Notes

Heterotrophs are also called consumers. These are organisms that must consume pre-formed organic compounds in order to obtain energy. Besides herbivores, carnivores and omnivores, there are two additional heterotrophs that can be identified in a food chain or web. One is called a detritivore and the other is called a decomposer . The detritivore consumes the remains of plant and animal matter. An example of this type of consumer is an earthworm. It eats dead matter in the soil including the remains of leaves. A decomposer is an organism that can actually break down organic matter into its simplest components . Examples include bacteria of decay and various fungi involved in the process of decomposition. When a dead tree falls to the forest floor, over time, various fungi grow on the dead tree and help to break it down. Decomposers are critical in returning chemicals back to the ecosystem again so that living organisms can obtain these chemicals to help them survive.  Therefore, the ...

Shakespeare's Much Ado About Nothing is fraught with attention to language, word play, and the act of communicating (or not communicating!). The title itself is a lighthearted play on words: "nothing" refers to "noting," a word which once meant "to gossip." It is through the power of language and communication that the story's protagonists, Benedick and Beatrice, come together; language is also what makes this reunion so comical and sweet due to the pair's obsessive, loud insistence that they despise each other. The first remarkable instance of the use of language occurs in Act One, Scene One, when Benedick and Beatrice engage in an epic battle of tongues: they fight each other verbally with each retort riffing off the language that the previous lash used. For example, when Benedick attacks Beatrice, saying, "Well, you are a rare parrot-teacher," Beatrice spits back, "A bird of my tongue is better than a beast of yours," to...

In Chapter 3 of Mary Shelley's classic of Gothic literature Frankenstein; or, The Modern Prometheus , a young Victor Frankenstein is preparing to depart for Ingolstadt, his father having determined that the promising student's education would not be complete lest Victor expand his horizons by leaving home. Before Victor departs for the university there, however, Elizabeth, the young woman who has been raised by Victor's parents and to whom his mother envisions he will eventually marry, becomes ill with scarlet fever. Both Victor's mother and Elizabeth have heretofore been described in angelic terms, and Elizabeth's illness is a serious blow to the Frankenstein family. While she recovers, however, Victor's mother, who has tenderly and dutifully nursed Elizabeth back to health, has contracted the disease. In his narrative, Victor notes that his mother had been urged not to tend to the ill girl because of this risk, but, as he relates his story, "[W]hen she (V...

Professor Pietro Baglioni does not like Doctor Rappaccini.  When Giovanni first brings up Rappaccini's name, Baglioni's demeanor changes immediately, and he doesn't respond with the same cordiality that has characterized his speech and manner until now. He says, "The truth is, our worshipful Doctor Rappaccini has as much science as any member of the faculty—with perhaps one single exception—in Padua, or all Italy. But there are certain grave objections to his professional character." Baglioni claims that Rappaccini actually cares more about science than he does about humanity and that he doesn't view his patients as people but rather as subjects upon which he can experiment. Baglioni further insists that Rappaccini would likely gladly sacrifice human life, including his own, if it meant he could gain one more speck of knowledge to add to his already vast stores. This quest for knowledge ultimately leads to the short story's sad ending.

With the recent death of Supreme Court Justice Antonin Scalia, questions concerning the nomination of the next Supreme Court Justice have been a significant topic of discussion. According to Article Two of the United States Constitution, the responsibility of nominating a Supreme Court Justice falls on the president. The president typically receives recommendations for the next judge from various federal departments, Congress, and other sitting judges. The president nominates a judge who then faces a series of hearings in front of the Senate Judiciary Committee which votes whether to send the nomination to the Senate. The Senate then confirms or rejects the nominee by a simple majority vote. Interestingly, out of the 159 nominations, the Senate has only rejected 12 candidates. The first rejected nominee was John Rutledge in 1795, and the last rejected nominee was Robert H. Bork in 1987.

This all depends on your school.  Chemistry is a very math-intensive subject where one has to convert measurements and analyze what lab findings actually mean.  Chemistry also requires knowledge of statistics.  If you are taking chemistry as a freshman in a traditional high school setting, then I am going to assume that you not only have great skill with numbers, but also good analytical skill as well.  An introductory chemistry class is a good place to improve your already impressive math skills.  You will become proficient at dimensional analysis through many practice problems.  You will be able to balance equations according to their charges as well as in accordance with the law of conservation of matter.  You will probably memorize the number valence electrons of many ionic compounds through your use of them.  You will calculate molarity.  You will become more proficient in using exponents and you will probably do this without even becoming aware of it.   Your math skills should be...

Michael Obi and the priest from the village near the school are similar in that both want what is best for the village and the people in it. They differ in what they believe is best for the village and how they approach changing their community. Michael Obi represents contemporary culture. He is, as Achebe says, "young and enthusiastic." He wants to change the school, which has always been "unprogressive." Unsurprisingly, Michael believes in progress, and in progressive changes. He wants things to be modern. He thinks that means things should be rational. This means there should be explicit reasons for things, private property should be respected, and the superstitions of the past (like the path walked by the dead) should be rooted out and abandoned. The priest represents continuity, history, and community. He wants the people of the village to be able to do what they have always done. Of the two, the priest shows more respect for others and their beliefs.

 Binomial series is an example of an infinite series. When it is convergent at `|x|lt1` , we may follow the sum of the binomial series as `(1+x)^k` where `k` is any number. We may follow the formula: `(1+x)^k = sum_(n=0)^oo (k(k-1)(k-2) ...(k-n+1))/(n!) x^n` or `(1+x)^k = 1 + kx + (k(k-1))/(2!) x^2 + (k(k-1)(k-2))/(3!)x^3 +(k(k-1)(k-2)(k-3))/(4!)x^4+...` To evaluate the given function `f(x) = 1/sqrt(1-x)` , we may apply radical property: `sqrt(x) = x^(1/2)` . The function becomes: `f(x) = 1/ (1-x)^(1/2)` Apply Law of Exponents: `1/x^n = x^(-n)` to rewrite  the function as: `f(x) = (1-x)^(-1/2)` or  ` f(x)= (1 -x)^(-0.5)`  This now resembles `(1+x)^k` form. By comparing "`(1+x)^k` " with "`(1 -x)^(-0.5) or (1+(-x))^(-0.5)` ”, we have the corresponding values: `x=-x` and `k =-0.5` . Plug-in the values on the aforementioned formula for the binomial series, we get: `(1-x)^(-0.5) =sum_(n=0)^oo (-0.5(-0.5-1)(-0.5-2)...(-0.5-n+1))/(n!)(-x)^n`  `=1 + (-0.5)(-x) + (-0.5(-0.5-1))...

Taylor series is an example of infinite series derived from the expansion of `f(x)` about a single point. It is represented by infinite sum of ` f^n(x)` centered at ` x=c` . The general formula for Taylor series is: `f(x) = sum_(n=0)^oo (f^n(c))/(n!) (x-c)^n` or `f(x) =f(c)+f'(c)(x-c) +(f^2(c))/(2!)(x-c)^2 +(f^3(c))/(3!)(x-c)^3 +(f^4(c))/(4!)(x-c)^4 +...` To apply the definition of Taylor series for the given function `f(x) = 1/(1-x)` centered at c=2, we list `f^n(x)` using the  Power rule for differentiation: `d/(dx) u^n= n *u^(n-1) *(du)/(dx) `  and basic differentiation property: `d/(dx) c* f(x)= c * d/(dx) f(x)` . `f(x)= 1/(1-x)` Let `u=1-x` then `(du)/(dx)= -1` . The derivative of f(x) will be: `d/(dx) (1/(1-x)) =d/(dx) (1-x)^(-1)`                   `= (-1)*(1-x)^(-1-1)*(-1)`                   `=(1-x)^-2 or 1/(1-x)^2` Then, we list the derivatives of `f(x)` as: `f'(x) = d/(dx) (1/(1-x))`            `=(1-x)^-2 or 1/(1-x)^2` `f^2(x)= d/(dx) (1-x)^(-2)`             `=-2*((1...

There are several different types of irony, and authors may employ them for different reasons. Verbal irony refers to the use of a word or phrase to mean the opposite of its usual meaning, and it may be included in fiction to either add an element of humor or build characterization by showing the discrepancy between a character's words and intentions. Another type of irony, dramatic irony, occurs when the reader is aware of something that a character is unaware of. This type of irony was commonly used in Greek tragedy, and it allows the author to build anticipation in the audience. Dramatic irony can illustrate the effects of misunderstandings or betrayal on a character before that character is even aware of their situation. Lastly, situational irony refers to a situation that includes contradictions or an unexpected outcome. An author may employ this type of irony in order to subvert expectations in the plot and add plot twists.

Golden Boy is a compelling story by author Abigail Tarttelin that tackles a variety of complex themes, including gender, sexuality, violence and power. Each of these themes is explored in relation to the others as well. Gender, Sexuality and Violence Throughout Golden Boy , the themes of sexuality and gender are explored in depth. The main character, Max Walker, is intersex. His parents have tried hard to keep his condition a secret, but as Max grows up, his mother's control begins to wane. When his father stands for election to Parliament, Max suddenly finds himself thrust into the national spotlight along with the rest of his family. As an adolescent, he goes through many typical struggles to understand his sexuality and gender, even if his condition makes the process a bit more complicated. Max also faces the threat of violence that is often leveled at anyone who is different from what society deems acceptable and is forced to come to terms with the fact that some people will n...

It is important to make sure that when conducting a controlled experiment to test an hypothesis, all the variables are the same in two test groups except for the independent variable. In a controlled experiment, the group that is testing the independent variable is called the experimental group. The other group that does not test this variable is called the control group. By comparing both groups, one can see the effect (if there is one) of the independent variable on the research. How the group reacts to the independent variable is called the dependent variable.  All other variables in each group are kept the same. This will allow the researcher to see if the tested variable is responsible for a result in the research. For example--a researcher may wish to test the hypothesis that exercise before an exam will result in higher test scores. The independent variable is exercise and the test scores are the dependent variable. Two groups are organized into an experimental or tested group ...

Hello! Probability is (the quantity of numbers having zero) / (the total quantity of numbers). It is obvious that the total quantity of numbers is  `(999 - 100 + 1) = 900.`  The quantity of numbers among these having at least one zero have to be computed. Zero may be at the ones position or tens position, not hundreds. It is obvious that one-tenth of these `900` numbers has zero at ones position, this is `90` numbers. Also `90` numbers have zero at the tens position. But the total quantity of numbers with zeros is NOT 90+90, because some numbers have zeros at both ones and tens. There are 9 such numbers (100, 200, 300, ... , 900). So there are `90+90-9=9*19` numbers with zeros, and the probability is `(9*19)/900=19/100=0.19` or 19% . This is the answer.

It sounds like you've been given a creative assignment as a response to reading Franz Kafka's The Metamorphosis ! The Metamorphosis is a novella which follows the transformation of Gregor Samsa, a traveling salesman who morphs into a "monstrous vermin" (sometimes represented as a cockroach or beetle). Gregor struggles to deal with this change, especially since it has inspired revulsion in his family; the novella closes with his death, which at long last restores some peace and relief to the household. It is ultimately an absurd story which remarks upon the nature of estrangement and the limits of human sympathy.  The assignment you have been given--with the direction to have a character find him or herself changed in his or her bed into an "[adjective][creature]" and to then have him/her go about her his/her daily activities  and encounter another person--absolutely mirrors the plot of The Metamorphosis . I can't complete your creative writing assignmen...

We are asked to solve `x^(1/3)-2x^(-1/3)=1 ` with the hint to let `y=x^(1/3) ` : If we let `y=x^(1/3) ` we get: `y-2y^(-1)=1 `  since `x^(-1/3)=(x^(1/3))^(-1) ` or `y-2/y=1 `  Multiplying by y yields: `y^2-2=y ==> y^2-y-2=0 ` This factors as `(y-2)(y+1)=0` so we get `y=2` or `y=-1`: If y=2 then ` x^(1/3)=2 ==> x=8 ` If y=-1 we get `x^(1/3)=-1 ==> x=-1 ` Checking the solutions we see that `8^(1/3)-2(8)^(-1/3)=2-2/2=1 ` and `(-1)^(1/3)-2/(-1)^(1/3)=-1-2/(-1)=-1+2=1 ` as required. The solutions are x=8 and x=-1. The graph of `y=x^(1/3)-x^(-1/3);y=1 ` : ----------------------------------------------------------------------------- One way to simplify `sqrt(3)^(-3)+sqrt(3)^(-2)+sqrt(3)^(-1)+sqrt(3)^0+sqrt(3)^1+sqrt(3)^2+sqrt(3)^3 ` is to use the substitution `y=sqrt(3) ` to get the expression: `y^(-3)+y^(-2)+y^(-1)+y^0+y^1+y^2+y^3 ` Factoring out a common `y^(-3) ` we get: `y^(-3)[1+y+y^2+y^3+y^4+y^5+y^6] ` The expression in brackets can be rewritten recognizing the identity: `y^7-1...

`a_n=6+2/n^2` To find the limit of a sequence, let n approach infinity. `lim_(n->oo) a_n` `=lim_(n->oo) (6 + 2/n^2)` `=lim_(n->oo) 6 + lim_(n->oo) 2/n^2` Take note that a limit of a constant is equal to itself `lim_(x->c) a = a.` Also, if a function is in the form `a/x^m` , where m is any positive number, its limit as x approaches infinity is zero `lim_(x->oo) a/x^m =0` `lim_(n->oo) 6 + lim_(n->oo) 2/n^2` `= 6 + 0` `=6` Therefore, the sequence's limit is 6.

Maya Angelou, who was born April 4th, 1928 and died May 28th, 2014, was an American writer and poet. Her poem "Phenomenal Woman" appeared in a collection of four poems in 1995. The poem is four stanzas long and uses poetic elements of repetition, rhyme scheme, and metaphor. Angelou repeats the line "I'm a woman, phenomenally. Phenomenal woman, that's me" for emphasis and effect. The rhyme scheme is not regular, but at least two lines rhyme in each stanza. Maya Angelou celebrates her womanhood in this poem. In the first stanza, she explains that she is not the stereotypical physical beauty, and yet, she is an object of desire for men. She tries to explain that her appeal is not in her dress size or her chiseled, perfect features. It's contained in elements like the span of her arms and hips, and in the way she walks. She is confident, even joyful in her womanhood. Her mystique radiates from the inside out. In stanza two, Angelou talks about how men react ...

Music and dance are two uniquely human phenomena. Though a number of animals employ seemingly rhythmic calls or bodily posturing, in non-humans, such behaviors are instinctual and "pre-programmed." What really sets rhythmic human motion and sound apart is the capability to be creative, drawing from set rules of aesthetics.  Music and dance are akin to human language in that they creatively arrange and rearrange a variety of "chunks" of information- sounds for music, and movements for dance. There is another phenomena which occurs in human language which I believe relates music and dance to one another- connotation. In language, words and phrases might conjure up a natural feeling or implication of other terms. For example, the word "coffin" has connotations of death and perhaps the afterlife. So, too, in music and dance are there connotations. It is more easy to connote movement with sound, as a short, shrill violin shriek might imply a jerky, sudden movem...

We hear the story of Flaco in the “Miami, Florida,” chapter of Whirligig. We don’t know his real name. He and his family moved from Puerto Rico to Miami. He didn’t know much English at first. He got a job as a dishwasher in a restaurant. Here the waitresses gave him the nickname Flaco, a Spanish slang term meaning “skinny.” Flaco eventually got a job as a street sweeper in order to support his wife Constancia and son Raul. They had already lost a daughter. One day, the stress of his situation prods him to go for a long drive across the state to Tampa. There he sees one of Brent’s whirligigs, made up of the wooden marching band characters. It reminds him that people find connection in groups. It reminds him of the value of his own family unit.

Since both cultures thrived for thousands of years, beauty standards changed within each culture, but in general terms, both cultures valued youth as beauty. Egyptians favored tall, slim bodies with narrow hips. Greeks favored well-muscled, athletic frames. Egyptians favored the female form, while Greeks favored the male form. Egyptians prized skin tone and felt that golden, bright skin was beautiful. Greeks used white lead to whiten their complexions. The cave art dating back to 20,000 BCE and beyond is difficult to compare with the art of Ancient Egypt and Greece. Like the Greeks and Egyptians, they were polytheistic, and had many drawings and statues of fertility goddesses. Most ancient cave paintings were of animals, and it isn't clear how much perception our most ancient ancestors had of themselves. In Ancient Greece, men who were muscular and chiseled were considered a standard of beauty. They had been blessed by the gods. The reason most statues of that time period depict sm...

There are two distinct ways local politics directly influence jail administration.  First, a prison is an employer of the local workforce, especially in the area of guards and administrative personnel.   As a consequence, anyone running for local office must assure voters that the local economy will remain healthy vis a vis the prison system – will it be privatized?  Will the prison budget allow expansion of personnel? etc.  Secondly, prison system policy often affects local production of work opportunities – will the prisoners compete for jobs in manufacturing, in labor union bargaining, etc.?  Many times prisons are actually prohibited from giving prisoners meaningful jobs because they will harm local industries (example:  making license plates, or even self-serving maintenance tasks such as laundry, maintenance, or food services).  In these instances, local political influence definitely hinders the “corrections and rehabilitations” goals of any good prison system.  Finally, loca...

In Frost's poem, "Out, Out--," there is an underlying tension between machine and human. One interpretation of Frost's poem "Out, Out--" considers the year in which it was written, a time when boys were losing their lives to the machinery of war. The technology of war was tearing limbs from young men, depriving them of the vigor of their youth, if not their lives. Perhaps, then, in this poem Frost imitates the dichotomy of man and machine in war, one that is certainly unfair when the "man" is still but a boy. The tension of this poem is first expressed with the personification of the saw; that is, Frost affords the saw the powers of a living creature, thus equalizing it as a potential adversary to the boy, just as in war. It is an aggressive creature, too, that works ever so swiftly:  The buzz saw snarled and rattled in the yard And made dust and dropped stove-length sticks of wood,... And the saw snarled and rattled, snarled and rattled, Clearly, ...

Macbeth and his wife planned to be pretending to be sound asleep in their bed when Duncan's murder would be discovered. Macbeth, however, was forced to come down to the gate to find out why nobody was responding to the persistent knocking. The drunken Porter admits Macduff and Lennox just as Macbeth is arriving, so Macbeth finds himself forced to conduct the two men to King Duncan's chamber and stand outside with Lennox while Macduff goes inside to wake Duncan in accordance with the King's orders. When Macduff comes out and raises a great alarm, he is so overwrought by what he has seen that does not suspect anyone yet. Lady Macbeth is able to go through with the couple's original plan and put on an act of an innocent person who has just been awakened by the uproar. She asks, What's the business, That such a hideous trumpet calls to parley The sleepers of the house? Speak, speak!     (Act II, Scene 3) Macduff replies, O gentle lady, ’Tis not for you to hear what I ca...

This story is told in third-person omniscient narration from Farrington's point of view. This narrator has access to all of Farrington's thoughts, and he focuses the story closely on the main character, following him from the office to the bar, back to the office, back to the bars, and finally to his home. You could say that this unremittingly focused point of view is the main tool with which Joyce characterizes Farrington; the narration allows us to see how Farrington thinks, acts, and speaks throughout the unbroken description of his afternoon and evening. At the same time, the third-person narration slightly distances us from Farrington, allowing the more erudite voice of the narrator to provide insight into Farrington: consider, for example, how Farrington looks at his boss's egg-like head, "gauging its fragility" and not "thinking about how he could maybe smash it." When furiously and furious both turn up in the first paragraph, this is, of cours...

Mildred is Montag's wife and Clarisse is their teenage neighbor. When Montag meets Clarisse for the first time he says the following: "He saw himself in her eyes, suspended in two shining drops of bright water. . . as if her eyes were two miraculous bits of violet amber that might capture and hold him intact. Her face, turned to him now, was fragile milk crystal with a soft and constant light in it. . ." (7). Notice how he describes the girl with images of life-giving water, colors and light. These visuals help the reader identify Clarisse with life and light, which is in complete contrast to how Montag feels when he goes home and thinks of his life there with Mildred. "It was like coming into a cold marbled room of a mausoleum after the moon has set. Complete darkness, not a hint of the silver world outside, the windows tightly shut, the chamber a tomb world where no sound from the great city could penetrate" (11). With Mildred and his home, Montag uses words l...

Hello! Probably a body moves with a uniform acceleration, denote it `a.` Then the speed changes uniformly, `V(t) = V_0 + a t,` where `V_0` is the initial speed and `t` is the time in seconds since the initial moment. Because the initial speed is given to be zero, we have `V(t) = a t.` Therefore the displacement from the initial position is equal to `D(t) = (a t^2) / 2` (proving this requires integration or computing the area of a triangle but I hope you know this fact). The unknown in our problem is `a,` to find it we multiply both sides of the equation `(a t^2) / 2` by `2` and divide by `t^2` and obtain the answer  `a = (2 D) / t^2.` Numerically it is equal to  `(2 * 72.1) / 0.735^2 approx 267 (m / s^2).`

A lever is a simple machine which is used to move or lift heavier loads at the expense of relatively smaller effort. A lever consists of a bar and a hinged support, known as the fulcrum. The two ends of the bar, one where the effort is applied and the other one where the load is present, are known as the effort end and load end (or resistance end). The aim of the lever is to move or lift maximum load at the expense of minimal effort. The effectiveness of a lever is often described by a factor known as mechanical advantage, which is given as: mechanical advantage = length of effort arm / length of load arm The distance of the effort end from the fulcrum is the length of the effort arm. Similarly, the distance between the load end and fulcrum is the length of the load arm.  A mechanical advantage of more than 1 is preferred, as it means more work is done at the expense of lesser effort. Thus, a better lever will have a higher value of mechanical advantage and for that we need to keep the...

The magnitude of the Poynting vector `S` can be found using the following relation. `S=1/mu_0(E xx B)` `E` ands `B` are perpendicular here so  `sin(theta)` in the cross product is one. Therefore, `|S|=1/mu_0|(E xx B)|=1/mu_0 E*B=1/mu_0 E (E/c)=1/(mu_0 c) E^2` `|S|=1/(mu_0 c)(E_0 cos(kx-omega t))^2=1/(mu_0 c)E_0^2cos^2 (kx-omega t)` Now to average this over one period of oscillation, you should know that the average value of `cos^2(theta)` over one period is `1/2` . `|S_(ave)|=E_0^2/(2 mu_0 c)`

Frederick Douglass provided strong guiding principles for black Americans and other minorities oppressed under traditional white European values. It seems impossible to give an unequivocal response about what piece of his advice was “most important,” as opinions and societal values change over time. Reasonable claims can be made that Douglass’s overall message has endured, though, and that America needs to acknowledge that oppression is a reality and every man, woman, and child deserves equal rights in American society. Many civil rights leaders invoke Frederick Douglass’s message as they raise awareness about oppression in America today. President Barack Obama has expressed his admiration for Douglass, and how Douglass helped lay the groundwork that resulted in Obama’s position as the first black American President. Although a black American currently holds the country’s highest elected political office, many still argue that racial and gendered minorities still lack equal rights and ...

Integrate `int(x^2+1)/[(x-3)(x-2)^2]dx` Rewrite the rational function using partial fractions. `(x^2+1)/[(x-3)(x-2)^2]=A/(x-3)+B/(x-2)+C/(x-2)^2` `x^2+1=A(x-2)^2+B(x-3)(x-2)+C(x-3)` `x^2+1=A(x^2-4x+4)+B(x^2-5x+6)+Cx-3C` `x^2+1=Ax^2-4Ax+4A+Bx^2-5Bx+6B+Cx-3C` `x^2+1=(A+B)x^2+(-4A-5B+C)x+(4A+6B-3C)` Equate coefficients and solve for A, B, and C. `1=A+B`                     (1) `0=-4A-5B+C`     (2) `1=4A+6B-3C`       (3) Adding Equations (2) and (3) will give you  `1=B-2C`    `B=1+2C`    (4) Using equation (1) substitute variable A with  `A=1-B`  into equation (3). Using equation (4) substitute variable B with `B=1+2C` equation (3). `1=4A+6B-3C`     (3) `1=4(1-B)+6(1+2C)-3C` `1=4-4B+6+12C-3C` `1=10-4B+9C` `-9=-4(1+2C)+9C` `-9=-4-8C+9C` `-5=C` `B=1+2C` `B=1+2(-5)` `B=1-10` `B=-9` `A=1-B` `A=1-(-9)` `A=10` `int(x^2+1)/[(x-3)(x-2)^2]dx=int10/(x-3)dx+int-9/(x-2)dx+int-5/(x-2)^2dx` `=10ln|x-3|-9ln|x-2|+5/(x-2)+C` The final answer is: `=10ln|x-3|-9ln|x-2|+5/(x-2)+C `

At the beginning of scene 2, Act II, Launcelot mentions one of the reasons why he should leave Shylock's service. In his monologue, he makes it clear that it is not an easy decision and is something that sits on his conscience. He believes, however, that Shylock 'is a kind of devil' and later emphasizes this by stating that 'the Jew is the very devil incarnal,' when he actually means incarnate. The implication is that Shylock is very difficult person to work for since he makes Launcelot's life a misery. Launcelot resolves that he will follow the advice of the fiendish aspect of his conscience and run away. Later in the scene he provides another reason for his desire to abandon his employer. In conversation with his father, Launcelot Gobbo, who wishes to present a gift to Shylock, he states the following: My master's a very Jew: give him a present! give him a halter: I am famished in his service; you may tell every finger I have with my ribs. The reference to...

Upon attending one of Gatsby's parties for the first time, Nick asserts that he "was one of the few guests who had actually been invited." Therefore, Nick is designated by Gatsby as special, at least in comparison to the other people who attend his parties. Initially, Gatsby is interested in Nick only because Nick is the cousin of Daisy Buchanan, the woman with whom Gatsby is in love. However, as the novel progresses, Nick proves to be of interest to Gatsby because he is honest and nonjudgmental, a distinction which sets Nick apart from the other people who attend Gatsby's parties. Throughout the novel, Gatsby confides to Nick his secret love for Daisy and ultimately reveals more about himself to Nick than he does to any other character. Gatsby feels comfortable sharing this information with Nick because Nick is trustworthy and proves to be "inclined to reserve all judgments." This quality sets Nick apart from the gossiping and frivolous party guests who spe...

The Tempest is driven by Prospero’s desire to avenge his betrayal. He says that he loved his brother Antonio more than anyone in the world other than himself. Prospero, “being transported / And rapt in secret studies” (reading, possibly studying sorcery), let Antonio take control of his dukedom. Like Lear’s daughters in King Lear, who presumed themselves rulers when their father gave them his kingdom, Antonio thought himself to be the role he assumed. He made a deal with King Alonso of Naples, “an enemy / To me [Prospero] inveterate,” who agreed to support Antonio’s bid for power. Instead of killing the popular Prospero, the conspirators put him and his young daughter, Miranda, on a rickety boat. The two unexpectedly survived their journey by landing on a desert island. Prospero has it out for Antonio and Alonso, who crash on his island after Prospero has Ariel create a storm. Alonso’s brother Sebastian is also there, and he seems interested in following in Antonio’s steps. He plans t...

Elizabeth is on holiday with her aunt and uncle Gardiner in Derbyshire, the county where Mr. Darcy and his sister reside.  Mr. Darcy has asked Elizabeth if he could introduce her to his sister, Georgiana, and it is in this chapter that the two meet for the first time.  The Gardiners watch all of the goings-on between Darcy and Elizabeth with much interest, and "of the lady's sensations they remained a little in doubt; but that the gentleman was overflowing with admiration was evident enough."  It is clear to them that Mr. Darcy loves Elizabeth; they only question whether she definitively returns his feelings.   Further, Mr. Bingley and Elizabeth meet again in this chapter, since Bingley is with Darcy's party at Pemberley, Darcy's estate.  Elizabeth cannot see any signs of romantic interest between Bingley and Miss Darcy, as Miss Caroline Bingley had tried to persuade Jane Bennet to believe.  Mr. Bingley not-so-subtly inquires about Elizabeth's sisters, and she...

First, please understand that an increase in the price of wool cannot affect either the supply of, or the demand for, wool. This is due to the technical definition of supply and demand.  The demand for wool is defined as the amount of wool that people are willing and able to buy at a given price.  The supply of wool is the amount that people are willing and able to produce at a given price. The important phrase here is “at a given price.”  Both supply and demand are curves that show an amount supplied or demanded at each possible price. Supply and demand only change when people are willing and able to buy or sell a different amount at the same price. When the price of a good (in this case, wool) changes,  all that happens is that we move along a given supply or demand curve.  The supply or demand curve does not actually move. Therefore, a change in the price of wool cannot change the supply of or demand for wool. If the price of sweaters falls, the demand for wool will rise but the sup...

We may apply the Ratio Test to determine the convergence or divergence of the series `sum_(n=0)^oo (-1)^n/(n!)` .  In Ratio test , we determine the limit as:  `lim_(n-gtoo)|a_(n+1)/a_n| = L`   Then, we follow the conditions:  a) `L lt1` then the series is absolutely convergent  b) `Lgt1` then the series is divergent .  c) `L=1` or does not exist  then the test is inconclusive . The series may be divergent, conditionally convergent, or absolutely convergent. For the series `sum_(n=0)^oo (-1)^n/(n!)` , we have `a_n=(-1)^n/(n!)` . Then, we may let `a_(n+1) =(-1)^(n+1)/((n+1)!)`  We set up the limit as: `lim_(n-gtoo) |((-1)^(n+1)/((n+1)!)) /((-1)^n/(n!))|`   To simplify the function, we flip the bottom and proceed to multiplication: `|((-1)^(n+1)/((n+1)!)) /((-1)^n/(n!))|=|(-1)^(n+1)/((n+1)!) * (n!)/(-1)^n|` Apply Law of Exponent: `x^(n+m) = x^n*x^m` and `(n+1)! = n!(n+1)` `|((-1)^n(-1)^1)/(n!(n+1)) * (n!)/(-1)^n|` Cancel out the common factors `(-1)^n` and `n!` . `|(-1)^1/(n+1)|` `=|-1/(n...

Sensory imagery is the use of the appeal to the senses by the author.  The author can describe sights, smells, sounds, textures, and tastes.  Amy Tan is an expert at using sensory description to create a more detailed world.  Here is an example from when Waverly’s mother tries to teach her to keep her thoughts to herself.  "Bite back your tongue," scolded my mother when I cried loudly, yanking her hand toward the store that sold bags of salted plums. At home, she said, "Wise guy, he not go against wind. In Chinese we say, Come from South, blow with wind-poom!-North will follow. Strongest wind cannot be seen."  The images of “salted plums” and wind create a picture in the reader’s mind to reinforce the idea.  Waverly’s mother is trying to teach her to keep quiet, and when she does she rewarded her with the treat.  The reader can almost taste the plums.  The images of Chinatown also create a setting that serves as a vivid backdrop for the story.  The Ping Yuen Fish Ma...

Algor mortis is the state in which a corpse's temperature is changing to match the ambient temperature of the environment in which it is located. It is generally not considered an accurate means to determine the time of death, because rate of temperature change is dependent on several environmental variables. Below are a just few ways in which algor mortis could fail as a method to determine time of death. The ambient temperature of the environment has changed (if it has gone from daytime to late evening, for example) The corpse is wearing particularly insulating clothes, such as a down parka The corpse is on a particularly heat-conducting surface The corpse had an abnormal temperature at time of death due to fever or illness For algor mortis to be an accurate means of determination of time of death, so many variables must be controlled. Often, when the need to determine time of death is present, it is not possible to control variables such as ambient temperature or what the person...

When Miss Emily tells her visitors that her father is not dead, she is doing several things. First, she is denying reality. She does this in different ways throughout the story. A related point is that she denies her father's death because he played such a large role in her life and identity. It is almost as if she cannot accept that he is gone, or can't conceive of herself without her father. Also related is the fact that with the death of her father, Miss Emily's status in the community changes. The longer he is alive, or that she can claim he is alive, the better her status. A final reason is more subtle and pervasive. Emily's position in her community allows her to control the reality around her. Denying her father is dead is parallel with denying she owes taxes.

Boxer is a massive horse who is the strongest, most dependable animal on the farm. After hearing about Animalism, Boxer becomes its biggest supporter and plays an important role in the Battle of Cowshed. Boxer's tireless work ethic is a major reason for the farm's success. He even wakes up early to begin working and selflessly puts the farm's best interests before his well-being. Despite his strength and usefulness, Boxer is extremely unintelligent. He cannot remember the alphabet after the letter D, and is naive to Napoleon's tyranny. His answer to every problem is "I will work harder," and Boxer believes everything that Napoleon says. The pigs take advantage of Boxer's loyalty and strength by overworking him and cutting his food rations. They view Boxer as simply a tool who they send away to die when he is no longer useful. Boxer's character is symbolic of the male working class and Russian peasants. 

`y'=1/(xsqrt(4x^2-9))` `y=int1/(xsqrt(4x^2-9))dx` Apply integral substitution: `x=3/2sec(u)` `dx=3/2sec(u)tan(u)du` `y=int1/(3/2sec(u)sqrt(4(3/2sec(u))^2-9))(3/2sec(u)tan(u))du` `y=inttan(u)/sqrt(4(9/4sec^2(u))-9)du` `y=inttan(u)/sqrt(9sec^2(u)-9)du` `y=inttan(u)/(sqrt(9)sqrt(sec^2(u)-1))du` Now use the identity:`sec^2(x)=1+tan^2(x)` `y=inttan(u)/(3sqrt(1+tan^2(u)-1))du` `y=inttan(u)/(3sqrt(tan^2(u)))du` `y=inttan(u)/(3tan(u))du`  assuming `tan(u) >=0` `y=int1/3du` take the constant out, `y=1/3intdu` `y=1/3u` Substitute back `u=arcsec((2x)/3)` and add a constant C to the solution, `y=1/3arcsec((2x)/3)+C`

To determine the distance traveled by the rabbit in 8 seconds, let's divide it into two time intervals. The time intervals are from 0 to 4 seconds and from 4 to 8 seconds. At time interval from t=0s to t=4s, the rabbit starts from rest and has a constant acceleration of 5m/s^2. Applying the formula `d= v_i Delta t + 1/2a Delta t ^2` it traveled a distance of `d_(R1) = 0 + 1/2 (5)(4)^2`   `d_(R1) = 40`  meters Next, applying the formula `v_f = v_i + a Delta t` the maximum speed of the rabbit is: `v_(R) = 0 + 5*4` `v_(R) = 20` m/s At the time interval from t=4s to t=8s, the rabbit is running at a constant speed v_(R). So, its acceleration is zero. It has traveled a distance of `d_(R2) = v_(R) Delta t +1/2a Delta t^2` `d_(R2) = 20 * 4 + 0` `d_(R2) = 80m` Hence, the rabbit has traveled a total distance of `d_R= d_(R1) + d_(R2)` `d_R = 40 + 80` `d_R = 120 m` To determine the distance traveled by the fox, apply the formula: `d= v_i Delta t + 1/2at^2` Since the fox starts from rest and ac...

The Vietnam War caused massive protests and significant distrust in the government for several reasons. Many people didn’t understand why we were fighting in Vietnam. They believed this was an unnecessary war, and they protested over our involvement in it. They also felt the Vietnam War discriminated against minorities and the poor. Those who were in college were able to have their deployment deferred. The poor and some minority groups were less likely to be in college. As a result, they were more likely to be sent to fight in Vietnam. Additionally, as more and more people were being killed in the war, the number of protests against our involvement in it increased. People also began to distrust the government. This war was the first war that was covered on television. The images that people saw and the stories that they heard didn’t match what the government was telling them. The government kept saying the war was almost over, but more troops were being sent to Vietnam. The number of s...

The Integral test is applicable if f is positive and decreasing function on the infinite interval `[k, oo) ` where `kgt= 1 ` and `a_n=f(x)` . Then the series `sum_(n=1)^oo a_n` converges if and only if the improper integral `int_1^oo f(x) dx` converges. If the integral diverges then the series also diverges. For the given series `sum_(n=1)^oo 1/n^(1/4)` , the `a_n = 1/n^(1/4)` then applying `a_n=f(x)` , we consider: `f(x) = 1/x^(1/4)` .   As shown on the graph of f(x), the function is positive on the interval `[1,oo)` . As x at the denominator side gets larger, the function value decreases.   Therefore, we may determine the convergence of the improper integral as: `int_1^oo 1/x^(1/4) = lim_(t-gtoo)int_1^t 1/x^(1/4) dx` Apply the Law of exponents: `1/x^m = x^(-m)` . `lim_(t-gtoo)int_1^t 1/x^(1/4) dx =lim_(t-gtoo)int_1^t x^(-1/4) dx` Apply the Power rule for integration: `int x^n dx = x^(n+1)/(n+1)` . `lim_(t-gtoo)int_1^t x^(-1/4) dx=lim_(t-gtoo)[ x^(-1/4+1)/(-1/4+1)]|_1^t`              ...

Rob Roy is set during a particularly tumultuous time in Scottish history, that of the Jacobite Rising of 1715. The Jacobites supported the replacement of sitting monarch George I, the Elector of Hanover, with James Francis Edward Stuart, also known as the Old Pretender. The Stuarts had been ousted from power with the Glorious Revolution of 1688 because of James II's Catholicism. Walter Scott displays nostalgia for the Old Scotland throughout his works, particularly the Bride of Lammermoor and his Waverly series, but he also recognizes the positive qualities in the idea of Great Britain, which you can see in Jeanie's journey in the Heart of Mid-Lothian, and was an advocate of the Union. He was also a conservative and proud member of the Tory party.  You might consider noting the instances of betrayal as they relate to politics. Rashleigh, for example, though purporting to stand with the Jacobites, ultimately betrays them for his own gain. Likewise with Diana's father, which ...

Grendel is frequently described as one of the descendants of Cain, and thus he is forced to wander the world in isolation, cut off from civilization and community. It's suggested that the light-filled joy of Heorot, with its many feasts and gatherings of large groups of people, anger Grendel, and so he attacks the mead hall in order to put an end to the merriment. This aspect of  Beowulf  is one of the most interesting parts of the poem. Grendel, for all his demonic cunning, is not necessarily pure evil; rather, he's an outcast, an isolated loner who seems to long for some kind of community and is unable to deal with the fact that others experience joy while he does not. Thus, even though he is one of the villains of the story, Grendel becomes almost sympathetic, as he attacks Heorot in order to put a stop to the joyful celebrations that remind him that he is alone. 

Your desire to narrow this topic is a good one, because right now you're trying to do several different things. All of them are substantial, and putting them together is likely to overwhelm a speech this short. Just for clarity, you are trying to do several different things: Persuade millennials to vote. Convince millennials their vote is important. Persuade millennials to use social media networks to keep up with politics. Persuade millennials to use social media networks to get others to vote. That's too much to cover in one brief talk, so, as you thought, you want to narrow down the idea. To start, there are two general ways to cut it down: Select the most important item or items and eliminate the others. Identify the most important item and make everything else a stepping stone to that goal. Personally, I'd combine the two. I'd try to persuade millennials to vote (because their vote is so important), and to enlist others to vote in all ways possible, including by ta...

One of the challenges for constructing an outline for Faulkner's story, "A Rose for Emily" is the fact that the plot is not in linear order. Instead, the narrative moves backward and forward in time. Since the plot is not in chronological order, time does not control the parts of the plot such as the exposition, problem, rising action, climax, falling action, and resolution. Instead, the reader must take another approach toward ordering Faulkner's story's plot that is filled with flashbacks. Exposition  This is the part of the plot that introduces the characters and their conflicts. The main character, Miss Emily Grierson, now dead, is introduced as ...a tradition, a duty, and a care; a sort of hereditary obligation upon the town. Problems are introduced in this exposition, which is a flashback. As Miss Emily lived in the past and was dominated by her Old South father, who acted as a patriarch. As an example of this, after her father's death, Colonel Sartoris...

The central question about McCandless is exactly the one you ask—was he a visionary, or a fool? There is no simple answer to this, other than to say he was a little bit of both. I think McCandless very much thought he was following a dream, and that his adventure in the wilderness would be transformative in a spiritual way. That is, his decision to retreat to Alaska is driven in part by his anger at his parents, particularly his father, who McCandless saw as a liar and hypocrite, and by a belief, fueled by his reading of Thoreau and Tolstoy, that self-reliance could purify his spirit, grant him greater self-knowledge, and bring him some measure of inner peace. On the other hand, McCandless can also be seen as emblematic of a certain kind of hubris. He truly believes that he can survive in the wild. Partly, his self-confidence comes from his youth—when you are twenty, you think you can handle anything—and partly from a certain kind of middle class privilege. Whatever McCandless thought ...

 From a table of power series, recall that we have: `arctan(x) = sum_(n=0)^oo (-1)^n x^(2n+1)/(2n+1)` To apply this on the given problem, we replace the "`x` " with "`x^2` ". We get: `arctan(x^2) =sum_(n=0)^oo (-1)^n (x^2)^(2n+1)/(2n+1)`                         `=sum_(n=0)^oo (-1)^n x^(2*(2n+1))/(2n+1)`                         `=sum_(n=0)^oo (-1)^n x^(4n+2)/(2n+1)`                         `= x^2 -x^6/3+x^10/5-x^14/7 +...` The integral becomes: `int_0^(1/2) arctan(x^2)dx = int_0^(1/2) [x^2 -x^6/3+x^10/5- ...]` To determine the indefinite integral, we integrate each term using Power Rule for integration: `int x^n dx = x^(n+1)/(n+1)` .      `int_0^(1/2) [x^2 -x^6/3+x^10/5-...]` `=[x^3/3 -x^7/21+x^11/55-...]_0^(1/2) `   Applying definite integral: `F(x)|_a^b = F(b)-F(a)` . `F(1/2) or F(0.5)=0.5^3/3 -0.5^7/21+0.5^11/55- ...`                             `= 0.0416667 - 0.0003720+0.0000089-...` `F(0)=0^3/3 -0^7/21+0^11/55-...`           `=0 -0+0 -...`     All terms go to ze...

Edgar Allan Poe's mystery stories broke new ground because of his imaginative plot lines.  Three of his stories are widely regarded to be the first American detective fictions: "The Murders in the Rue Morgue," "The Mystery of Marie Roget," and "The Purloined Letter," and feature a gifted amateur detective, C. Auguste Dupin. "The Murders in the Rue Morgue" was sensational because of its murderer: a razor-wielding orangutan.  Dupin is able to solve this, and the other two crimes, through his formidable intelligence, empathy, and his use of what Poe called "ratiocination," a technique of reasoning. Other Poe mysteries, "The Gold Bug," "Thou Art the Man," and "The Man of the Crowd" introduced staples of modern detective fiction including the use of surveillance, code-breaking, and forcing a suspect's confession. Sir Arthur Conan Doyle, British author of the Sherlock Holmes mysteries, called Poe's wo...

Take note of how different Edward Taylor's language might seem from how we speak and write in the present day, yet we are still able to understand his poems, such as "Huswifery."   Taylor spoke and wrote in a time where much transition and transformation was occurring in the English language. Taylor was born and educated in England but traveled to the Massachusetts Bay Colony as a grown man, and already the language in these two places would have been markedly different. England was still experiencing the aftermath of the Great Vowel Shift, but speakers in the Colonies were encountering a much wider variety of native tongues and accents, all of which have had a part in forming the American accent. In this transitional period, English was transforming from Middle English (whose pronunciation found much more local particularities) to the more highly standardized Modern English. We call this in-between period Early Modern English. This language is really not so archaic at al...

I'll focus my answer on the Civil Rights Era, which began in the mid-1950s and reached its peak in the late-1960s. Most advances were made at this time due to there being a great deal of political activism, particularly in the South. On the national level, the response to Civil Rights activism varied depending on who was president. Eisenhower had unwittingly seated Earl Warren as Chief Justice of the Supreme Court. Warren was a moderate who, with his role in the Brown vs. Board of Education decision, would become a leading figure in the effort to integrate public institutions. His own efforts toward Civil Rights were modest. Like Truman, he promoted an effort to discourage segregation in government contract jobs, but did not make many inroads beyond that. President Kennedy was mostly concerned with foreign policy. However, in 1963, his position shifted. He was horrified by the police's violent reactions to protesters in Birmingham, and by the violence with which Freedom Riders ...

The Industrial Revolution began in England in the late 1700s and progressed to the United States by the 1820s. Prior to the Industrial Revolution, most people lived on farms in small, rural communities and relied on agriculture for their livelihood. Most manufacturing was done with basic tools and machinery in people's homes or in small shops. People made the items they needed, such as clothes, shoes, candles, and soap, and would occasionally exchange these items for food or other goods. Farmers frequently lived in fear that their crops would fail and that they would not be able to provide for their families.  One of the main factors that shifted the manufacturing of these goods from homes to factories was the invention of the spinning frame by Richard Arkwright and John Kay in England in the early 1760s. The spinning frame allowed yarn to be spun from cotton, wool, and flax in a mechanized way for the first time. The spinning frame was developed into the water-powered water frame ...

William Paul Young's novel  The Shack is a work of fiction. The author calls it "true" fiction, and compares it to a parable. The characters in the novel are fictional, but some elements of the book are autobiographical. Mackenzie Allen Phillips bears some similarities to the author, and Missy bears some similarities to people in the author's life, but the details are fictionalized.  William Paul Young was a missionary's son and grew up among the Dani tribe of Papua New Guinea. His parents were both missionaries there and were very busy with the work they were doing. Paul describes his experience there as being raised by the members of the Dani tribe, spending time with them from early morning until dark every day. He overheard them plotting to kill his parents. He was sexually abused by members of the tribe.  Paul describes  The Shack  as a metaphor for the pain we all carry inside us. He talks about his own personal shack taking 38 years to construct. He talks ...