throughout the novel, Melville imparts a special intensity
   to many of his words.  For instance, he uses words of tone:  wildness, moodiness,
   mystical, malicious.  Melville also creates "verbal nouns" as in the words of Ahab who
   says that the whale "tasks me, he heaps
   me."

What are the usual/common themes in an epic?

An epic is normally defined as a long narrative poem about
the exploits of a national hero. Epics carry a culture's history, values, myths,
legends, and traditions from one generation to the next. There are certainly many works
of literature that are considered epics, such as Gilgamesh,
Beowulf, The Illiad, The
Odyssey and Sundiata. They all share the following
characteristics:

1) They take the form of a long narrative
poem about a quest, told in formal, elevated language.

2)
They narrate the exploits of a larger-than-life hero who embodies the values of a
particular culture

3) They begin with a statement of
subject and theme, and, sometimes, a prayer to a deity

4)
They deal with events on a large or "epic" scale

5) They
use many of the conventions or oral storytelling, such as repetition, sound effects,
figures of speech, and stock epithets

6) They often include
gods and goddesses as characters

7) They mix myth, legend
and history

Epics are well worth reading as they contain
excellent adventures but also are valuable cultural gems that act as great teachers of a
given society's values and core beliefs.

How is Napoleon ruthless??

He is ruthless in a way that he eliminates any opposition,
any dissidents to his rule which might bring him harm as he consolidates his power. He
is a ruthless dictator and he only cares about his own power and comfort. To achieve all
this, he resulted by mass murder, starvation and also the re-writing of history to turn
Snowball, who was a hero into a public villain, despised by many. He degenerated into a
senseless monster by killing Boxer, who was injured by then, for profit by sending him
to a slaughter factory in exchange of a few bottles of whiskey. From this, we can see he
is a heartless beast who does not care about anybody, only if it suited his own
interest. His rule of terror brought widespread suffering and fear amongst the animals
in the farm.

What is Ethan's house like?

We get more impressions of decay and darkness from the
mood of the story than from actual description when learning about the state of the home
of Ethan Frome.

We know already that he is poor, so we can
assume as readers that the place was modest, and small. We also know that Frome is
unhappy, and that Zeena, his wife, is depressing and ill all the time. From this, we can
gather than the place is not the jolliest in the world.

We
know that

"The
shutter-less windows were dark"

A dead cucumber-vine
dangled from the porch like the crape streamer tied to the door for a
death.

Therefore, Ethan's
house is sort of a reflection of the state of mind of the inhabitants: Desolate, sad,
depressive.

The house's windows lacked shutters. This may
be significant because it means that Ethan gets to always stare out at the world outside
while being trapped inside with Zeena. Having no shutters means that he has to face the
world daily, and compare the world outside to the sad situation
inside.

Does E.M Forster see any possibility of uniting the East with the West in the characters of Aziz and Fielding ?

I believe Forster intends to imply in this novel that the
culture clash between the Indians and the British can only be overcome on a personal
level through friendships. Fielding and Aziz both want to be friends, but Aziz believes
they cannot be friends until the English are no longer in his country. Fielding does not
agree, but he is British. The culture clashes in this novel are most pronounced among
characters that are not really interested in making friends in India (Adela, Ronnie,
etc.), but among the characters that are more sensitive to cultural differences  (Mrs.
Moore, Fielding, Godbole), there are opportunities to come together and overcome the
cultural differences. The evils of colonialism, however, seem to be overwhelming forces
that Forster, at the end of the novel, implies may be too great to erase decades of
ethnocentric behavior on the part of the British and the Indians and perhaps even good
friendships are not strong enough to bridge the gap.

Differentiate the function.

This is a composed function and we'll differentiate from
the last function to the first.

We'll re-write the
function:

f(x) = (ln
x)^1/9

The last function is the power function and the
first function is the logarithmic function.

The function
f(x) is the result of composition between u(x) = u^1/9 and v(x) = ln
x

u(v(x)) = (lnx)^1/9

u'(x) =
(u^1/9)' = (1/9)*u^(1/9 - 1)

u'(x)
=  (1/9)*u^(1-9)/9

u'(x) =
1/9*u^8/9

v'(x) = (ln x)' =
1/x

[u(v(x))]' = 1/9x*(ln
x)^8/9

We'll use the power property of
logarithms:

a*ln b = ln
(b^a)

f'(x) = 1/(ln
x)^8*9x/9

We'll simplify and we'll
get:

f'(x) = 1/(ln
x)^8x/9

In Fahrenheit 451 Montag has caught the "dis-ease." What are his symptoms?

Bradbury has purposely separated the word into two parts. 
Dis- is a prefix meaning "not" and ease is a word meaning "comfort" (Webster's New World
Dictionary).  He and Clarisse had been meeting every day on his way to work for a week. 
When she was suddenly no longer there, he didn't know what was wrong but he was "not
comfortable" with the situation.  "Something was the matter, his routine had been
disturbed." pg. 32 .  He felt a loss. He found himself looking for her on the street, in
the trees, and on the lawn. He almost retraced his steps on the way to work so that he
could meet her again.  Later in the book, (pg 78) Montag thinks "I'm numb, he thought. 
When did the numbness really begin in my face?  In my body. The night I kicked the pill
bottle in the dark, like kicking a buried mine."  That was the night he met Clarisse. 
When he is on the run, Faber tells him that he did what he had to do and that it had
been coming on for a long time.  Montag agrees stating that 'I went around doing one
thing and feeling another.  God, it was all there.  It's a wonder it didn't show on me,
like fat" (pg 131). But it did show on him.  That is how Beatty noticed it, and the
Hound sniffed it out.  

In "The Devil and Tom Walker", what details refer to the devil's special dealings in the new world?

It would have helped if you'd referred to "The Devil and
Tom Walker".  However, the eagle-eyed Sherlock Holmes figured it
out.

Notice when this story is set: 1727, almost 50 years
before the Declaration of Independence, when America was pretty much wilderness,
inhabited by Indians and possibly anything else you wanted to imagine.  This was the
"New World", named so after Columbus and others discovered this unsuspected land across
the sea.

This should give you a hint on how to find
mentions of the Devil's dealings in the new world.

But the
question, as you posed it, is about "special dealings" in the new
world.

Irving's devil was not quite the same character as
the Devil of the old world (Europe), and Irving altered some European stories to suit
his purpose.  Perhaps the "special dealiings" were the ones Irving made
up?

See the reference link below for more
information.

In A Connecticut Yankee at King Arthur's Court, what does Clarence suggest should make up the royal family of Morgan's new republic?

It is towards the end of this tale that we find the answer to
your question and Clarence reveals his plans for the royal family of the new republic Hank wishes
to form. Initially, he wishes to have a royal family made up of humans, however, when Hank tells
him that "kings were dangerous," Clarence suggests that they should have a royal family of cats.
We can see Twain's typical satirical reasoning coming through in his
reasoning:

He was sure
that a royal family of cats would answer every purpose. They would be useful as well as any other
royal family, they would know as much, they would have the same virtues and the same treacheries,
the same disposition to get up shindies with other royal cats, they would be laughably vain and
absurd and never know it, they would be wholly inexpensive, finally, they would have as sound a
divine right as any other royal house, and "Tom VII., or Tom XI., or Tom XIV by the grace of God
King," would sound as well as it would when applied to the ordinary royal tom-cat with tights
on.

His reasoning continues, but you
can get an idea of his thoughts and why he thinks this would be an admirable solution to the
problem of having human kings. We see here Twain's satirical view of the Royal Family, its
function, purpose and character, which asks serious questions about its use in a comic
fashion.

In The Adventures of Huckleberry Finn where did Huckleberry take refuge after escaping from from his father's captivity?

In chapter 7 of Mark Twain's The Adventures of
Huckleberry Finn, while hunting with Pap, Huckleberry hides an abandoned canoe and
also retrieves a raft from the river. This Pap takes to town to sell after having locked
Huckleberry in the cabin as he was accustomed to do. But the boy, having earlier begun to saw
through the logs of the cabin completes his work, escapes, leaves a clever subterfuge to convince
his father that he has been murdered by robbers, and takes the canoe downstream to Jackson's
Island, an apparently deserted stretch of land in the middle of the Mississippi. There, a few
days later he stumbles upon Jim, Miss Watson's runaway slave; it is from Jackson's Island that
Jim and Huckleberry begin their odyssey down the river.

When
Huckleberry reaches the "free world" of Jackson's Island, he believes he has found his true
destiny. With his staged death behind him, and disentangled from the Widow Douglas' "sivilized"
domesticity, Huck anticipates a new existense in a transformed world: "But the next day I was
exploring around down through the Island. I was boss of it; it all belonged to me, so to say, and
I wanted to know all about it." Located in the unspoken meaning at the margin of Twain's text,
the reader finds Huck unconsciously embracing the bedrock American dream of creating a new world
free of the dilemmas through which Huck has had to make his odyssey.

Provide a character analysis of Margaret, who is also called Gretchen, in Goethe's Faust Parts I and II.

The heroine of Goethe's Faust Part I is
Margaret, the diminutive for whom is Gretchen (i.e., diminutive: an affectionate family or
shortened name). Margaret is a heroine in the Romantic period style of heroines, meaning that she
has a tragic life and end. When she happens to encounter Faust after she leaves church one day,
she is a moral, innocent, honest, hard-working, and devoted daughter. After her association with
Faust, she is hung on the gallows.

Margaret is a devout Christian
who has every expectation of a moral and contented life and future marriage. She is an innocent,
yet not overly naive as she and the other village girls have their fair share of gossip around
the well as they work. In addition, she has an experienced, hardened neighbor who doesn't
hesitate to give Margaret a clear picture of the ways of life. Further, she has no vain pretense
to being or aspiring to something grander than she is, as she says to Faust, "I am no lady, am
not fair, / Can without escort home repair." This means that she is neither a refined lady nor
pampered and thus quite capable of and used to walking through the streets on her own without the
attention of a male escort to see her safely home.

With the guidance
of Mephistopheles, Faust tricks and bribes Margaret, whom we too may call Gretchen, into thinking
that he loves her and, of course, she comes to love him. This of course is all part of Mephisto's
(his diminutive) plan to ensnare Faust and win the wager by presenting Faust with that moment
which will cause him to cry out, "Linger awhile! so fair thou
art!"

As Mephisto and Faust work their guile and trickery upon
Gretchen, she responds favorably to Faust's requests, even though they are against her beliefs,
because she loves him and (blindly) trusts him. As a result, she accepts gifts, gives her mother
a "sleeping" potion from which her mother never awakens, and yields to Faust's lusts thereafter
finding herself impregnated. Gretchen is abandoned by Faust. Her sacrifices of moral and
religious conscience are wasted because he will not make the results right by marrying her. She
is now not only a traitor to her beliefs, her God, and herself, she is forsaken, shamed, guilty,
and alone.

It isn't clearly revealed what happens to Gretchen's
baby. Did the baby accidentally drown while Gretchen, in her emotionally distraught and
distracted state, lost her focus and forgot to pay attention? Did Gretchen surrender the infant
to the waters in some frenzied effort to morally cleanse her baby or rid herself of her sin and
burden of grief? Whatever happened, Gretchen is captured, charged, and sentenced to be hung. Even
in the derangement of her emotional and moral pain as she awaits the dawn of the executioner's
day, Gretchen recognizes her own moral guilt and forgives Faust for his.

Do all Muslims have to follow a Fatwa?

A fatwa refers to an Islamic legal pronouncement, by an
expert in the Islamic religion and its laws, like a Mufti. Fatwas deal with issues where
it is unclear what a true follower should do and stay loyal to the mandates of the
religion. These could include questions like “Can a Muslim be involved in
cloning?”

Though Fatwas, due to the way they have been
treated by the media and also the ignorance of people including those who follow Islam
have come to mean declarations meant to entice people to kill and harm others, this is
not the case.

Also a Fatwa is not binding on any follower.
Any person who follows Islam is free to take his/ her own stand on the issue and act
accordingly.

What is the value for lim x-->2 [ (x^3 -8) / (x^2 -4)]

We see that if x is replced by 2 in (x^3 -8) / (x^2 -4) we
get 0/0 which cannot be determined.

Instead we first
factorize the numerator and denominator and cancel the common terms, this
gives

[ (x^3 -8) / (x^2 -4)]
=>

[ (x-2) ( x^2 + 2x +4) ] / [(x-2) (
x+2)

=> (x^2 +2x +4) /
(x+2)

Now lim x--> 2 [(x^2 +2x +4) /
(x+2)]

=> (2^2 +2*2 + 4) /
(2+2)

=> (4+4+4) / 4 =>
3

Therefore lim x-->2 [ (x^3 -8) /
(x^2 -4)] = 3

In "Ode to My Socks," what is the collective effect this poem has? What is the theme?

The poem celebrates the appreciation of everyday things;
namely those which have practical functions. The narrator is so appreciative that he
acknowledges who made them (a subtle intimation in reference to his more political
poems) and he makes analogies and metaphors that are almost like a child with a new toy
or a new pair of shoes.

Neruda wanted to touch upon things
that are important and significant to common people, so it is part of his overall
political (communist) commitment to, not just common people, but the utility of what
they make with their own hands. He describes the socks as more than ordinary,
magnificent really. He praises them so much to underscore the appreciation of everyday
things (stop and smell the roses) but also in preparation of the turn in the poem where
he notes they are to be used; not just praised as if they were valuable collector's
items or jewels to be encased in glass.

They are doubly
beautiful and good because there are two of them. Easy enough. But they are doubly good
and beautiful because their beauty lies in their utility (goodness); they are good
because they help you stay warm. They have a purpose. In this context, there is more
meaningful beauty in the utility of socks than there is meaningful beauty in the utility
of a golden statue.

How is Oskar Schindler, in the "Schindler's List", a dynamic character?

Schindler is a dynamic character because he is not the
same he is at the start of the narrative.  He has changed over the course of the work.
The values he emphasized at the start of it are not the same he embraces at the end of
it.  The ideas of making money at all costs, generating profit in business, and not
taking a political stand are all repudiated by the end of our association with him.  It
is within this light that Schindler is dynamic, as he changes and demonstrates moments
that serve as epiphanies of self awareness and understanding of one's own identity and
place within the world.  It is this configuration that makes him dynamic.  When we
consider that dynamic characters are one that stretch throughout the course of a work,
Schindler certainly becomes that as he ends up becoming bankrupt after amassing great
wealth.  Yet, his spiritual profit ends up transcending all else, making him a both a
dynamic character and one worthy of our admiration.

In a series in AP if two terms are 18 and 32.How many minimum terms a, b, c… would be required between the two to insure that a, b, c… are unique?

In an AP, the mth and nth terms are given
by:

am = a1+(m-1)d, where a1 is the first term and d is the
common diffrence between the consecutive terms.

an =
a1+(n-1)d.

m is assumed to be less than
m.

The terms between am and an is
n-m.

Therefore , to have  n-m distinct terms between an and
am ,  we should have  the condition: (an-am)/d = n-m -1 , for a particular  common
difference d which should not be zero.

Therefore if  am =
18 and an = 32 and there are r different terms between 18 and
32.

d = (an-am)/(r+1) =
(32-18)/(r+1).

in particular if r = 2, then 2 terms are in
beween 18 and 32. We have only 2 terms between 18 and 32, then d=(32-18)/3 = 14/3 , so
that the between terms are 18+14/3 = 22 2/3. and 18+28/3 = 27
1/3.

If 

What are the different measures of the money supply, and what is the need to have different definitions?

The term money supply is used two related or similar variables
describing the sate of economic condition of an economy or a country. These two different
variables are often represented as M1 and M2.

M1 is a narrowly
defined variables as compared to M2. It refers to the total supply of total coins, paper
currency, and deposits in all demand or checking accounts in banks. Coins and note in bank vaults
and therefore not in circulation are not included in M1. This represents the money that is used
for facilitating the commercial transactions in the economy.

M2 is a
more broadly defined variable. It includes all the items included in M1, plus some additional
items. These are some liquid assets which are not as liquid as the assets in M1, but still play a
part in facilitating economic transactions as these can be converted in the form of M1 assets
quickly and at marginal cost. These include saving accounts, small time deposits and retail money
market mutual funds. Also these are safe form of assets.

We use two
different measures for money supply because the narrow money (M1) can be used for all type of
transactions. Whereas the additional components of broad money (M2) can be used only for some
kinds of transactions. For example we cannot use then for paying for the grocery we buy in a
store.

Some economies also define other measures of money supply.
For example M0 includes only coins and notes, and MB includes M0 plus Federal Reserve Bank
Credit.

Describe the political challenges Roosevelt faced in the mid-1930s.

During the mid-1930s, Franklin Roosevelt faced criticism from
both the right and the left. The right thought that FDR was a socialist who was ruining the
United States. More worrisome to Roosevelt, though, were critics on the left who thought that he
should be doing more to help the working class.

There were three
major figures who challenged FDR in this way. They were Sen. Huey Long (D-LA), Francis Townsend,
and Father Charles Coughlin. The first two of these had fairly radical proposals. Long wanted to
(among other things) confiscate the fortunes of rich people and give every family in the US a
guaranteed income. Townsend wanted to give pensions to all Americans over 60 with the requirement
that they spend the whole of their payment every month (to stimulate
demand).

In response to this sort of pressure, FDR instituted new
programs, the most important of which was Social Security.

With regard to Lewis's "Paradoxes of Time Travel" explain how if time travel were possible, auto-infanticide would be possible.Auto-infanticide is...

    Auto-infanticide, the idea of going back in time and
killing your grandfather works in Lewis' 'Paradoxes of Time Travel,' according to one or
more theories and/or theorems of quantum physics.  The one that comes immediately to
mind is the many-worlds interpretation in which each moment in space-time (or, to be
clear in Lewis' terminology - each moment in the space-time, personal and external),
each moment is a branching point, creating multiple if not infinite paths of events, and
therefore infinite path-worlds, aka, infinite universes where a different set of events
occurs when a single event is changed.  So, the idea is that if one universe were a
movie, each frame could potentially have infinite branches into different universes
(movies); each time a frame is altered or "alters" - to be consistent with Lewis' idea
that each alteration is presently formed with respect to
itself. 

    What is the justification for this?  The
theory of wave-function collapse, is best exemplified by the famous "double-slit"
experiment.  In this experiment, light behaves like a wave; but when it is observed, it
becomes localized like a particle. The analogous theoretical idea here is that, for us,
subjective beings, observe reality as collapsed to one world, when in actuality, it is
spread out in multiple potentials.  From your point of view, your subjective
observation, you can only see or understand one world; ergo, one series of events;
either Tim can kill his grandfather or he can't; since Tim's alive, he
can't.

    In the multiple world interpretation, Tim can,
but this would occur in another world/universe, branching off in
1921. 

    Another famous exposition of this is
Schrodinger's cat; basically, inside a box is radioactive material, poison and a cat. 
The radioactive detector has a 50/50 chance of detecting radioactive material.  If
detected, poison is released and cat dies.  We can only know if the cat lives or dies by
observation.  Without observing, both potentials are equally likely. Thus, observation
would conclude or 'limit' the outcome to one or the other.  In the quantum world,
deterministic and non-deterministic events occur, so each is likely.  Analogously, the
grandfather can be alive or dead, but only one is observable to us.  The other
possibility (alive or dead) must occur in another universe, branched off from our
subjective perception of this One world.

In "The Story of an Hour," how is the (assumed) death of Mrs. Mallard's husband shown to be an act of liberation of female voice and identity?

To answer this question you need to focus on and analyse the
impact of the death of Mr. Mallard on his wife, Mrs. Mallard. After the initial shock of the
news, Mrs. Mallard sits in her room and some kind of realisation or epiphany comes to
her:

When she abandoned
herself a little whispered word escaped her slightly parted lips. She said it over and over under
her breath: "free, free,
free!"

Although she fears this is a
"monstrous joy," she quickly dismisses this idea and we are shown how oppressed and stifled she
was as a woman through her marriage in a patriarchal society. It wasn't that her husband beat her
or deliberately mistreated her, but her new-found situation makes her realise how much she had
not been free:

There
would no be one to live for her during those coming years; she would live for herself. There
would be no powerful will bending hers in that blind persistence with which men and women believe
they have a right to impose a private will upon a
fellow-creature.

It is this discovery
of freedom on the part of Mrs. Mallard that makes this short story so profound in terms of it
being an act of female liberation - Mrs. Mallard comes to see how restrictive marriage is and
begins to look forward to her new stage of life where she can "live for herself" without feeling
subjected to a patriarchal institution. No wonder, then, that having made this discovery, the
sudden return to it should be enough to shock her into death.

Solve the following equation: 1/(x-1) + 1/(x+1) = 18

First, we'll move all terms to one
side:

1/(x-1) + 1/(x+1) - 18 = 0

Now,
we'll calculate the least common denominator for adding the
ratios:

LCD = (x-1)(x+1)

We notice that
the result of the product is the difference of squares:

(x-1)(x+1) 
= x^2 - 1

We'll re-write the
equation:

x + 1 + x - 1 - 18(x^2 - 1) =
0

We'll remove the brackets and we'll combine and eliminate like
terms:

2x - 18x^2 + 18 = 0

We'll divide
by -2 and we'll re-arrange the terms:

9x^2 - x - 9 =
0

We'll apply the quadratic formula:

x1
= [1 + sqrt(1 + 324)]/18

x1 =
(1+5sqrt13)/18

x2 =
(1-5sqrt13)/18

Since the roots are
different from the values 1 and -1, we'll accept them.

Determine the numbers a, b if 3 ,a ,b , 24 is a geometric sequence.

We'll use the theorem of geometric mean of a geometric
sequence.:

a^2 = 3b (1)

b^2
= 24a (2)

We'll raise to square
(1):

a^4 = 9b^2

We'll divide
by 9 both sides:

b^2 = a^4/9
(3)

We'll substitute (3) in
(2):

a^4/9 = 24a

We'll divide
by a:

a^3/9 = 24

We'll cross
multiply and we'll get:

a^3 =
24*9

a^3 = 2^3*3^3

a =
2*3

a =
6

For a = 6, we'll get
b:

b^2 = 24a

b = sqrt
24*6

b =
sqrt144

b =
12

So, for a=6 and b=12, the
terms of the geometric series, whose common ratio is r  =2, are: 3 , 6 , 12 , 24,
....

How can Miller explain the justice in the play?

I think the point that Miller is trying to make is the
fact that justice is lost in this play during that era. Since the United States has had
a Constitution, the ideas of the separation between church and state and the accused
being innocent until proven guilty have reigned in our courtrooms and these
circumstances don't happen. I think Miller used this tale in a cautionary fashion to
remind us that we must be careful in our own accusations of other people. We must
consider if we just believe something to be true or if it really is true. Then, we must
act accordingly.

The only sense of justice I see in this
play is for John Proctor. He had a sincere conviction between right and wrong and did
not want to do wrong but as most humans, he did have moments of error. Elizabeth's
strong last words about John prove that John came full circle as a character. John did
not want to lie to the magistrates in the end just so that John could live. He had
already committed enough sin in his life that made him feel terrible. He wanted to give
the truth and tell the magistrates for sure that he did not have any sort of compact
with the Devil. He did this knowing that the price for the truth was his life. Was this
just? No. But as Elizabeth said, "He have his goodness now." She means at least he died
with a free conscience and in living righteously in death he may be free in the
afterlife.

Is there a paradox in "Facing West from California's Shores?

This poem is characteristic of Whitman in most respects
except that it is short. It lists the countries near the “shores of my Western sea” and
is inclusive of the macrocosm-microcosm habits of his thought. The poem is especially
interesting because it is built on a series of personal paradoxes. The paradox
underlying the poem is that the speaker searches for something but does not find it, but
even if he should find it he would never know his success because he characterizes
himself as a seeker, on a continual quest. Thus the travels westward from our continent
will prove rewarding in themselves, but they will not grant him the fruit of his search.
His search, in short, is more significant for him than reaching his
goal.

What is an introduction to "the role of women" topic as presented by Shakespeare in the play, Hamlet?

I think that this topic would find a great deal of
resonance in Shakespeare's play.  It is evident that "the role of women" topic is
something that has been discussed or distilled in your class and you should probably
integrate the full extent of these ideas throughout your paper, not merely in the
introduction.  I do think that you would probably find much in way of discussion in
Gertrude and Ophelia.  The latter would be an excellent starting point to discuss how
Shakespeare displays women being manipulated from others.  Ophelia is manipulated by her
father and Hamlet, and to a lesser extent, her brother.  She is an individual who
presents her voice to those around her, but is silenced through men's actions.  The fact
that she is the only character who displays her emotions with a sense of authenticity
and essentially receives rebuke for it is something to explore in terms of how women are
treated both in the play and in social settings, in general.  At the same time, Gertrude
receives scorn from Hamlet for making herself happy after the death of her husband.  The
question that might be worthy of exploration here would be if she would have received
the same treatment had it been a man who remarried after his wife had died.  These
valences of gender can help to make a very persuasive analysis about the role of women
as shown in the play.

In Act III, we see that Macbeth and Lady Macbeth are not happy and that their relationship is changing. Discuss.

The two are unhappy for different reasons.  Lady Macbeth
thought that Duncan's murder would be the means to secure all that the couple wanted.
 She had no idea how much the guilt of such a deed would affect her husband and
ultimately her.  She thought a "little water [would] cleanse us of this deed" and that
would be the end of it.  Yet we see in Act 3 that Lady Macbeth is anything but happy.
 In fact she wishes that she were Duncan:  "Tis safer to be what we destroy/ Than by
destruction dwell in doubtful joy."   She has all but lost her husband.  They are no
longer close.  And, I think she wanted Duncan killed so that Macbeth could fulfill his
ambition to be king.  She wanted to help her husband achieve his ambition.  But instead
of making him happy, being king has made Macbeth miserable and therefore Lady Macbeth as
well.

Lady Macbeth is unhappy because she feels alienated
from her husband; Macbeth is miserable because of his guilt.  After killing Duncan, he
is immediately and deeply remorseful. He wishes he could take back the deed.  But in Act
2 he sees no way out of this path that he has taken.  He thinks that since he has lost
his soul in killing Duncan, that more killing is necessary to ensure that he has not
lost his soul in vain.  So he decides to have Banquo and his son killed, since according
to the witches, Banquo's sons will be kings.

But even the
murder of Banquo does not make Macbeth feel "safe."  He realizes that there are many,
including the powerful Macduff, who do not like him and are plotting against him, and he
cannot turn back now:

readability="9">

I am in
blood

Stepped in so far that, should I wade no
more,

Returning were as tedious as go
o'er.

Murdering seems to be
Macbeth's solution to problems, yet the murders prey on his conscience so much that by
Act 5, he feels that his life is nothing "but a walking shadow."

What is the concentration of a solution with a volume of 660 mL that contains 33.4 grams of aluminum acetate?

The concentration of a solution can be written in terms of the
number of moles of the solute that are present in one liter of the solution. This is called the
molar concentration or the molarity.

The volume of the solution is
660 mL and it has 33.4 g of aluminum acetate. The molar mass of aluminum acetate is 204 g/mol.
33.4 grams of aluminum acetate constitutes 33.4/204 moles = 0.1637
moles.

As 660 mL of the solution has 0.1637 moles, 1 liter of the
solution will have 0.1637*(1000/660) = 0.2480 moles.

This gives the
concentration of a solution with a volume of 660 mL that contains 33.4 grams of aluminum acetate
as 0.2480 M

Can someone help me find a photograph that can be described well enough for the readers to picture it in their mind? Help!a photo that you can...

I assume you're looking for a photograph of something real
or even a piece of artwork from which you can do some kind of descriptive writing
assignment.  I'll give you several ideas, but first there are several helpful things to
consider so you can find your own photo or piece of artwork to
describe.

First, choose something that is
somehow familiar.  In other words, something which quickly conjures up a familiar or
stereotypical image in your readers' minds.  For example, if you say it's a picture of a
pair of hands which might belong to an elderly woman like a grandmother, the image is
automatically set.  From there you can be more specific--ring or no ring, shape of the
fingernails, lines and wrinkles, or whatever.

Second, if
you do choose something unfamiliar, describe it in terms of something your readers would
know.  For example, if it's a building most people haven't seen, explain that it's in
the shape of the Eiffel Tower or the Washington Monument, or whatever other recognizable
element we can readily picture.

Third, be as specific as
you can when you draw the literal picture with words. Utilize the senses (how rough, how
smooth, how fragile are those grandmotherly hands, and how tall or what shape and what
texture the building).  Rather than stringing together a series of adjectives ("a large
gray animal with lots of wrinkles" is not as effective as saying "an old, wrinkled
elephant standing majestically, trunk raised in a trumpeting
call"). 

Finally, though this probably should have been
first, choose something that moves you in some way.  If it does,
your description is likely to be much more effective.

Two
works of art which you might consider are Grant Woods's American Gothic
(better known as the "Corn Flakes" picture) and Norman Rockwell's
Freedom From Want (also known as his Thanksgiving painting). Both
of these are easily found on line.  Gothic is a farm couple (a
father and daughter, actually) who has lived a difficult life and it shows on their
faces.  Lots of good descriptive possibilities here.  Freedom is
exactly how the most pure, old-fashioned Thanksgiving at Grandma and Grandpa's house
must have been. 

Whether you choose these kinds of things
or something from your own photo album, make sure it's something real and which inspires
you in some way.  Best of luck!

Explain and list some metaphors and personifications used in the story “Her First Ball" that create a mood and atmosphere of excitement?

Figurative language, such as metaphors which make implied
unusual comparisons between unlike things and personification, which gives inanimate objects
human-like characteristics, lends imaginative description to a narrative as well as
embellishment. In Katherine Mansfield's short story, "Her First Ball" the use of figurative
language helps to suggest the magical feel that the night contains for Leila, who has come to the
city for her first formal dance. With her nearest neighbor being fifteen miles away, the prospect
of being among so many of her age is, indeed, exciting to Leila. Below are some examples of
metaphor and personification which serve so well to create the atmosphere of this
excitement:

Metaphor

"...smoothing
marble-white gloves." [an implied comparison of the gloves to
marble]

"The azaleas
were...pink and white flags streaming
by."

"She was only at the beginning of
everything..." [Leila's experience at the dance is compared to the beginning of
her adult life and all it will include.]

"The lights,
the azaleas, the dresses, the pink faces, the velvet chairs, all became
one beautiful flying wheel. [The lights, etc. are compared to a
"flying
wheel."]

Personification

As
Leila and her cousins travel the road to the ball, "little satin shoes
chased each other like birds." [The shoes are given qualities that
only an animate creature can do with the word
chased.]

"A great quivering jet of gas lighted
the ladies' room. It could'nt wait; it was dancing already. When the
door opened again...it leaped almost to the
ceiling."

"...little quivering colored
flags strung across the ceiling were talking." [animate qualities
are in bold]

"It seemed to her that she had never know what the
night was like before. Up till now it had been dark, silent, beautiful very often--oh, yes--but
mournful somehow. Solemn.....it had
opened dazzling bright." [animate
qualities]

"At that the music seemed to change; it sounded sad, sad
it rose upon a great sigh...."

"But
presently a soft, melting, ravishing tune
began...