Onboard Note

The setting of chapter 1 isn't entirely one exact place. The chapter contains a little bit of detail regarding the town of Treegap, the "touch-me-not" house, a road, and a wood: On the left stood the first house, a square and solid cottage with a touch-me-not appearance, surrounded by grass cut painfully to the quick and enclosed by a capable iron fence some four feet high which clearly said, "Move on—we don't want you here." So the road went humbly by and made its way, past cottages more and more frequent but less and less forbidding, into the village. But the village doesn't matter, except for the jailhouse and the gallows. The first house only is important; the first house, the road, and the wood. There really isn't anything strange about the town of Treegap. The "touch-me-not" cottage is a bit strange in the fact that it doesn't present itself as welcoming, but the real strangeness is found in the road and wood. Readers are told tha...

Feminism can be defined as the political and social movements that champion the rights of women, promote equality of sexes in a patriarchal society, and support female empowerment. In Toni Cade Bambara's short story, the protagonist, Hazel Elizabeth Deborah "Squeaky" Parker, is depicted as a strong, talented female character with high aspirations. Hazel's mindset, confidence, and personality embody the feminist ideology and illustrate female empowerment. Squeaky is the fastest person in her age group and never backs down from a challenge. She does not fear any boy or girl and confidently believes that she will take home the first-place medal at the May Day races. Squeaky's main competitor is also a female, who is new to the neighborhood and known as a talented athlete. Squeaky demonstrates her talent by winning first place and reveals her leadership skills by committing to coaching her differently abled brother, Raymond. Squeaky's role as a strong, confident f...

In chapter 8, Harper Lee juxtaposes the coldest weather Maycomb has experienced since 1885 with Miss Maudie's house fire to foreshadow the upcoming division and conflict among the citizens regarding the Tom Robinson trial. The extremely cold weather and the fire are both destructive natural forces that serve as a portent to the hazardous effects of racism that will negatively influence the community and cause conflict throughout the pleasant, small town. As the Tom Robinson trial approaches, citizens begin to bicker with one another, and they criticize Atticus for defending a black man. During the trial, Maycomb's overt prejudice is exposed, and this prejudice is ultimately responsible for the death of an innocent man. The children also lose their childhood innocence after witnessing racial injustice firsthand. Then, Bob Ewell seeks revenge by attempting to murder Jem and Scout. Overall, Harper Lee's juxtaposition in chapter 8 foreshadows the harmful effects of racism in th...

The narrator attempted to open an account secretly. Upon entering the bank, the narrator asked to speak to the manager privately. Because of the narrator's nervous agitation and air of secrecy, the manager assumed that he was dealing with a private detective. After questioning him, however, the manager discovered that the narrator merely wanted to open an account. For his part, the manager assumed that the narrator was, at the very least, a relatively wealthy man. After all, the latter's cautious manner seemed to suggest it. Upon discovering that the narrator wanted to deposit a mere fifty-six dollars into his new account, the manager dropped his previously ingratiating manner. Unceremoniously, the manager referred the narrator back to the accountant. By this time greatly embarrassed, the narrator unwittingly stepped into the safe. Coldly, the manager ordered the narrator to vacate the room. The accountant then assisted the narrator in depositing his money. Immediately after, t...

Sonnet 55 uses the form and structure that is now called the "Shakespearean" sonnet because of Shakespeare's use of it throughout his sonnet cycle. It differs from the Petrarchan sonnet form that was more commonly used at the time of Sonnet 55's writing. As with all sonnets, the poem has fourteen lines. However, its rhyme scheme differs from that of Petrarchan sonnets in a way which helps Shakespeare set up and execute the argument of the sonnet and then bring it to a conclusion in the closing two lines. The rhyme scheme of the Shakespearean sonnet is ABAB CDCD EFEF GG. The rhyme scheme of a Petrarchan sonnet, by contrast, is ABBAABBA CDECDE. There are other sonnet types (see the link below). But perhaps the reason Shakespeare chose the form he did (which is named after him, but which he did not actually invent himself) is that it is a more appropriate vehicle for the points he wished to convey. In Sonnet 55, we can see how the structure with a rhyming couplet as the ...

The Atwood "story" does several things at once.  It is a guide of sorts, a kind of lesson to aspiring writers about how plot works, and about how stories end. Her point, given at the end of the piece, is that plot is simply a "what and a what and a what," a series of empty events with interchangeable details and characters. The only true ending, as she says, is that "John and Mary die." The examples she uses, the story of John and Mary in all its permutations, lays out in a purposely schematic way the sexual politics of John and Mary's relationship. Mary either allows herself to be used by John because she hopes he will marry her (story B) or because she feels sorry for him (C), but in each case Mary is frustrated because John cannot meet her needs. Neither John nor Mary is very clear on what their real needs might be, and it is ironic and tragic that neither John's ability to act nor Mary's more limited ability to get what she wants leads to a...

I believe that this question is asking about events in chapter seven. Phillip and Timothy have finally gotten themselves ashore on a small, deserted island. Timothy leaves to scout out the island and find a suitable location for shelter. When Timothy returns, he tells Phillip that the island is quite small, but it has some positives to it. Phillip is suspicious, though, that Timothy isn't giving him all of the information. "You are worried about something, Timothy.  Please tell me the truth. I'm old enough to know." Timothy then confides to Phillip that they are likely in an area known as the "Devil's Mouth." It is an area of ocean and islands that is not frequented by ships. It is a dangerous area for ships because of the numerous sharp coral banks. Timothy says that it's a large "U-shaped ting." The small cay that they are on is one of many small cays that is contained within the ring of coral. The coral prevents ships from getting close,...

It is clear throughout the novel that Nick comes to view Gatsby as a man with noble character. Nick gets sucked into and enthralled by the world that Gatsby lives in, and also comes to understand his fascination and obsession with that world; Gatsby has come by his fame and fortune by "humble beginnings" in Nick's eyes. He wasn't born into a wealthy family, but was a fortunate recipient and thankful patron of the life he lived. Nick also realizes throughout the novel that none of Gatsby's aura of golden living was for himself, but for love. Gatsby is humble, generous, welcoming, and vulnerable to Nick. Although he is a part of this "rotten" social circle, Gatsby is vastly different than Tom and Daisy and their own obsessions of wealth, appearance, and shallow friendships. Gatsby can never truly fit in with the crowd of old money, taught class and arrogance, and selfishness. He was born into a poor family, an army man, and had to work his way into the whi...

Recall that int f(x) dx = F(x) +C where: f(x) as the integrand function F(x) as the antiderivative of f(x) C as the constant of integration.. For the given problem, the integral: int x/sqrt(9+8x^2-x^4)dx does not yet resemble any formula from table of integrals. To evaluate this, we are to apply u-substitution by letting: u = x^2 then u^2 = x^4 and du = 2x dx or (du)/2 = x dx . Then the integral becomes: int x/sqrt(9+8x^2-x^4)dx =int x dx/sqrt(9+8x^2-x^4) =int ((du)/2)/sqrt(9+8u-u^4) Apply the basic property of integration: int c f(x) dx = c int f(x) dx to factor out 1/2 . int ((du)/2)/sqrt(9+8u-u^4) = 1/2int (du)/sqrt(9+8u-u^4) The integral does not yet resembles any integration formula. For further step, we apply completing the square on the part: 9+8u-u^2 . Completing the square: Factoring out -1 from 9+8u-u^2 becomes: (-1)(-9-8u^2 +u^2) or -(u^2 -8u-9) . u^2 -8u-9 resembles ax^2 +bx+c where: a=1 , b= -8 and c=9 . To complete the sq...

The Bible is pro-private property rights. There are many passages that support this. Accordingly, all Governments — throughout the world, nationally, and locally — should protect private property rights. God knows that personal ownership of private property is fundamental to every individual’s ability to express his best possible self as a reflection of his being created in God’s image (I will unpack that idea in this study). In addition, private property rights are fundamental to personal and national fruitfulness (we will see examples of this in what follows also). So read on, my friend, and learn more about how you can justify such beliefs based upon what God has said in His Word. This is most definitely a personal opinion question. Different people are going to feel quite strongly about various answers. Some people are going to emphatically favor this type of legal system while others are going to emphatically be against it. My recommendation is to pick whichever argument you feel ...

In "After Twenty Years," O. Henry molds his main characters with a certain anonymity that provides some foreshadowing while at the same time providing for the surprise ending. Foreshadowing In the exposition of the story in which two old friends have agreed to meet twenty years after their parting ways, the first character who is introduced is simply referred to as the "policeman." Also, since this policeman, an officer of the law who patrols a certain neighborhood, is a familiar personage to readers of O. Henry's time, there is nothing about him which would lead these readers to think that he has a primary role in the narrative. His routine questioning of the man waiting for his old friend in the doorway arouses no suspicions, either, but it does provide subtle foreshadowing as the man's lighting of his cigar reveals a "little white scar near his right eyebrow" and a large diamond as a scarfpin. Another very subtle hint of what is to come are some...

The universal truth presented by Golding through these themes is a sobering one. It is that mankind, despite what we might like to believe, is not fundamentally good. Rather, we are fundamentally evil, and left totally to our own devices, without some kind of institution to regulate us, we are always subject to reverting to our base instincts, what Sigmund Freud called the "id," that will overcome whatever sense of morality that exists within us. There is much in the novel that supports this pessimistic view. As for the theme of power, we can see that as the novel goes on, the basis for power is contested and indeed changes over time. At first, the boys seek to replicate, at least somewhat, the order that existed at their school. Piggy and Ralph, in their attempts to establish this order, base their efforts on reason and intellect, which Piggy, in many ways, represents. The conch, for example, becomes an emblem of power, one which summons the boys to the beach. When asked whe...

In the preface to the second edition of The Formation of a Persecuting Society, Robert I. (R.I.) Moore notes that his study of systemic persecution of certain categories of individuals should in no way be interpreted as suggesting is a focused study of a specific period of time and that extrapolations based upon his findings should be applied with caution. He also warns against interpreting his findings as constituting an indictment of "the Church" relative to other institutions and prejudices, writing that "the Church was not the sole, or even the principle agent of persecution." Moore's point, then, was that the phenomenon of institutional or systemic persecution was not limited to any one institution, such as the Church, or to any one government, people, or culture. And therein lies the enduring problem of persecution: it survives the passage of time and crosses borders. It could be said to be a part of the human condition, and therein lies the tragedy. One o...

In Wealth of Nations, economist Adam Smith foretells of the coming of globalization.  In the book, he describes how Western Europe has benefited from receiving the raw materials of North America, such as its precious metals, agricultural commodities, and timber.  However, to Smith, this is not enough to change the world.  He then goes on to describe how the discovery of America has changed the economies in Poland and Hungary, two central European nations that did not have a direct colonization role in the New World.  Smith describes how trade networks connect Western Europe with Central and Eastern Europe and how it seems that people everywhere covet goods that were in some way produced in America, such as chocolate.  In order to receive these goods, people in Eastern and Central Europe have to improve their own industrial capacities in order to fully participate in the global trade.  With the discovery of America, everyone who trades with the colonizers prosper.  This expanding of mar...

The Gospel of Matthew follows many of the ancient traditions of the biography of the holy man, a subgenre of the encomium. The traditional elements of the genre, as set out in Menander Rhetor and other rhetoricians of the period, include distinguished ancestry, miraculous signs at birth, evidence of precocious childhood, and famous deeds and sayings.  The Gospel of Matthew derives its materials from two sources, the Gospel of Mark and a collection of the sayings of Jesus sometimes called "Q". Some of this material was shaped into typical rhetorical forms such as the chreia ( a short narrative followed by a moral maxim).  The Gospel of Matthew begins with an extended genealogy tracing Jesus' ancestry back to Abraham and then describes his miraculous conception and the events surrounding his birth. The central section begins with Jesus' encounter with John the Baptist, focuses on the ministry of Jesus, and incorporates many of his sayings and teachings. The central sect...

The Selection is the first installment in The Selection Series by Kiera Cass. The novel can be categorized under the young-adult, dystopian, romance categories and can be compared with both The Bachelor and Cinderella. In the distant future, war has given rise to the kingdom of Illéa, a society divided into eight castes. The novel begins with the protagonist, America Singer, receiving a letter indicating she is a candidate in the upcoming Selection, a contest in which thirty-five girls must compete for the affection of the Royal Prince. Though most view the Selection as an opportunity of a lifetime, America has no desire to be a participant and despises having to leave everything she knows and love behind to fight for a prince and title she doesn't even want. However, everything changes once America finally meet Prince Maxon, including her priorities, plans, and purpose.

Dante explores the numerous circles of Hell in this story, in each of which a different sin is relegated. Throughout the story we have seen the punishments for a number of terrible sins, and in Canto 18, we come to the area where fraud is punished. The eighth circle of Hell, one of the worst, holds the eternal punishment for sinners guilty of fraud. Within this circle is the priest, normally considered a holy man, and Dante is shocked to find a clergy member here in Hell. However, this gets to the heart of sin—that anyone can fall deeply into it. The priest is guilty of defrauding his congregation, and this is what Dante wants to comment on in the Catholic Church. He is angered at the amount of deception in the church and wants to condemn it in this work. Dante’s 18th Canto in this work explores the eighth circle of Hell, where those who sinned by fraud are sent after death. He has the circle divided into three groups for various types of fraud and their associated punishment. It is in...

The famed English poet W. Somerset Maugham wrote this interesting version of this, said to be an ancient Mesopotamian fable or folktale. The tone is fascinating because it is deceptively simple and somewhat misleading because of the point of view. The author clearly indicates the point of view with the centered line that begins the fable: "The speaker is Death." Death relates the story of the Baghdad merchant who sends his servant to the marketplace, and the servant recounts his frightening experience there, seeing Death. Death is a woman, and the servant says that Death jostled him and "made a threatening gesture." The servant asks the merchant to lend him a horse so he can ride to Samarra, to escape Death's plans for him. Death then says the merchant went to the marketplace and "saw me in the crowd" and asked about the incident: Then the merchant went down to the marketplace and he saw me standing in the crowd and he came to me and said, Why did you ...

You need to find out if the mean value theorem can be applied to the the given function, hence you need to verify if the function is continuous on [0,pi] and differentiable on (0,pi), and it is, since all trigonometric functions are continuous and differentiable on the interval. Since the mean value theorem can be applied, then there is a point c in (0,pi), such that: f(pi) - f(0) = f'(c)(pi-0) You need to evaluate f(pi) and f(0): f(pi) = cos pi + tan pi => f(pi) =-1 + 0 = -1 f(0) = cos 0 + tan 0 => f(0) = 1 + 0 = 1 You need to determine f'(c): f'(c) = -sin c + 1/(cos^2 c) Replacing the found values in equation f(pi) - f(0) = f'(c)(pi-0) yields: -1-1 = pi*(1/(cos^2 c) - sin c) -2 = pi*(1/(cos^2 c) - sin c) Replace 1 - sin^2 c for cos^2 c : -2 = pi*(1/(1 - sin^2 c) - sin c) You need to use the substitution sin c = v: -2 = pi*(1/(1 - v^2) - v) => -2 = pi(1 - v + v^3)/(1 - v^2) 2v^2 - 2 = pi - pi*v + pi*v^3 pi*v^3 - 2v^2 - pi*v + pi + 2 = 0 Since there is no solu...

Yes, we can say that India is a democratic country. A former and highly prized colony of the British Empire—India was considered “the jewel in the crown” of the empire—Independent India adopted a parliamentary system of government modeled on that of the British. Part III of India’s constitution, which is far more voluminous than that of the United States, specifies the rights of the country’s citizens, including such fundamental concerns as speech, assembly, and religion. Section 19 of this provision reads as follows: 19. Protection of certain rights regarding freedom of speech, etc: All citizens shall have the right to freedom of speech and expression; • Freedom of expression b. to assemble peaceably and without arms; • Freedom of assembly c. to form associations or unions or co-operative societies; • Freedom of association • Right to join trade unions • Freedom of movement d. to move freely throughout the territory of India; e. to reside and settle in any part of the territory of Ind...

The figure from Ancient Greek mythology who makes an appearance in section three, "The Fire Sermon," of T.S. Eliot's The Wasteland is the prophet Tiresias, a character who appears in Homer's The Odyssey and several Greek dramas as well. Tiresias has both male and female features and, though he is blind, he has the ability to see into the future. Tiresias is the speaker of section three, which primarily focuses on sexual relationships between men and women, as well as homosexual relationships. That Tiresias is the one commenting on love and relationships between men and women is particularly significant because of the prophet's ambiguous gender. The description of Tiresias in the poem combines traditionally male and female attributes: I Tiresias, though blind, throbbing between two lives, Old man with wrinkled female breasts, can see. This description, along with Tiresias's ability to see the future, would seem to give the prophet the unique authority to commen...

Remember that literary devices include not only figures of speech, but also techniques such as the use of imagery, allusion, and irony. Fortunately, Harper Lee is a master of all of the above, and To Kill a Mockingbird has ample examples of them on practically every page. Chapter 12 is the beginning of the second part of the book. This is when Calpurnia takes Jem and Scout to her church because Atticus is gone. Lula, a member of Cal's church, notices the children coming and is described through metaphorical imagery as follows: She was bullet-headed with strange almond-shaped eyes, straight nose, and an Indian-bow mouth. (119) With such visual imagery, the reader can picture the shape of Lula's head, eyes, nose, and mouth by drawing upon words and phrases that they understand in the world around them. For example, bullets and almonds have a similar shape, very much like an Indian's bow. Hence, not only does Lee use imagery and metaphors to describe this character, but she al...

a.) Determine the equation of the tangent line to the graph of $y=g(x)$ at $x = 5$ $\text{ if } g(5) = -3 \text{ and } g'(5) =4$ b.) Suppose that the tangent line to $y = f(x)$ at $(4,3)$ passes through the point $(0,2)$. Find $f(4)$ and $f'(4)$ $\text{a.) }$ Using point slope form $y - y_1 = m(x-x_1)$ Recall from the definition that the derivative of the function is equal to the slope so, $ \begin{equation} \begin{aligned} m &= g'(5) = 4\\ y-(-3) &= 4(x-5)\\ y+3 &= 4x-20\\ y &= 4x - 20 - 3\\ y &= 4x-23 \end{aligned} \end{equation} $ $\text{b.) }$ The line passes through the points $(4,3)$ and $(0,2)$ so we can use two point form to determine the equation of the line. $ \begin{equation} \begin{aligned} y - y_1 &= \frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ y-3 &= \left( \frac{2-3}{0-4} \right) (x-4)\\ y-3 &= \frac{1}{4} (x-4)\\ y-3 &= \frac{x}{4}-1\\ y &= \frac{x}{4}+2\\ f(x) ...

As the group of travelers approaches the land of the Kukuana, they are met by a group of locals led by Infadoos, son of Kafa, and Scragga, son of the reigning King of the Kukuanas, Twala. Infadoos’s father, Kafa was a King. When he died, the kingship was passed on to Imotu, who was Infadoos’s half-brother. However, Imotu had a twin brother who was secretly kept alive by their mother, in spite of their traditions—according to the customs of the Kukuana people, the weaker one of the twins must die. The weaker twin was called Twala. According to Infadoos, when Imotu was King, there came a famine upon the people. At this time, Imotu already had a three-year-old son by his favorite wife. The boy was called Ignosi. The people complained because of the ravaging famine. Gagool, the wise and terrible woman, took advantage of the situation to introduce Twala as the people’s new King. Upon being proclaimed as King, Twala murdered his twin brother Imotu and took over the kingship. Imotu’s wife and...

At the beginning of chapter eleven, Randy Adderson visits Ponyboy, who is still physically trying to recover from the rumble and struggling psychologically with the tragic deaths of his two close friends. When Randy arrives, he tells Ponyboy that he is simply visiting to see if he is doing okay. However, Randy immediately begins talking about their upcoming court hearing. After Randy mentions that his father is extremely upset by the entire ordeal, he attempts to set the record straight by telling Pony that Bob Sheldon stabbed Johnny in the park. However, Pony insists that he had the knife and was responsible for killing Bob. When Randy tells Pony that he is wrong, Pony begins to scream that Johnny is not dead, which prompts Darry to ask Randy to leave. One can surmise that Randy not only wanted to see if Pony was okay but also was interested in corroborating their stories before the trial. Randy doesn't want the judge to think he or Pony is lying, which is why he wanted to make su...

Pygmalion is a withering critique of Victorian society and its class structure. The upper-class professor of phonetics, Henry Higgins, sets out to transform a humble Cockney sparrow into a lady of quality, whom he will then introduce to high society. Higgins's behavior exemplifies the general level of contempt displayed by the upper-classes toward those they regarded as their social inferiors. He doesn't value Eliza Dolittle or accept her for who she is; he sees her as a problem to be solved by means that are both manipulative and exploitative in equal measure. At the same time, the artificial methods used by Higgins to transform Eliza into a high-class social butterfly expose the artificiality of the class structure that existed at the time. If someone of Eliza's humble social origins could be passed off as a refined upper-class lady after a relatively short program of instruction and training, then that would seem to suggest that so-called good breeding is ultimately irre...

x/(x^2-9)+(x+1)/(x^2+6x+9) Apply the following identities to factorize the denominators of the above rational functions: a^2-b^2=(a+b)(a-b)  and a^2+2ab+b^2=(a+b)^2 x/(x^2-9)+(x+1)/(x^2+6x+9)=x/(x^2-3^2)+(x+1)/(x^2+2x(3)+3^2) =x/((x+3)(x-3))+(x+1)/(x+3)^2 LCD of the above expression is (x-3)(x+3)^2 =(x(x+3)+(x+1)(x-3))/((x-3)(x+3)^2)  =(x^2+3x+x^2-3x+x-3)/((x-3)(x+3)^2) Combine the like terms of the numerator, =(x^2+x^2+3x-3x+x-3)/((x-3)(x+3)^2) =(2x^2+x-3)/((x-3)(x+3)^2) Factorize the numerator by splitting the middle term, =(2x^2-2x+3x-3)/((x-3)(x+3)^2) =(2x(x-1)+3(x-1))/((x-3)(x+3)^2) =((2x+3)(x-1))/((x-3)(x+3)^2)  

Suppose that a cylindrical tank holds a 100,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume $V$ of water remaining in the tank after $t$ minutes as $\quad \displaystyle V(t) = 100,000 \left( 1 - \frac{t}{60} \right)^2 \qquad 0 \leq t \leq 60$ Determine the rate at which the water is flowing out of the tank for times $t =$ 0, 10, 20, 30, 40, 50 and 60 $min$. Find the flow rate and the amount of water remaining in the tank. Also, determine the time at which the flow rate is least and greatest. Based from the definition, $f'(a) = \lim\limits_{h \to 0} \frac{f(a+h)-f(a)}{h}$ $ \begin{equation} \begin{aligned} \nu'(t) & = \lim\limits_{h \to 0} \frac{\nu ( t + h ) + \nu (t)}{h}\\ \nu'(t) & = \lim\limits_{h \to 0} \frac{100,000 \left( 1 - \frac{(t+h)}{60}\right)^2 - \left[ 100,000 \left( 1 - \frac{t}{60} \right)^2\right]}{h}\\ \nu'(t) & = \lim\limits_...

Aristotle (384–322 BC) and Immanuel Kant (22 April 1724 to 12 February 1804) were separated by over 2,000 years and lived in very different cultural contexts. Aristotle was a pagan whose religious beliefs were grounded primarily in philosophical thought, especially that of his teacher Plato. Kant on the other hand was a Christian and member of the Lutheran denomination. While both philosophers believed in a degree of inherent racial and gender differences, only Aristotle accepted the existence of "natural slavery," and his work was grounded in a differentiation of gender roles that was much more exaggerated in ancient Greece than in Enlightenment Germany. Aristotle was concerned primarily with "eudaimonia" or "well-being," the condition of flourishing for an individual human. His ethics tend to be derived inductively. He treats ethics as inextricably linked with politics and the flourishing of the individual human bound tightly to social situation. Friends...

The conflict of this story is that the landlady, Mrs. Purdy, does not want to tell the young man who comes to rent her room that a young girl committed suicide in the room shortly before he arrived. The young man is searching fruitlessly for this woman, whose name is Eloise Vashner, who sings on the stage. He has traveled everywhere looking for her, and while he is sitting in the decrepit, depressing room, he whiffs a slight odor of her perfume. The scent is personified as O. Henry writes, "It came as upon a single buffet of wind with such sureness and fragrance and emphasis that it almost seemed a living visitant." The odor itself is a teasing visitor. The man in the story senses that the woman he is searching for has been here, but he searches in vain for any definite evidence of her presence aside from the fleeting scent. He looks at the personal effects in the room, but they are the generic sort that could belong to anybody. When he questions the landlady, she denies that...

You may use the reduction method to solve the system, hence, you may multiply the first equation by 3, such that: 3(x + y + z + w) = 3*6 3x + 3y + 3z + 3w = 18 You may now add the equation 3x + 3y + 3z + 3w = 18 to the third equation -3x + 4y + z + 2w= 4 , such that: 3x + 3y + 3z + 3w - 3x + 4y + z + 2w= 18 + 4 7y + 4z + 5w = 22 Adding the first equation to the second yields: 3x + 4y + z = 6 Adding the second equation to the last yields: 3x + 5y - z = 0 Adding the resulted equations yields: 6x + 9y = 6 => 2x + 3y = 2 Multiply the second equation by 2 and add it to the third, such that: x + 10y + z = 4 Add this equation to the 3x + 5y - z = 0 , such that: 3x + 5y - z + x + 10y + z = 0 + 4 4x + 15y = 4 Consider a system formed by equations 4x + 15y = 4 and 2x + 3y = 2, such that: -2*(2x + 3y) + 4x + 15y = -4 + 4 -4x - 6y + 4x + 15y = 0 9y = 0 => y = 0 You may replace 0 for y in equation 2x + 3y = 2 , such that: 2x + 0 = 2 => x = 1 You may also replace 1 for x and 0 for y in eq...

Rococo style flourished among the wealthy between about 1730 and 1770, and is mostly associated with the French Bourbon court at Versailles, although it spread throughout Europe. It is representative of its time because the mid-eighteenth century was a period in which absolute monarchy, expressed most fully by Louis XVI ("I am the state") was as yet unchallenged, and it also represents a time in which colonial wealth continued to flood into Europe, and much of this wealth was captured by the upper classes. In this period of European history, despite the rise of the middle class, the preponderance of wealth was firmly held in the hands of a small group of extremely rich aristocrats and royals Rococo is most noted for what some have called its "wretched excess," and its adoption reflected the desire of kings (such as the Bourbons) to flaunt their wealth and power to impress others. Rococo is based in the Baroque, which moved away from squares and perpendiculars to emb...

Calling The Merchant of Venice a play about averted threats ending in happiness is a description that in some ways, but not all, sums up the play. The main crises averted are, first, the threat that Portia might be married to a man she despises, and second, that Antonio will have to allow Shylock to cut a pound of flesh from his heart. In both cases, a heart would be cut out—Portia's metaphorically (by being denied marriage to the man she loves and respects) and Antonio's literally. Married to the wrong man, Portia would experience a form of death; Antonio would experience a literal death without his heart. The two crises, as we can see, are thematically linked. Portia's is averted not through her agency, but through either good fortune or Bassanio's wisdom in selecting the correct casket. Her fate is caught up in a legal system that allows a father to sacrifice his daughter to his whims. Antonio is also caught in a cruel legal system, dependent on Portia's mind and...

Although the Byzantines considered themselves to be Romans, the distinction between the two terms, “Romans” and “Byzantines” mainly derives from our historical separation of the Western and Eastern Roman Empires. When the emperor, Diocletian, divided the Roman Empire in 286 A.D., he believed that the two sections of the empire: the West and the East, would be best ruled separately, with the two emperors working together cooperatively. Emperors who came after Diocletian disagreed and tried to reunite the two halves of the Roman Empire, but with the increasing frequency and success of barbarian invasions by the Goths, Huns, and Germanic tribes, these emperors were unsuccessful in their attempts to rule single-handedly. Today, we understand the term “Romans” to refer to the group of people living under Roman rule from the beginning of the Roman republic through the time described above, in which the leadership of the Roman Empire had been split, but both parts of the empire were still act...

In Charles Dickens's "The Signal-Man" an unnamed narrator meets a railway signalman who tells of a story in which he, the signalman, frequently encounters a strange specter who serves as an omen of bad fate; each time the signalman encounters the specter, a tragic event occurs. Having seen the specter several times in the recent days without noticing any tragic event, the signalman finds himself in a sense of great foreboding. He wonders what, if anything, will count as the tragic event that the specter foreshadowed. The narrator, being a logical sort of fellow, holds great skepticism that there is any sort of supernatural correlation between this supposed specter and the tragic events. Yet, when he returns to meet the signalman, he sees a figure on the rails, just as the signalman saw the specter. As it turns out, this figure that the narrator sees is, in fact, the signalman, who is struck by the oncoming train and killed. The shock of this story comes from the parallel ...

Industrialization affected the lives of people of color in different ways. African Americans who lived in the South were generally unable to take advantage of the jobs that opened up in most of the new industries, particularly textile mills. Those that did were generally employed as custodians or other lower-paying jobs (though millwork itself did not pay well). This eventually led African Americans to begin looking North for jobs in industries there. Many found similar discrimination there, and some labor unions explicitly barred them from membership. Other nonwhites, especially Mexican Americans, fared similarly, working on the margins of the new industrial economy. In fact, the prospect of competing with people of color, especially nonwhite immigrants, was a major impetus for the nativist sentiment that began to reemerge in the late nineteenth century. As for factory workers themselves, industrialization tended to lead to increased regimentation in their work lives. As more and more...

Sadge Merrall is a clerk in the Supply Depot. He's made the brave decision—or foolish, depending on how you look at it—to venture forth into the Unknown Regions, the vast area of darkness surrounding the City of Ember. Yet even in such darkness, Sadge must have seen something—something really scary and unnerving—because when he comes back, he's in a terrible state, crying, shouting, and howling. Clearly, something pretty disturbing must have happened to him. All those tales about strange monsters lurking in the Unknown Regions appear to have credence all of a sudden. For the time being, however, exactly what happened to Sadge remains a total mystery. But there's no doubt that whatever it was has caused the poor man to take leave of his senses and go out of his mind completely.

(6x^2+1)/[x^2(x-1)^2]=A/x+B/x^2+C/(x-1)+D/(x-1)^2 Multiply by the LCD x^2(x-1)^2. 6x^2+1=Ax(x-1)^2+B(x-1)^2+Cx^2(x-1)+Dx^2 6x^2+1=Ax(x^2-2x+1)+B(x^2-2x+1)+Cx^3-Cx^2+Dx^2 6x^2+1=Ax^3-2Ax^2+Ax+Bx^2-2Bx+B+Cx^3-Cx^2+Dx^2 6x^2+1=(A+C)x^3+(-2A+B-C+D)x^2+(A-2B)x+B Equate coefficients of like terms. Then solve for A, B, C, and D. B=1 0=A-2B 0=A-2(1) A=2 0=A+C 0=2+C C=-2 6=-2A+B-C+D 6=-2(2)+1-(-2)+D 6=-4+1+2+D D=7 A=2, B=1, C=-2, D=7 (6x^2+1)/[x^2(x-1)^2]=2/x+1/x^2+[-2/(x-1)]+7/(x-1)^2

In The Pioneers, Natty, the huntsman, ostensibly represents the old ways of early frontier America, which are, in this story, presented as being in conflict with the new regime being established by the townspeople, who now have a judge and a set of enforceable rules: Natty is no longer able to simply hunt what he likes when he likes, and the townspeople are suspicious of him and his behavior, thinking that he surely must be concealing something from them. However, while he is set in opposition to the expansion of the new wave of civilization which the Judge represents, we can certainly argue that Natty and his kind have contributed to the expansion of civilization, of their own sort, across the US. "Civilization" simply means "the society, culture, and way of life of a particular area." It is often used to refer more specifically to an advanced stage of social development, but in terms of establishing the early cultures and societies of postrevolutionary America, Na...

Determine $y''$ of $\sqrt{x} + \sqrt{y} = 1$ by using implicit differentiation. Solving for 1st Derivative $ \begin{equation} \begin{aligned} \frac{d}{dx} (\sqrt{x}) + \frac{d}{dx} (\sqrt{y}) =& \frac{d}{dx} (1) \\ \\ \frac{d}{dx} (x)^{\frac{1}{2}} + \frac{d}{dx} (y)^{\frac{1}{2}} =& \frac{d}{dx} (1) \\ \\ \frac{1}{2} (x)^{\frac{-1}{2}} + \frac{1}{2} (y)^{\frac{-1}{2}} \frac{d}{dx} =& 0 \\ \\ \frac{1}{2 (y)^{\frac{1}{2}}} \frac{dy}{dx} =& \frac{-1}{2(x)^{\frac{1}{2}}} \\ \\ \frac{dy}{dx} =& - \frac{\cancel{2} (y)^{\frac{1}{2}}}{\cancel{2}(x)^{\frac{1}{2}}} \\ \\ \frac{dy}{dx} =& - \frac{(y)^{\frac{1}{2}}}{(x)^{\frac{1}{2}}} \end{aligned} \end{equation} $ Solving for 2nd Derivative $ \begin{equation} \begin{aligned} \frac{d^2 y}{dx^2} =& - \frac{\displaystyle (x)^{\frac{1}{2}} \frac{d}{dx}(y)^{\frac{1}{2}} - (y)^{\frac{1}{2}} \frac{d}{dx} (x)^{\frac{1}{2}} }{[(x)^{\frac{1}{2}}]^2} \\ \\ \\ \\ \frac{d^2 y}{dx^2} =& - \frac{\displaystyle (x)^{\frac{...

The "suns of home" can possibly be taken as a homophone for "sons." The soldier who is narrating is fighting in the war (1914-18) alongside other Englishmen, all sons of home, all radiating the hope of going home, of returning victorious at the end of the conflict. To the soldier, it is a blessing, an honor to be in their company—hence the notion that he is "blest by suns of home." On the other hand, if we look at the definitions of "sun" in the Oxford dictionary, there are two in particular that become relevant and might be a better fit as to connotations. The first is to consider the sun as "a person or thing regarded as a source of glory or inspiration or understanding." The second says the word is "used with reference to someone's success and prosperity." In both cases, we can either apply the notion of the "sons of home" or keep the flow with the previously established theme of England's grandeur. In the...

If both parents of the child have type B blood, then the only two possible blood types that this child could have are either type B or type O. One must consider the genotype (genetic makeup) of each parent when solving this question. The genotype for a person with type B blood is either homozygous B, where both of the parents contributed a gene for B to the offspring. This can be written as BB. Another possible genotype for a person with type B blood is heterozygous B, with one B and one O gene inherited from his or her parents. This can be written as BO. Since the genes for B are dominant to O, a person with a BO gene pair combination will exhibit type B blood in their phenotype. If we do a genetics cross using a Punnett square, consider that, if each parent were heterozygous BO, their offspring would have the following probabilities for genotype: 25% will be homozygous BB, which is a person with type B blood, 50% will be heterozygous BO, which is a person with type B blood, and 25% w...

Lord Capulet first appears in the play as a gracious and merry host at his own family masque. He encourages the men and women to take to the floor and even orders Tybalt to overlook the fact that Romeo, a Montague, is in attendance. When Tybalt still desires to challenge Romeo to a fight we get the first look at Capulet's temper, which seems to be sparked whenever his will is not obeyed. He shouts at Tybalt "Am I the master here, or you?" This foreshadows his violent reaction when he discovers that Juliet is refusing to marry Paris according to his wishes. This is embarrassing to him, since Paris is the kinsman of the Prince. But she remains obstinate, and he berates her, calling her a "disobedient wretch" and threatening to disown her is she refused to marry. By the end of the play, he, like Montague, is grief-stricken and remorseful as he discovers what has happened to his daughter. It is he who first reaches out to his counterpart in order to seek peace. The ...

The hot desert sun blares down upon the inhabitants. Some will fight for the little water and some will wait and seize the opportunities when it arrives. Which one would work best for you? Will you be one to fight for your needs or wait for your needs to be met? Would you work to find a resolution so everyone gets a little of what they need? If a resolution is not reached those who argue are often watched by others who will take advantage of their defeat to benefit themselves. These are the important messages that can be found in The Lion and The Boar which is one of Aesop's Fables. Aesop’s Fables are a collection of words written by Aesop in ancient Greece. These fables were passed on orally to teach morals to those who hear them. In the case of The Lion and The Boar, Aesop was teaching listeners that in conflicts there are those who argue, those who compromise, those who take advantage of the situation, and those who wait and go without. This holds true today as well as i...