Notes

There are strong links between The Tempest and William Shakespeare's own life. These revolve around the character of Prospero, his powers, and where he is in his "career" on the island. Start with the basics: both are men of mature age. That's basic, but what follows is less basic. Prospero is a wizard. On this island, people do what he says. They move according to his wishes. He organizes the drama early in the play, and the narrative twists and turns throughout it. At times, his magic makes them see things that aren't really there. Shakespeare is a playwright, not a wizard, but on stage, people do what he says. Characters move according to his wishes. He structures the drama throughout his plays, and, when he moves into his poetic moments, like in the monologues, he makes us all see things that aren't there. At the end of the play, Prospero sets his staff (his magic) aside. This furthers the comparison between Prospero and Shakespeare because  The Tempest ...

Personification is a type of figurative language in which a writer gives a nonhuman subject human characteristics. In the story "Rules of the Game" (an excerpt from the novel The Joy Luck Club ), Waverly, the first person narrator, often speaks figuratively in the description of her life growing up in San Francisco's Chinatown. For example, she uses personification when she describes the pigeons which she sees in the playground near the alley where she lives: "old country people sat cracking roasted watermelon seeds with their golden teeth and scattering the husks to an impatient gathering of gurgling pigeons." Impatience is usually a quality reserved for humans so by describing the pigeons as impatient as they wait for food is personification. Another example of personification occurs when Waverly is describing the chess board which her brother Vincent received as a present at the church Christmas party: "The chess board seemed to hold elaborate secrets wa...

Given equation is `y' -y =y^3` An equation of the form `y'+Py=Qy^n` is called as the Bernoullis equation . so, to proceed to solve this equation we have to transform the equation into a linear equation form of first order as follows =>` y' (y^-n) +P y^(1-n)=Q` let `u= y^(1-n)` => `(1-n)y^(-n)y'=u'` => `y^(-n)y' = (u')/(1-n)` so , `y' (y^-n) +P y^(1-n)=Q` => `(u')/(1-n) +P u =Q ` so this equation is now of the linear form of first order Now, From this equation , `y' -y =y^3` and `y'+Py=Qy^n` on comparing we get `P=-1 , Q=1 , n=3` so the linear form of first order of the equation `y' -y =y^3 ` is given as => `(u')/(1-n) +P u =Q ` where` u= y^(1-n) =y^-2 ` => `(u')/(1-3) +(-1) u =1` => `(-u')/2 -u=1` => `u'+2u = -2` so this linear equation is of the form `y' + py=q` `p=2 , q=-2` so I.F (integrating factor ) = `e^(int p dx) = e^(int 2dx) = e^(2x)` and the general solution is given as `u (I.F)=int q ...

It looks like you are referring to the "March on Washington, D.C. for Jobs and Freedom" on August 28, 1963. On this day, more than 250,000 people, white and black, converged on the city to support the call for meaningful civil rights reforms and effective programs to combat pervasive unemployment. The Reverend Martin Luther King also made his historic "I Have a Dream" speech on that day. All participating marchers met at the Washington Memorial, where a stage had been set up for Hollywood stars and famous singers to entertain the crowd, before they marched to the Lincoln Memorial for the formal part of the program. The Lincoln Memorial program began with the singing of the National Anthem by Marian Anderson. During the program, a tribute was paid to the "Negro Women Fighters for Freedom." Religious, social justice, and labor organization leaders gave speeches for the remainder of the program. The last speaker was the Reverend Martin Luther King, who gave h...

The green light in The Great Gatsby (Fitzgerald) is probably one of the most famous symbols in American literature.  We first see it in the very first chapter and see it again on the very last page of the book, with a symmetry that is stunningly effective. As a literal matter, the green light is a light at the end of the dock of the house of Daisy and Tom Buchanan, who live in one of the "white palaces of fashionable East Egg" (10).  From Gatsby's house in West Egg, across the bay, the light is "minute and far away" (26). The light symbolizes the American dream and Gatsby's version of it.  When Gatsby "stretched his arms toward the dark water in a curious way..." (25), Nick says it seemed that his arms trembled, and while Nick knows little of Gatsby at this point, it does seem as though Gatsby is reaching out toward the green light, since that is all Nick can see in the distance.  Looking back, Nick says, it "must have seemed so close that he ...

Dee is a self-centered person who is used to getting what she wants. Maggie "thinks her sister has held life always in the palm of one hand, that 'no' is a word the world never learned to say to her," and she seems to be right.  Dee had hated their old house; it burned down. "Dee wanted nice things," and she got them when it was possible. Mama and the church saved money to send her away to school. Before this, however, Mama says, "She used to read to us without pity; forcing words, lies, other folks' habits, whole lives upon us two, sitting trapped and ignorant underneath her voice. She [...] burned us with a lot of knowledge we didn't necessarily need to know."  Dee seems to have enjoyed lording her superior knowledge and abilities over her family. Now, when she returns home, Dee wants to take items that the family still uses -- the butter dish, the churn top, the dasher.  She even wants the quilts that have been promised to Maggie.  Upon ...

There is no real right or wrong answer to this question.  It might differ from reader to reader, so as long as you explain your response, you should be good to go.   I will tell you how most of my students react to the ending of this story.  It usually goes something like this: "Wait. What?  He died?  That means . . . he imagined. . . everything.  Worst story ever!"   Of course they don't really mean that last part though, because I believe that any story that can get such a heated response is a fairly good story.   The ending does change some specifics of the story for me though. For example, my interpretation of the first sentence of section three changes quite a bit.   As Peyton Farquhar fell straight downward through the bridge he lost consciousness and was as one already dead. It says that Peyton was "as one already dead."  Well, that's because he basically was dead at that point.  My interpretation of the rope breaking changed too after knowing the en...

There were similarities and differences between the Confederate States of America and the United States of America. One similarity was with the structure of the government. Both governments had three branches of government. The legislative branch made the laws. The executive branch carried out the laws. The judicial branch interpreted the laws. One difference between the Confederate States of America and the United States of America was that the President of the Confederacy could only serve one term as President. The length of that term was six years. The President of the United States served a four-year term. There were no limits, at the time, on the number of terms the President of the United States could serve. Another major difference is that the Confederacy allowed slavery to exist. It was written into their constitution. The U.S. constitution didn't outlaw slavery, but didn't endorse it either. After the Civil War, the U.S. officially banned slavery with the ratification ...

This rhymed couplet sums up the plan that Hamlet decides to pursue at the end of Act II. Hamlet isn't entirely certain that Claudius killed Hamlet's father, so he is going to test Claudius. He is going to stage a play for Claudius to watch, a thinly-disguised dramatization of Claudius's supposed murder of Hamlet's father. If, after watching the play, Claudius betrays emotions of guilt or otherwise behaves suspiciously, Hamlet will have confirmed that his uncle did, in fact, kill his father. If you read the approximately 18 lines leading up to these words, you can observe Hamlet hatch this plan. The others have left; Hamlet is thinking aloud. And he recalls something: "Fie upon't! foh! About, my brain! I have heard That guilty creatures sitting at a play Have by the very cunning of the scene Been struck so to the soul that presently They have proclaim'd their malefactions; For murder, though it have no tongue, will speak With most miraculous organ." In ...

There may be a tension between New Testament Christianity as we understand it and the values of the Dark Age Danes portrayed in Beowulf .  But the brand of Christianity apparently held by the poet seems to fit very well with the demands of his warrior culture. When thinking of Christianity, most modern readers think first of Jesus and His New Testament teaching, especially the Sermon on the Mount. (See Matthew 5:1 – 7:27.)  It is this sermon which contains the most famous sayings of Jesus, and also those which sound the most pacifistic, such as “Blessed are the meek,” “Turn the other cheek,” and “If someone wants to take your tunic, let him have your cloak as well.”  Taken in isolation, these sayings would seem to be urging the exact opposite of the lifestyle led by Beowulf and company, whose core values seem to be bravery, boastfulness, and vengeance. But actually, this sharp contrast depends on caricatures of both the epic of Beowulf and of Jesus’ teaching. The warriors in Beowulf a...

The narration in "The Tell-Tale Heart" is in the first person. However, the relationship between the narrator and the old man is not clear.  Was he the old man’s son?  His servant?  Did the old man serve as a father figure? When the police are summoned by a neighbor who heard a shriek, the narrator explains that the shriek was his own from a dream. The narrator does claim to be a hypersensitive person. But is he?  Or does he imagine it?  Which begs another question: did the narrator kill the old man, or merely imagine that he did? He does say that the old man knew him, but by what means is not revealed; the narrator also says he had never been as kind to the old man as he had the week before he murdered him. The narrator mentions mad, madman, or madness seven times in this short story. He is exact and obsessive in his description of the murder, and the events and planning that led up to it. Who is the narrator speaking with during the course of the story? This other person is...

`sum_(n=0)^oo((0.3)^n+(0.8)^n)` `=sum_(n=0)^oo(0.3)^n+sum_(n=0)^oo(0.8)^n` Now both of the above are geometric series having first term 1 and common ratios `0.3,0.8` respectively. Geometric series converges to the sum: `sum_(n=0)^ooar^n=a/(1-r),0<|r|<1` Using above, `=1/(1-0.3)+1/(1-0.8)` `=1/0.7+1/0.2` `=10/7+10/2` `=(10*2+10*7)/(14)` `=90/14=45/7` The sum of the given convergent series is `45/7`

First, while this is a poem that some women may find inspiring, others may not. The poem received a substantial amount of publicity from Oprah Winfrey, a popular television personality, whose work tends to emphasize "inspiration" in the sense of an uplifting positive outlook on life, slickly marketed. The aspect of the poem that some women find inspirational is the narrator's assertion that although she is not conventionally pretty, men still are attracted to her due to a combination of personal magnetism and a sort of visceral appeal and physical voluptuousness. As many women in the western world feel under pressure to conform to media standards equating self-worth and beauty with thinness and the traditional image of the fashion model, some women may find it inspiring that the narrator of the poem proclaims her confidence even to the point of suggesting that she evokes jealousy from "pretty women," as in the lines: Pretty women wonder where my secret lies. I...

Note that plants take in oxygen and give off carbon dioxide all the time, not only at night. The only reason we do not notice that during the day time is because plants produce more oxygen than they consume and they consume more carbon dioxide than they produce. In simpler terms, during daytime, both photosynthesis and cellular respiration take place, however at night, only cellular respiration takes place. Photosynthesis can be represented as: `6CO_2 + 6H_2O + sunlight -> C_6H_12O_6 + 6O_2` Cellular respiration can be represented as: `C_6H_12O_6 + 6O_2 -> 6CO_2 + 6H_2O + ATP` In the first process, plants produce glucose and oxygen, however it only takes place in the presence of sunlight. The second process, cellular respiration, is the one that generates energy (in the form of ATP molecules) and is needed throughout the life of a plant and hence takes place continuously. It is just that photosynthesis dominates respiration during daytime and hence we only notice the respiration ...

The more precise term for mass destruction is "annihilation." One of our consistent observations of the nature of the universe is that most particles have an antiparticle—something that has the same properties but the opposite electric charge. For electrons, the antiparticle is the positron, which is identical in all respects except that it has a +1 charge instead of a -1. If you combine an electron with a positron, they will annihilate and release (in a basic, simplified version of the possible reactions) two photons that conserve both the energy and momentum of the original electrons.  The same thing can happen for protons as well, except, in their case, they are composite particles, so the possible reactions and vector physics become more complicated because it's possible for two of the six quarks to annihilate and eject the other two, which undergo subsequent transformations that may or may not result in annihilation. Annihilation is one of the essential tools of part...

Egeus comes before the duke because he wants his daughter Hermia to marry Demetrius, but she wants to marry Lysander.   In Athens, Theseus is in charge.  When Egeus’s daughter is giving him trouble because she wants to choose her own husband, he hauls her before the duke in order to reinforce to her that she has no say in the matter.  As far as he is concerned, she will marry Demetrius because she has been told to marry Demetrius.  EGEUS Full of vexation come I, with complaint Against my child, my daughter Hermia. Stand forth, Demetrius. My noble lord, This man hath my consent to marry her. (Act 1, Scene 1) Theseus completely takes Egeus’s side!  It was common for fathers to make decisions for their daughters about who they would marry.  The daughters were supposed to accept it.  According to Thesus, it is also Athenian law and tradition.  THESEUS What say you, Hermia? be advised fair maid: To you your father should be as a god; One that composed your beauties, yea, and one To whom you...

Chromatophores are a type of cell (or group of cells) which are capable of reflecting light and which contain pigments. The functioning of these cells vary from one organism to another. For example, cephalopods use multicellular "organs" to generate their quick color changes. Chromatophore units in these creatures consist of a chromatophore cell which holds a cytoelastic sacculus (a tiny sac of pigment granules) and many muscle, glial, nerve, and sheath cells. These tiny sacs of color are stretched when muscles controlled by the nervous system pull on them, expanding the sacs so that the color they contain can be seen. The color disappears when the muscles relax and the sacs shrink back to their normal size.  In reptiles, amphibians, and fish, on the other hand, color shifts arise not out of a change in the shape of the color sac, but rather via the movement of pigment within the cell.  The benefit of this kind of physiological color change lies in the ability to adapt to one...

At the beginning of the novella, George yells at Lennie for carrying a dead mouse in his pocket. When George asks Lennie why he wants to carry around a dead mouse, Lennie tells him that he simply enjoys petting it with his thumb. After George throws the mouse into the brush, Lennie retrieves it and attempts to hide it from George. When George realizes that Lennie has the dead mouse, George throws the mouse away again despite Lennie begging him to keep it. Lennie's insistence on petting the dead mouse illustrates his affinity for touching soft things. The fact that he fears and listens to George demonstrates his reliance and obedience to him. The reader also learns that Lennie cannot overcome his instincts to pet the mouse, which foreshadows his inability to control his emotions when Curley's wife allows Lennie to stroke her hair.

Since Madame Loisel's attendance at the ball held at the Ministerial Mansion dazzles the male guests for reasons that are not substantive, it seems that she only appears extraordinary, as her subsequent actions prove.  As in many of his stories, Guy de Maupassant exposes the pettiness and superficiality of the residents of northwestern France through the character of Mathilde Loisel.  She grieved incessantly, feeling that she had been born for all the little niceties and luxuries of living....The sight of the little Breton girl who did her humble housework roused in her disconsolate regrets and wild daydreams. Mme. Loisel dreams of owning evening clothes and jewels and being in great reception halls of silken walls and priceless curios: ...she felt that was the kind of life for her.  She so much longed to please, be envied, be fascinating and sought after. However, when her husband brings home an invitation to an "evening reception" at the Ministerial Mansion, thinking hi...

The answer to this is “absolutely not.”  A constitution is just a piece of paper.  It can only be enforced on the government if the people are willing to do so.  This means the government does not have to obey the constitution unless the people force it to do so. A constitution sets the rules that a government is supposed to follow.  However, a government cannot be coerced by outside forces.  Only the government has the legitimate right to engage in violence in a given society.  There is no force higher than the government that can physically compel it to act in a certain way.  This means that there is no entity that can force the government to obey its constitution.  As an example of this, we can say that there was a long time when the US government did not obey some parts of its constitution.  The Constitution of the US (specifically, the 14th Amendment) says that all Americans have to enjoy the equal protection of the law.  However, African Americans and other people of color were n...

F. Scott Fitzgerald's short story was written in 1922, and believed by Fitzgerald scholars to be the forerunner of  The Great Gatsby because of its theme of class differences and how they factor into matters of the heart and the sadness of a misspent life. The overall mood and tone of the story could be called lamenting or discontented. Dexter Green never seems to find happiness: not as a young man when he dreams of financial success, not in his relationship with Irene, not in his acquisition of wealth, career success and consequent social access, not in his on-again off-again relationship with Judy, and certainly not when he learns of Judy's sad fate as a betrayed wife who has lost her beauty.   Dexter is mournful at the story's end as realizes that, in many ways, he has wasted his youth chasing after illusions.

Indefinite integrals are written in the form of `int f(x) dx = F(x) +C`  where: `f(x)` as the integrand            `F(x)` as the anti-derivative function            `C`  as the arbitrary constant known as constant of integration To evaluate the given integral problem `int tan^5(x/2) dx` , we may apply u-substitution by letting: `u = x/2` then `du =1/2 dx ` or  `2du= dx` . The integral becomes: `int tan^5(x/2) dx =int tan^5(u)* 2 du` Apply the basic properties of integration: `int c*f(x) dx= c int f(x) dx` . `int tan^5(u)* 2 du =2 int tan^5(u)du` Apply integration formula for tangent function:  `int tan^n(x)dx = (tan^(n-1)(x))/(n-1)- int tan^(n-2)(x)dx` . `2 int tan^5(u)du= 2 *[(tan^(5-1)(u))/(5-1)- int tan^(5-2)(u)du]`                         `= 2*[(tan^(4)(u))/(4)- int tan^(3)(u)du]` Apply another set integration formula for tangent function on  `int tan^(3)(u)du` . `int tan^(3)(u)du = (tan^(3-1)(u))/(3-1)- int tan^(3-2)(u)du`                          `= (tan^(2)(u))/(2)- int tan^(1)(...

In To Kill a Mockingbird , Miss Maudie gardened because of her background and her values. We learn in Chapter 5 that Miss Atkinson was the daughter of Dr. Frank Buford. His "profession was medicine and his obsession was anything that grew in the ground, so he stayed poor." Growing up with a father who apparently valued botany over his livelihood would have fostered a strong appreciation in a young Maudie. Miss Maudie was also a Baptist, not a strongly religious one, but she loved God and His creations, so almost all of her waking hours were spent outside gardening. This was her alternative to worshiping the way most of the ladies in Maycomb did. It wasn't that she didn't have an impressive knowledge of scripture; she could quote passages along with the "foot-washing Baptists" in the county. I think she found more value in her personal relationship with her spirituality than in organized religion, where much corruption and hypocrisy could be found. Miss Maudi...

In Chapter 1, Ralph, Jack, and Simon are exploring the island when they stumble upon a piglet that is caught in between a curtain of branches and vines. As the piglet squeals and kicks in terror, Jack takes out his knife. He raises his arm in the air but hesitates long enough for the piglet to escape. After the piglet escapes, the boys laugh as Jack tells them that he was looking for a proper place to stab the piglet. When Ralph asks Jack why he didn't slit the pig's throat, Golding writes, "They knew very well why he hadn't; because of the enormity of the knife descending and cutting into living flesh; because of the unbearable blood" (41). At this point in the novel, the boys are still civilized. The thought of killing a living being is unsettling, and they would be disgusted at the amount of blood there would be if Jack were to stab the pig. As the novel progresses, the boys descend into savagery, and Jack becomes filled with bloodlust.

For the given integral problem: `int (6x)/(x^3-8)dx` , we may partial fraction decomposition to expand the integrand: `f(x)=(6x)/(x^3-8)` .  The pattern on setting up partial fractions will depend on the factors  of the  denominator. For the given problem,  the denominator is in a form of difference of perfect cube :  `x^3 -y^3 = (x-y)(x^2+xy+y^2)` Applying the special factoring on `(x^3-8)` , we get:  `(x^3-8) =(x^3-2^3)`               `=(x-2)(x^2+x*2+2^2)`                `=(x-2)(x^2+2x+4)` For the linear factor `(x-2)` , we will have partial fraction:` A/(x-2)` . For the quadratic factor `(x^2+2x+4)` , we will have partial fraction: `(Bx+C)/(x^2+2x+4)` . The integrand becomes: `(6x)/(x^3-8) =A/(x-2) +(Bx+C)/(x^2+2x+4)` Multiply both side by the `LCD =(x-2)(x^2+2x+4)` : `((6x)/(x^3-8))*(x-2)(x^2+2x+4) =[ A/(x-2) +(Bx+C)/(x^2+2x+4)] *(x-2)(x^2+2x+4)` `6x =A(x^2+2x+4) +(Bx+C)(x-2)` We apply zero-factor property on `(x-2)(x^2+2x+4)` to solve for values we can assign on x. `x-2 = 0` then ...

The answer to this really depends on how you define “good” when it comes to your grades.  Is it acceptable to you (and/or your parents) if you have a relatively high grade point average (GPA) but are doing very poorly in one class?  Would it be better if you had decent, but not great, grades in all of your classes?  This is a matter of opinion. On the one hand, these grades would give you a pretty good GPA by most people’s standards.  I have never taught at a school that actually gave A+ as a grade that is different from an A.  However, if your school does, I imagine that each A+ is worth 4.3 grade points.  Typically a D+ is 1.3 grade points and a C+ is 2.3.  If you use these numbers, you end up with 18.8 grade points.  When you divide this by your six classes, you end up with a 3.13 GPA, which is slightly above a B average.  Even if your school only gives As and not A+s, you would have 17.9 grade points for a GPA just under 3.  For many people, a B average is not a bad thing. However,...

Interesting question! In the book The Freedom Writers Diary , Zlata had a profound impact on many of the students. In the book, Ms. Gruwell called Zlata in the spring of 1997. Ms. Gruwell called Zlata to tell her about the students’ new writing assignment that was inspired by Zlata. Zlata kept a journal that influenced numerous individuals throughout the world. Zlata encouraged Ms. Gruwell by indicating that the students might find the journal to be a safe place to express their thoughts and emotions. As Ms. Gruwell revealed: “She’s [Zlata] the inspiration for our latest writing project.”  Thus, Ms. Gruwell indicated to Zlata that the students were going to start writing a diary together. Zlata inspired this idea and encouraged Ms. Gruwell to utilize the journal as a way of motivating the students while providing a safe place to express their thoughts and emotions.

To evaluate the integral problem:` int_0^(pi/2) 1/(1+sin(theta)+cos(theta)) d theta` , we may apply Weierstrass substitution or tangent half-angle substitution . This helps to determine the indefinite integral of a rational function in terms of sine and cosine. We let: `u = tan(theta/2)` `sin(theta) = (2u)/(1+u^2)` `cos(theta) =(1-u^2)/(1+u^2)` `d theta=(2 du)/(1+u^2)` Plug-in the values to express the integral problem in terms variable "u'. `int 1/(1+sin(theta)+cos(theta)) d theta=int 1/(1+(2u)/(1+u^2)+(1-u^2)/(1+u^2))*(2 du)/(1+u^2)` `=int 1/(((1+u^2)/(1+u^2)+(2u)/(1+u^2)+(1-u^2)/(1+u^2)))*(2 du)/(1+u^2)` `=int 1/(((1+u^2+ 2u +1-u^2)/(1+u^2)))*(2 du)/(1+u^2)` `=int 1/(((2 +2u)/(1+u^2)))*(2 du)/(1+u^2)` `=int 1 *(1+u^2)/ (2 +2u)*(2 du)/(1+u^2)` `=int (2 du)/ (2 +2u)` `=int (2 du)/ (2(1 +u))` `=int (du)/(1+u)` From the table of indefinite integration table, we follow the integral formula for rational function as: `int (dx)/(ax+b)=1/aln(ax+b)` By comparing "`ax+b` " ...

Maclaurin series is a special case of Taylor series that is centered at a=0 . The expansion of the function about `0` follows the formula: `f(x)=sum_(n=0)^oo (f^n(0))/(n!) x^n`  or `f(x)= f(0)+(f'(0)x)/(1!)+(f^2(0))/(2!)x^2+(f^3(0))/(3!)x^3+(f^4(0))/(4!)x^4 +... ` We may apply the formula for Maclaurin series to determine the Maclaurin polynomial of degree `n=4` for the given function `f(x)=e^(x/3)` . Apply derivative formula for exponential function: `d/(dx) e^u = e^u * (du)/(dx)` to list `f^n(x)` as: Let `u =x/3` then `(du)/(dx)= 1/3` Applying the values on the derivative formula for exponential function, we get: `d/(dx) e^(x/3) = e^(x/3) *(1/3)`          `= e^(x/3)/3 or 1/3e^(x/3)` Applying `d/(dx) e^(x/3)= 1/3e^(x/3)`  for each `f^n(x)` , we get: `f'(x) = d/(dx) e^(x/3)`           `=1/3e^(x/3)` `f^2(x) = d/(dx) (1/3e^(x/3))`           `=1/3 *d/(dx)e^(x/3)`           `=1/3 *(1/3e^(x/3))`           `=1/9e^(x/3)` `f^3(x) = d/(dx) (1/9e^(x/3))`            `=1/9 *d/(dx) e^(x/3)...

You're right on the money. Benedick is convinced that any woman he married would cheat on him. This would make him a cuckold, and cuckolds were indeed depicted as having horns. (Incidentally, there was another term for cuckolds in the Renaissance: wittol. The distinction is that cuckolds didn't know about the adultery, while wittols knew and tolerated it.) Let's hit the language first, because Shakespeare's having a lot of fun here. A "recheat" is a hunting call, played on a bugle. It's sounded to call back the hounds tracking the prey. So not only is Benedick creating the image of physical horns on his forehead, the universal symbol of cuckoldry, but he's also implying that he would need to ask his wife to stop cheating on him. That would not be a fun conversation. A baldrick is a belt that goes over one shoulder and holds something that needs carrying on the opposite hip. A hunter would hang his bugle on his baldrick. So suddenly Benedick has transfo...

There are at least two ways in which the effects of the Great Depression helped cause WWII. First, they helped lay the foundation for the rise of fascism/Nazism in Germany and of militarism in Japan. Secondly, they devastated the economies of the US, France, and the UK. This caused those countries to be preoccupied with domestic economic issues and less interested in foreign affairs. The Great Depression caused great harm to economies around the world. In some countries, the economic harm led people to accept political radicals because they were desperate for someone to fix their economic troubles. In Germany, this meant that people were willing to support the Nazis. In Japan, people supported more militaristic politicians. In both cases, these new leaders brought their countries into war. Even in countries that did not become radicalized, the Great Depression had a significant impact.  Politicians in the US, Great Britain, and France stopped worrying so much about foreign affairs and ...

The theme of justice recurs throughout The Merchant of Venice . Shylock declares, “I stand for judgment.” He argues that he does no wrong. Just as the Christians in Venice own slaves, Shylock claims to own Antonio through the bond that they signed. Antonio agreed to give up a pound of flesh if he could not repay his debt to Shylock on time, which he cannot. Shylock argues for precise justice, pointing out the bond does not allow any doctors or reprieve. Perhaps because Shylock is Jewish, Shakespeare writes Shylock as having an Old Testament eye-for-an-eye mentality. In Act III, Scene 1, Shylock points out the similarities between Christians and Jews in his argument as to why he should be able to exact vengeance on Antonio: “If a Christian wrong a Jew, what should his sufferance be by Christian example? Why, revenge.” Portia describes the superiority of mercy, but ultimately succeeds in simultaneously fulfilling the law and saving Antonio. She points out the bond allows for exactly a po...

Bill and Sam choose Summit as the location of the kidnapping because they feel that "philoprogenitiveness. . . is strong in semi-rural communities." According to Merriam-Webster dictionary , the word "philoprogenitive" refers to either a love for one's offspring or a prolific ability to produce offspring. Bill and Sam imagine people there probably either love their offspring very much or have enough offspring that one will be easy to kidnap. Bill and Sam eventually settle on the child of a prominent citizen named Ebenezer Dorset; they gamble that Mr. Dorset will be appropriately dismayed enough at the kidnapping of his son to hand over a ransom of two thousand dollars for his release. Also, Bill and Sam don't have much respect for the abilities of law enforcement officials in Summit. They think the town wouldn't be able to get after them "with anything stronger than constables and, maybe, some lackadaisical bloodhounds and a diatribe or two in the W...

The plot of any novel involves the exposition, the inciting incident, the rising action, the climax, the falling action, and the resolution.  In regards to this book, the exposition is learning about Bruno as the son of a Nazi commandant who was forced to move from Berlin to Poland, as well as the dynamics of their family.  The inciting incident is when Bruno first sees Shmuel on the other side of the fence.  The rising action involves Bruno and Shmuel becoming friends and Bruno helping Shmuel in any way he can (including by donning the "striped pajamas" and entering the camp).  The climax is when Bruno and Shmuel enter the gas chamber together and are killed.  The falling action and resolution (which is not really "resolution" at all) is how the German family reacts to the death of Bruno.  Throughout the plot, the "goal" of the main character is simply to be "best friends" with Shmuel.  Because Bruno is a German boy (and the son of a Nazi comman...

In the 1930's, the period of the Great Depression, life was desperate. Twenty-five per cent of the workforce were unemployed, homes and cars that were purchased on credit were lost, and many people lost their investments in the stock market crash of 1929, known as "Black Tuesday." Some even committed suicide. Others had to live in automobiles or makeshift homes fashioned from scrap metals. These little towns that formed from such makeshift homes were called "Hoovervilles" after the president who misjudged the effects of the stock market crash of 1929. Another disaster struck in the 1930's: The Dust Bowl. After generations of farming in the Great Plains in which much of the top-soil was lost, and over-farming as men planted great quantities of wheat for the food supply for World War I, which removed grassland that held down the nutritious soil, there was an environmental cataclysm that took place. Massive dust-clouds formed and cattle died from consuming such...

Well, first, force and pressure have different units. Force is in units of mass times acceleration like newtons or pounds, and the formula for force is `F=ma`  where m is mass and a is acceleration. Pressure is in units of force and an area, like PSI or atmospheres, and a formula for pressure is `P=F/A`  where F is force and A is area.  Force and pressure are often used for very different things, or in conjunction. For example, to calculate acceleration on a piston, you can use the mass, area, and pressure to get an exact value.  Pressure is exerted by physical objects, while force can be exerted in other ways. For example, a magnetic force can be caused by the movement of a charged particle that is not in contact with the subject. Pressure is almost always caused by a collection of particles--a canister of air or column of water. In a two-particle system, pressure becomes meaningless as the area is a point. Force is used in two-particle systems. Gasses do not usually provide force; ra...

The overarching theme of "The Love Song of J. Alfred Prufrock" is that of a man confronting his mortality. The poem is narrated by a male voice. We know this because he contemplates how to wear his "white flannel trousers" during a time when women did not wear trousers. In confronting his mortality, he is weighing the value of his decisions "and revisions." The poem is existential, in that it considers the necessity of choice in each of our lives, even choices made about the simplest matters: "Shall I part my hair behind?" or "Do I dare to eat a peach?" In contemplating one's choices, the narrator wonders how many of his had meaning or were worthwhile. So, if you wanted to use this poem to write a dissertation (I assume that you mean a doctoral dissertation which would require you to use more than one Eliot poem), you could talk about existentialist ideas in "Prufrock." You could also connect the narrator's dilemma to ...

Both the  Odyssey  and the  Epic of Gilgamesh exhibit numerous instances of divine intervention. In both stories, the protagonists and their companions anger at least one of the gods, and the god(s) respond(s) by sentencing at least one of the protagonist's companions to death. In the  Odyssey , Odysseus blinds Polyphemus the cyclops; this angers Polyphemus' father, Poseidon, so he shipwrecks Odysseus' party, killing his companions and leaving him stranded on Calypso's island. In the  Epic of Gilgamesh , Gilgamesh and Enkidu anger the gods by killing the Bull of Heaven; in response, the gods kill Enkidu. Additionally, both protagonists receive help from the gods. Athena convinces Zeus to set Odysseus free from his imprisonment on Calypso's island, and she gives him help throughout his journey home (she also helps Telemachus, Odysseus' son). Likewise, Gilgamesh receives help from Shamash, the Mesopotamian sun god.

Quite a bit!  After he blinds Polyphemus, the Cyclops son of Poseidon, lord of the seas, his journey by sea becomes much more difficult.  For example, at one point, Aeolus, the keeper of the winds, gives Odysseus a bag containing all of the winds except the one Odysseus needs to blow him back to Ithaca.  However, with home in sight, Odysseus falls asleep and his men open the bag, thinking it might contain some treasure.  The winds escape, and their ship is blown all the way back to Aeolia.  Aeolus, understanding that some powerful god is working against Odysseus, will not offer him help again. In another instance, when Odysseus is swimming, alone, in the sea, his ship having sunk, Poseidon sends a mighty storm, attempting to drown the hero.  Odysseus grips a giant rock, but the force of the water is so strong that he leaves pieces of skin stuck to the rock when he is ripped off of it.  Ino gives him an immortal veil, and this helps to save his life and allow him to reach Phaeacia.

The social-historical context for each era was considerably different. While the Romantic era writers were responding to the advent of democracy in the United States and Europe (and often advocating for the end of slavery), the Modern era posed an altogether different political reality. Industrialization was fully underway for the Modernist writers and artists and a shifting world-order was quickly creating a new global-capitalist bureaucracy that brought colonialism to an end (or, arguably, eclipsed the colonial-imperialist programs of Western Europe).  We can see the context for each period as integral to the content of the work associated with these eras. Romantic poems like Shelley's "Ozymandias" demonstrate a political outlook that was overtly condemning the rule of tyranny and authoritarianism.  Shelley depicts a grand statue with a vaunting proclamation etched into its base: "My name is Ozymandias, King of Kings;  Look on my Works, ye Mighty, and despair!...

Jimmy has his suitcase full of specialized safecracking tools with him right inside the room containing the brand-new bank vault where Agatha gets accidentally locked inside. It would be hard for him to resist opening that suitcase with a little girl screaming for help and in imminent danger of dying of suffocation or pure hysteria inside. If he opens the suitcase, exposes his tools, and uses them to open the bank-vault, he risks everything he has achieved through his reformation. He will lose the girl he loves and plans to marry. A number of witnesses will see he is an experienced safecracker. The tools will be evidence that can be used as evidence to convict him of the three bank jobs he committed right after being released from prison. Ben Price, the bank detective, is waiting right outside in the main room of the bank to arrest him for those bank jobs. Jimmy knows he would have to go to prison for a long stretch. His nemesis predicted what will happen to Jimmy when he catches up wi...

The basic difference between plan, project and program is that a plan details a course of action; a project is short-term and designed to deliver a specified output within time, cost and quality parameters; and a program is a long-term managed portfolio of multiple projects designed to produce outcomes.   Plan: A plan provides a comprehensive detailed course of action directed at achieving a specified end result. A plan may be re-evaluated as goals and milestones are accomplished or as information or circumstances change. There therefore may be some degree of flexibility to a plan. Project: A project is comprised of individual tasks that aim at specified outputs or deliverable products. Milestones and goals are defined and measured against the output objective, costs and timetable. Projects are well defined, short-term, with manageable risk, and resource needs that can be estimated with reasonable accuracy. Program: A program contrasts with a project. A program is comprised of multiple...

Our Founding Fathers created the United States government to function within three branches: legislative, judicial and executive. This design set up a checks and balances system to make sure one branch did not become more powerful than the others. There are checks and balances in place to allow the executive branch to limit the legislative and judicial branch, just as they can limit the president.  Although the legislative branch is responsible for creating laws, the president can veto the laws. To override the veto, the legislative branch must obtain an even higher number of votes. The executive branch may also declare Executive Orders without Congressional approval. However, an Executive Order might be declared unconstitutional by the judicial branch. The executive branch of government checks the judicial branch by nominating Supreme Court judges. The U.S. constitution was written with these checks and balances to avoid one person or group of people from dominating the decisions made...

Elizabethan theaters had a reputation for being noisy and unruly. Shakespeare was not only a writer but an experienced showman. He frequently opens his plays with scenes that will capture the interest of his audience and get people to quiet down, especially those standing in the pit. A good example is the extremely short opening of Macbeth in which the Three Witches, who all have beards and appear to be half-crazy, talk a lot of gibberish and agree to meet again. They are also frequently called the weird sisters throughout the play, and "weird" is certainly a good word to describe them. They conclude by all reciting simultaneously: Fair is foul, and foul is fair. Hover through the fog and filthy air. People today are still guessing what is meant by "Fair is foul, and foul is fair," but when Macbeth appears in Act 1, Scene 3, his first words are  So foul and fair a day I have not seen. This cues the audience at the performance of Macbeth to expect some answers to t...

One of the key messages in Macbeth is that having too much ambition can make people act mercilessly. Macbeth is so eager to have power after he hears the witches' prophecy that he rationalizes killing Duncan, the rightful king. After Macbeth kills Duncan, Macbeth feels so guilty that he becomes obsessed with the blood on his hands. In Act II, Scene 2, he says, Will all great Neptune’s ocean wash this blood Clean from my hand? No, this my hand will rather The multitudinous seas incarnadine, Making the green one red. Macbeth feels so guilty and immersed in blood that he fears his hands will turn the oceans red and no amount of sea water can cleanse him. While Macbeth was confident before killing Duncan that the regicide would help along his dreams of being king, after he kills Duncan, Macbeth feels so guilty he is unable to sleep. He then becomes tormented, and is eventually killed. Macbeth's ambition makes him heedless of consequences, and, rather than make him happy, his plans...

The terms "informal" and "formal" as they pertain to language reference an author's choice of tone, vocabulary, phrasing, fluency, and syntax. Informal language is much more personal than formal language and can use contractions, slang, colloquialisms, idioms, and phrasal verbs. Formal language, on the other hand, steers clear of colloquial and casual speech, contractions, and idiomatic language.  Thus, we can deduce that the second book in Suzanne Collins' Hunger Games series, Catching Fire , uses informal language. On the very first page of the book, we can see that Collins is using contractions ("I can't fight the sun...") and exhibiting other signs of informal language later in the chapter, including slang ("He's something of a whiz with snares..."). The book has a casual tone, and it sounds as if Katniss is confessing her feelings to the reader. Because we're experiencing the events in the present tense and through Katni...

Most historians, when studying the myth of Rhea Silvia, use as source the writings of the famous Roman historian, Titus Livius, more popularly known as Livy. He had written a monumental work on the history of Rome, and covered the period from its earliest legends before the traditional foundation in 753 BC through to the reign of Augustus when he (Livy) was still alive. Scholars have respected his version of early Roman history as being the most accurate. Rhea Silvia was the mother of Romulus and Remus. The circumstances of their conception have been much debated, but Livy states in his account that Rhea was raped. She had been forced to become a vestal virgin and undertake a vow of celibacy for thirty years. This was done by her uncle Amulius, who seized the throne from her father, Numitor, and killed her brother to prevent him from being rightfully challenged by him or his heirs. Amulius was imprisoned. In terms of the myth, Rhea Silvia fell pregnant after being violated by Mars and ...

`(dr)/dt=(1+e^t)^2/e^(3t)` `r=int(1+e^t)^2/e^(3t)dt` `r=int(1+2(1)e^t+(e^t)^2)/e^(3t)dt` `r=int(1+2e^t+e^(2t))/e^(3t)dt` `r=int(1/e^(3t)+(2e^t)/e^(3t)+e^(2t)/e^(3t))dt` `r=int(e^(-3t)+2e^(t-3t)+e^(2t-3t))dt` `r=int(e^(-3t)+2e^(-2t)+e^(-t))dt` Apply the sum rule and take the constants out, `r=inte^(-3t)dt+2inte^(-2t)dt+inte^(-t)dt` Now use the common integral: `inte^x=e^x` `r=e^(-3t)/(-3)+2e^(-2t)/(-2)+e^(-t)/(-1)` simplify and add a constant C to the solution, `r=-1/3e^(-3t)-e^(-2t)-e^(-t)+C` `r=-(1/3e^(-3t)+e^(-2t)+e^(-t))+C`

In chapter 2 of The Graveyard Book by Neil Gaiman, Bod and Scarlett travel into the Frobisher's mausoleum in search of ancient barrows. In the process, they meet a frightening figure called the Indigo Man, who threatens them with bodily harm unless they leave. Bod narrates their descent into the barrows because Scarlett can't see in the dark. It's already been established that Scarlett can't see or interact with ghosts the way Bod can, so it's a surprise to both of the them when they meet the Indigo Man because he's as vivid and frightening to her as he is to Bod. Though it's a frightening scene because of how threatening he is, there's also a bit of humor to the encounter with the Indigo Man. His threats and actions are a little overdramatic, especially in comparison to what comes next—he lets out "yodeling screams" and threatens to eat the children's livers, but, once Bod realizes that he must not be real because Scarlett can see him, th...

`int(3-x)/(3x^2-2x-1)dx` Let's use partial fraction decomposition on the integrand, `(3-x)/(3x^2-2x-1)=(3-x)/(3x^2+x-3x-1)` `=(3-x)/(x(3x+1)-1(3x+1))` `=(3-x)/((3x+1)(x-1))` Now form the partial fractions using the denominator, `(3-x)/((3x+1)(x-1))=A/(3x+1)+B/(x-1)` Multiply equation by the denominator `(3x+1)(x-1)` `=>(3-x)=A(x-1)+B(3x+1)` `=>3-x=Ax-A+3Bx+B` `=>3-x=(A+3B)x+(-A+B)` comparing the coefficients of the like terms, `A+3B=-1`   ----------------(1) `-A+B=3`      ----------------(2) Now let's solve the above equations to get A and B, Add the equations 1 and 2, `4B=-1+3` `4B=2` `B=2/4` `B=1/2` Plug in the value of B in equation 1, `A+3(1/2)=-1` `A+3/2=-1` `A=-1-3/2` `A=-5/2` Plug in the value of A and B in the partial fraction template, `=(-5/2)/(3x+1)+(1/2)/(x-1)` `=-5/(2(3x+1))+1/(2(x-1))` So, `int(3-x)/(3x^2-2x-1)dx=int(-5/(2(3x+1))+1/(2(x-1)))dx` Apply the sum rule, `=int-5/(2(3x+1))dx+int1/(2(x-1))dx` Take the constant out, `=-5/2int1/(3x+1)dx+1/2int1/(x-1...

The Renaissance was the period of time following the Middle Ages where a dramatic cultural shift began in Italy and spread across Europe. "Renaissance" means "rebirth," referring to the newfound flourish of culture, arts, and scholarship during this time period.  Humanism was an important ideal of the Renaissance which would later have a great impact in political revolutions and the ordering of new governments. Humanism emphasizes the human person in relation to the world, God, and government. This ideal was somewhat controversial at the time, because the Catholic Church-- the primary religion of Europe-- held that humanism was contrary to the teachings of predestination and God's power. The Church had much to say against the cultural shifts of the Renaissance, especially where science was concerned. An interest in questioning and exploring the natural world (skepticism) was another driving force of Renaissance culture-- and a big insult to the Church! During th...

One example of imagery in The War of the Worlds is the following: Yet across the gulf of space, minds that are to our minds as ours are to those of the beasts that perish, intellects vast and cool and unsympathetic, regarded this earth with envious eyes, and slowly and surely drew their plans against us. This example imagines the distance between Earth and Mars as a "gulf," or chasm. The Martians look upon earthlings with "envious eyes," wanting what we have, and coming up with plans to conquer Earth.  The following is another example of imagery that Wells uses to describe Mars: And looking across space with instruments, and intelligences such as we have scarcely dreamed of, they see, at its nearest distance only 35,000,000 of miles sunward of them, a morning star of hope, our own warmer planet, green with vegetation and grey with water, with a cloudy atmosphere eloquent of fertility, with glimpses through its drifting cloud wisps of broad stretches of populous cou...

The broadest and most comprehensive answer is, whatever he wanted. A slightly more specific answer is, Mr. Hyde did whatever Dr. Jekyll wanted to do but didn't do, because he was concerned about his reputation and social standing. To get more specific, and get down to details, Mr. Hyde did a number of things readers are explicitly told about. Mr. Enfield tells the reader the first of these shocking things in the first chapter: when walking late at night, Hyde trampled a little girl to the ground. He stomped on her so hard people could hear her bones shatter. Another specific and shocking action Hyde took was to beat Sir Danvers Carew to death. He was talking to this respected older gentleman on the street, and then he suddenly beat him to death with Jekyll's cane. (This is described in the chapter titled "The Carew Murder Case.") Besides doing these things, Hyde did them in public, with witnesses. That's the opposite of Jekyll, who tried to hide his sins and vices...

In the novel, Natty Bumppo is the trapper, or "the old man." To stay safe during the buffalo stampede, he first shoots a buffalo at the forefront of the stampede and then runs towards the approaching herd with his arms raised. Then, standing firm, he divides the stampede into two columns. Captain Middleton and Paul Hover (the bee hunter) join him in this protected area, and this is how the trapper and his friends stay safe. Accordingly, the buffalo stampede occurs in Chapter 19. Prior to the stampede, the trapper (Natty) points out a flight of vultures traveling across the sky. He tells Captain Duncan Middleton that the appearance of vultures usually precedes a buffalo stampede. In short order, the first lines of buffalo make their way through the prairie; eventually, the plains are filled with herds of bison. Natty's companions are entranced by the spectacle, but he has seen such a scene many times in his life. He advises his friends to prepare for the buffalo onslaught,...