Onboard Note

Usually, monopolies are associated with various drawbacks, including low output and exorbitant prices. On the same note, other schools of thought perceive monopolies as the deterrents of social democracy and free market libertarianism. A society devoid of any structure or governing rules shifts to a monopolistic formation, where all the powers are transferred to one or a few nobles. Looking at the issue from a different viewpoint, however, the benefits of monopolies may significantly outweigh their demerits. Some of the notable justifications of monopolies include the fact that they are in a better position to sponsor development and research and also reap the benefits of lower average costs. To explain the aforementioned arguments further, the supernormal or excessive profits generated by the monopolies can be used to fund projects that require enormous investments. Moreover, increased output, which is one of the key features of monopolies, will translate to reduced production costs. ...

The ideal gas law is an idealized relationship between pressure, temperature, number of moles, and volume of a given gas. It is derived from the Kinetic Theory of Gases and relies on the assumption that: 1. Gases are comprised of a large number of atoms or molecules moving according to the laws of motions, 2. The atoms and/or molecules are negligibly tiny, and their size is almost nothing compared to the distance between neighboring particles, 3. The atoms and/or molecules are independent - i.e. they do not interact with each other, other than during elastic collisions, which happen instantaneously. According to the ideal gas law, PV = nRT, where R is the ideal gas constant, 0.0821 Latm/molK. At STP (standard temperature and pressure), T = 273.15K and P = 1 atm. We want to know the volume occupied by 14 grams of O2 at STP. The molecular weight is 32.0 g/mol (15.9994 * 2). Then, 14 grams is equivalent to  0.4375 moles. The volume, derived from the ideal gas law, can be calculated as fol...

The South Carolina Exposition and Protest, and the theory of nullification that it was based on, was a significant event leading to the American Civil War. Nullification was the idea that a state within the United States had the right to “nullify” or ignore a law passed by the federal government that it deemed to be unconstitutional. This theory originated in 1798 and 1799 in reaction to the Alien and Sedition Acts and was contained in the “Kentucky and Virginia Resolutions” written by Thomas Jefferson and James Madison. The law that South Carolina’s political and business leaders were so upset about was the Tariff of 1828, or what they called the Tariff of Abominations. In their view, and the view of other southern states, this tariff significantly favored New England’s manufacturing over southern agriculture and commerce (namely cotton production and exports). The author of the South Carolina Exposition, John C. Calhoun, was at the time Vice President of the United States under John ...

The thirteenth president of the United States was Millard Fillmore.  He was president from 1850-1853.  He was a member of the Whig Party.  He took office in 1850 after the death of Zachary Taylor.  During Fillmore's presidency, America opened up trade with Japan under the leadership of Commodore Matthew Perry.  Fillmore was also the president who signed the Compromise of 1850, which was an attempt by Congress to prevent civil war.  The U.S. government did not have a clear plan of what would become of the lands ceded to it by the Mexican government after the Mexican War.  Some wanted the dividing line between free and slave drawn by the Compromise of 1820 extended to the Pacific.  This was put to the test when California voted for immediate statehood in 1850 thanks to the population boom from the gold rush.  Fillmore signed the Compromise of 1850, which brought California into the Union, ended the slave trade in Washington D.C., and strengthened the Fugitive Slave Law.  Fillmore ran...

The Dust Bowl was an event that only really affected the United States. It occurred in the 1930s when a drought struck the southern Great Plains, making it almost completely untenable as farmland. It was not really an international incident that would have led countries to help each other, and the United States has not typically sought foreign aid in response to its natural disasters. But because this event occurred in the midst of the Great Depression, I will discuss the reasons countries did not help each other during that broader event. For one thing, large expenditures on foreign aid would have been very unpopular during this time. Americans and Europeans were generally geared toward economic isolationism in any case, and given the wretched economic conditions in many countries, it would have been politically difficult to justify large expenditures on foreign aid. Another reason is that many people, especially politicians, thought protectionism was the best response to the economic...

Bigger Thomas ekes out an existence as a petty criminal on the South Side of Chicago during the 1930s. It's far from being an easy life. Arrest, serious injury, and even death are just some of the many occupational hazards involved. A job as a chauffeur with a wealthy white family seems to offer Bigger a way out. Soon, he's befriended by the daughter of the family, a rebellious, high-spirited young lady by the name of Mary. One night, afraid of being caught in a compromising position with Mary, Bigger tries to keep her quiet by placing a pillow over her mouth. Unfortunately, he ends up smothering her to death. Bigger is subsequently arrested, not just for killing Mary, but for the rape and murder of his girlfriend, Bessie. During his first few days in police custody, he refuses to speak and leaves his food completely untouched. Unsurprisingly, a lack of food makes Bigger weak, and he collapses when he's brought to the inquest. When he eventually comes round, he asks for a d...

There has been a great deal of study as to why the northwestern regions of Europe have a warmer climate than regions elsewhere at similar latitudes. It has been thought for many years that the Atlantic Gulf Stream led to warmer temperatures in northwestern Europe because the warm waters from near the Equator, flowing toward northwest Europe, led to milder air and milder temperatures there. However, recent research indicates that the Gulf Stream actually draws colder air from the polar regions into regions just west of this warmer air. As a result, areas along the East Coast of the United States and Canada experience colder temperatures than places at similar latitudes in northwestern Europe. Something similar happens in the Pacific Ocean, leading to warmer temperatures in the western coastal regions of the United States and Canada and colder temperatures at similar latitudes along the east coast of Asia. https://www.livescience.com/13573-east-coast-colder-europe-west-coast.html

I would go so far as to say "matter" can be a solid, liquid, or gas depending on the temperature. Matter is anything that has mass and takes up space (thus, it cannot be energy or light or things of that nature). The temperature often refers to the average kinetic energy of the molecules of an object. Kinetic energy is the energy of things in motion. There's a theory called Kinetic Theory that states that all molecules of matter are always in motion. (This relates back to temperature). Solid atoms vibrate in place, liquids flow past one another, and gases are free to move and expand to fill the space. They're all moving. Now, let's relate kinetic energy to temperature. If you think of temperature as thermal energy, the more thermal energy matter has, the more kinetic energy it has, and the more it moves. So it makes sense that solids have less kinetic energy (because they only vibrate in place) and gases have the most kinetic energy (because they move the most). ...

The Tempest, often believed to be Shakespeare's last play, is considered a later comedy. The comedy designation distinguishes it from a tragedy, for reasons including that it does not end with many deaths and the hero has no tragic flaw. It resembles his other comedies in having lighter moments interjected by some minor characters but is weightier than A Midsummers Night's Dream. The Tempest has a lot in common with The Merchant of Venice. Although Prospero is very much alive and Portia's father is dead, both fathers go to great lengths to steer their daughter's marriage. Both daughters follow their father's plan, although Miranda doesn't know it, and both end up loving the man their father chose or could have chosen. The daughters are different. Miranda is not one of Shakespeare's strong females, however; she is more passive like Bianca in Taming of the Shrew. Portia is very strong, and usually grouped with Rosalind and Viola. Another similarity is in th...

The main message of this story could differ from reader to reader, and the story contains multiple themes. Themes can lead readers toward choosing a particular message, but a story's theme and message are not guaranteed to be the same thing. Thematically, there are themes that focus on nature and technology. I could even be convinced that the story has a theme of family as well since it shows a house that once contained a family that spent time together at the table and/or out in the yard together. One message that I like steering students toward is the general belief that technology is inherently beneficial and has the ability to solve all problems. This concept has been referred to as the "Myth of Technology as Protector and Savior." This Bradbury story shows that thinking is flawed. As great as the house's technology was, it couldn't save them from the disaster. Additionally, it was man's technological advances that created the apocalypse in the first place...

The declaration of war by President Roosevelt in 1941 had an impact on our economy. The United States was still dealing with the effects of the Great Depression in 1941, and the support for continuing and/or expanding some New Deal programs had been fading for a few years. Entering World War II helped to bring our economy out of the Great Depression. Many things changed when we declared war in 1941. We needed many soldiers to fight in the war. Millions of Americans served in the military during World War II. We also needed many workers to produce the supplies and equipment that were needed to fight the war. Planes, ships, guns, and uniforms were just a few things that needed to be produced in our factories. The government increased its spending to conduct the war. The declaration of war positively impacted our economy. Unemployment dropped, and the economy grew because of the increased spending. Our gross national product doubled in six years after the declaration of war was issued. Ou...

Bayou Farewell by Mike Tidwell details some of the changes affecting the bayous and Cajun culture in the twenty-first century from a participant observer perspective. Tidwell spent a year living and working with Cajun families on the southwestern coast of Louisiana and treats social and cultural issues by embedding them in an anecdotal framework so that the reader can see how issues affect individual people and families. The book was written before Hurricane Katrina and subsequent detailed scientific studies of the bayou ecosystem, but those studies do tend to observe and emphasize rather than contradict Tidwell's points. The Cajuns were descended from a group of French people who settled the Maritime provinces of Canada ("Cajun" is a contraction of "Canadian") in the seventeenth century and were displaced by the British; many resettled in Louisiana, which was, at the time, a French possession. They developed a distinctive culture and language and cuisine, a uni...

Literally, when the speaker tells the sea to "Break, break, break / At the foot of thy crags," he is ordering the sea to go ahead and crash into the rocks at the base of the land, perhaps the land on which he stands. The "thy" to which he speaks is the sea, and this is a technique called apostrophe, when the speaker addresses something that cannot respond as though it could. However, this "break[ing]"—including the repetition of the word "break" three times—is juxtaposed with the next, intangible, and much softer idea: "the tender grace of a day that is dead / [Which] Will never come back to me." The speaker is mourning someone who has, apparently, died, someone who imparted a "tender grace" to his days. Though, now, he feels that his life will lack this tenderness and, instead, be characterized by "break[s]" which are painful and violent. Thus, when the speaker references the "foot of thy crags," he isn...

Given the function h(x)=sin^2(x)+cos(x) in the interval 0 We have to find the critical numbers of the function. First take the derivative of the function and equate it to zero. We get, h'(x)=2sin(x)cos(x)-sin(x)=0 sin(x)(2cos(x)-1)=0 sin(x)=0 or 2cos(x)-1=0 sin(x)=0 implies x= npi i.e we get x= pi in the interval 0 Now, 2cos(x)-1=0 implies cos(x)=1/2 So x= pi/3 and 5pi/3 (in the interval 0 Hence the critical points are x=pi/3, pi and (5pi)/3

Because this question specifies about items taken from the chest before fleeing the inn, readers should look to chapter four. The captain has died, and nobody is willing to go back to the inn; however, Jim's mom is adamant that she get payment for hosting the captain for so long. Her plan is to hopefully find that money in the captain's sea-chest. Jim finds the key to the chest hanging around the dead captain's neck. Jim and his mother then unlock and open the chest. They find clothes, a compass, some trinkets, and coins. Just as Jim and his mother are forced to flee from the inn, Jim grabs a bunch of papers from the chest. He and his mother escape with the papers and the coins. Readers will not know what those papers are until chapter six, when we discover that the papers include a map of an island with three crosses of red ink. By one of the crosses, "bulk of treasure here" is written. After the death of Billy Bones, Jim Hawkins and his mother realize they'r...

The narrative structure of Chapter 24, "Calling Home," involves four soldiers in Vietnam--Eddie, Doc, Oscar, and finally Paul Berlin--going into a soundproof booth one by one to speak by radio hookup to people back in the United States. The structure of the chapter highlights the idea that the characters are isolated from their friends and family at home and somewhat from each other. When each person goes into the booth, he is cut off from the others, and the others can only see--but not hear--the person who is speaking on the phone by looking through a plastic window. As Eddie speaks on the phone to people at home, Paul Berlin watches him: "Paul Berlin watched through a plastic window. For a time nothing happened. Then a red light blinked on and the PFC handed Eddie one of the headsets. Eddie began rocking in his chair. He held the microphone with one hand, squeezing it, leaning slightly forward." The way in which the other characters can see, but not hear, their f...

By declaring independence from Britain, the colonists gained freedoms that they did not have while under British control. By writing the Declaration of Independence, the colonists made the argument that each person possess the unalienable rights of "life, liberty, and the pursuit of happiness". This patriotic way of thinking helped colonists win the war against Britain once the revolution began. The colonists also received economic freedom by declaring their independence. Colonists were free from taxation that they believed the British unfairly placed on them. They also were free to trade with other countries besides Britain. This allowed for more independence to trade with who they wanted, and allowed them better prices. The declaring of independence also lead to a new philosophy on government rule which influenced the Constitution and many of the decisions the founding fathers made. They viewed that the people must have a say in government, and the government must p...

Early in the play, beginning in scene two of the first act, blood is associated with military valor and honor. The sergeant approaching Duncan is described simply as "that bloody man." When the sergeant describes Macbeth's valor in the battle to preserve Duncan's throne, he evokes the image of a sword steaming with blood in the midst of the fighting. Once Macbeth murders the king, however, blood begins to connote his guilt. Even as he is making his way into the king's chamber, he sees a vision of a bloody dagger and interprets it as having been conjured by the prospect of killing the monarch. After the murder is carried out, Lady Macbeth tells him to wash the "filthy witness" (the king's blood) from his hands. Once Macbeth kills Banquo, he sees another vision. This time Macbeth sees his murdered friend, and Macbeth beseeches Banquo not to shake his "gory [bloody] locks" at him. This he interprets (though his wife disagrees) as guilt, and on...

Equation of a tangent line to the graph of function f  at point (x_0,y_0) is given by y=y_0+f'(x_0)(x-x_0). The first step to finding equation of tangent line is to calculate the derivative of the given function. y'=1/2cdot(-1/sqrt(1-x^2))=-1/(2sqrt(1-x^2)) Now we calculate the value of the derivative at the given point. y'(-sqrt2/2)=-1/(2sqrt(1-(-sqrt2/2)^2))=-1/(2sqrt(1-1/2))=-1/(2sqrt2/2)=-1/sqrt2=-sqrt2/2 We now have everything needed to write the equation of the tangent line. y=(3pi)/8-sqrt2/2(x+sqrt2/2) y=-sqrt2/2x+(3pi-4)/8 Graph of the function along with the tangent line can be seen in the image below.                                                                      https://en.wikipedia.org/wiki/Tangent

You need to decompose the fraction in simple irreducible fractions, such that: (8x-12)/(x^2(x^2+2)^2) = A/x + B/(x^2) + (Cx+D)/(x^2+2) + (Ex+F)/((x^2+2)^2) You need to bring to the same denominator all fractions, such that: 8x - 12 = Ax(x^2+2)^2 + B(x^2+2)^2 + (Cx+D)*x^2*(x^2+2) + (Ex+F)*x^2 8x - 12 = Ax(x^4 + 4x^2 + 4) + Bx^4 + 4Bx^2 + 4B + (Cx^3 + Dx^2)*(x^2+2) + Ex^3 + Fx^2 8x - 12 = Ax^5 + 4Ax^3 + 4Ax + Bx^4 + 4Bx^2 + 4B + Cx^5 + 2Cx^3 + Dx^4 + 2Dx^2 + Ex^3 + Fx^2 You need to group the terms having the same power of x: 8x - 12 = x^5(A + C) + x^4(B+D) + x^3(4A + 2C + E) + x^2(4B + 2D + F) + x(4A) + + 4B Comparing the expressions both sides yields: A + C = 0 => A =-C B+D = 0 => B = - D 4A + 2C + E = 0 => 2A + E = 0 => E = -2A 4B + 2D + F = 0 => F = -2D 4A = 8 => A = 2 => C = -2 => E = -4 4B=-12 => B = -3 => D = 3 => F = -6 Hence, decomposing the fraction, yields (8x-12)/(x^2(x^2+2)^2) = 2/x- 3/(x^2) + (-2x+3)/(x^2+2) + (-4x-6)/((x^2+2)^2).

Early in Chapter 2 of In Cold Blood, titled "Persons Unknown," Capote reveals his attitude towards Perry and Dick's relationship with these three lines of dialogue: "Perry, baby,” Dick said, “you don't want that burger. I'll take it.” Perry shoved the plate across the table. “Christ! Can't you let me concentrate?” “You don't have to read it fifty times.” (85) This brief exchange reveals telling information about each man's personality and temperament while demonstrating Capote's willingness to contrast Dick's pushy self-centeredness with Perry's sensitivity. Dick's assumption that he can help himself to Perry's food as well as his mockery of Perry's need to focus positions Dick as an antagonistic person. At the same time, Perry, with his mild cursing and futile protests, is presented as a victim of Dick's bullying. As the events and the plot line continue to unfold, the relationship between the two killers becomes an im...

Women in Othello are not at all insignificant––after all, the downfall of the titular character in the play is due to his devotion to a woman, Desdemona, even though it is orchestrated by Iago; and Iago himself is motivated in part by his wife, Emilia.  Both Desdemona and Emilia are strong characters in their own ways. While Desdemona is ultimately smothered by her husband ("put out the light, and then put out the light") her behavior when alive is that of an engaged and active young woman, interested in her community and devoted to her husband. Meanwhile Emilia, wife to a man of a lower position, attends to Desdemona while being an obedient wife to the potentially treacherous Iago. Emilia provides a foil to Desdemona in that she is a woman from an opposing side of the social spectrum: where Desdemona is a wife to a man who remains true to the end, Emilia attaches herself to Iago, who reveals himself to be a disingenuous person at an early stage. 

Hope Was Here is recommended for readers in the seventh grade and above. Readers who have advanced skills but are in lower grades may also enjoy the book. The protagonist in the story is Hope, a sixteen-year-old girl who lives with her aunt. Together, they work at diners. Hope had been a bus girl, but she was promoted to the position of waitress. Being that Hope faces the challenges of being sixteen, Hope Was Here could be recommended for teenagers. Teenage girls would likely enjoy the book because of the female protagonist. Teenagers who have part-time jobs in particular may relate to Hope. When Hope moves to her new town and job in Wisconsin, she becomes involved with the local mayoral race. This book would be recommended for readers who have an interest in local politics, or politics in general. In summary, this book is recommended for: Readers in the 7th grade or above, or who read at an advanced level Teenagers who have part-time jobs Teenage girls Readers interested in local poli...

Vision is an amazing sense and it takes a lot of different steps to allow us to see what we see. First, let’s talk about why the image in the retina is inverted in the first place. The eyes work as lenses and light must pass through a very tiny hole (the pupil) and make it to the retina. By inverting the picture the eyes allow us to see images that are way bigger than the size of the pupil. Thus the part we consider as “up” crosses to the bottom and the part we consider as “down” crosses to the top (use the picture bellow as guide). Our brains, though, are amazing organs and know the image has been inverted; they flip it back so that we can experience the world the right way. At the same time the brain is processing this upside-down image, it is also putting together information from both eyes so that we can have one complete picture instead of two parts. Vision involves many different parts of the brain, including the optic nerve, the corpus callosum, and the occipital lobe.  

While it is important to remember that many American colonists remained loyal to Great Britain during this time, Britain's post-French and Indian War policy angered many colonists and provided the impetus for the organized movement that would eventually lead to the Declaration of Independence, the Revolutionary War, and an independent United States. After the French and Indian War, which ended with the Treaty of Paris in 1763, Great Britain was looking to conserve its money and military resources. With the French no longer an obvious threat, the British reduced the resources they were committing in the American colonies and passed new taxes and duties as a response to their indebtedness. As a consequence of this de-escalation, the British authorities did not effectively manage the controversy surrounding the Stamp Act of 1765. Historians agree that Britain only made things more difficult for itself in the long run by taking so long to come down harshly on the colonists. The colonis...

First, apply Newton’s second law to the orbiting proton to relate its speed to its radius. After, use the definition of its period (T) to eliminate r and calculate a value for T. Then find the relationship between it's period and velocity to determine v. Lastly, once the speed is known, use the definition of kinetic energy.

When the father leaves in "The Right To the Streets of Memphis," his departure results in great suffering for his family. First, the children have to endure persistent hunger. The narrator tells us that until his father left, he had never associated the presence of his father with the availability of food in the house. Second, the narrator's mother becomes depressed. She manages to find work and to bring in some income. But she often cries when she is home. During these emotional moments, she delivers long lectures to her children. For their part, the children only feel a "vague dread" upon hearing that they must learn to fend for themselves. Third, the narrator discovers that he must fight to survive on the streets of Memphis. When the narrator's mother orders him to purchase some groceries for the family, the narrator is set upon by neighborhood bullies. They steal his money, and he has to return home without his groceries. Eventually, the narrator's m...

Both the title essay and the collection of essays refer to the deep, complex connections between language and identity. David Sedaris learned a second language as an adult as part of his developing relationship with Hugh, who was the one who wanted to move to France. Moving overseas with him was an important part of committing not only to another man but to his identity as an adult gay man. Ironically, this aspect of adulthood was accompanied by the infantilizing experience of attending language classes. And as part of the process of building a home with Hugh and feeling at home in Paris, he spent large amounts of time with fellow strangers or "refugees" in the class. The conclusion that Sedaris comes to is both about learning language and acquiring self-knowledge more generally. Understanding who you are rarely comes as an epiphany—it is incremental, and the realization sneaks up on you. Understanding doesn’t mean that you can suddenly speak the language. Far from it. It’s a...

y=ln(sqrt(x^2-4)) First, use the formula: (lnu)'= 1/u*u' Applying that formula, the derivative of the function will be: y' =1/sqrt(x^2-4) * (sqrt(x^2-4))' To take the derivative of the inner function, express the radical in exponent form. y'=1/sqrt(x^2-4)*((x^2-4)^(1/2))' Then, use the formula: (u^n)'=n*u^(n-1) * u' So, y' will become: y'=1/sqrt(x^2-4) * 1/2(x^2-4)^(-1/2)*(x^2-4)' To take the derivative of the innermost function, use the formulas: (x^n)'=n*x^(n-1) (c)' = 0 Applying these two formulas, y' will become: y'=1/sqrt(x^2-4) *1/2(x^2-4)^(-1/2)*(2x-0) Simplifying it will result to: y'=1/sqrt(x^2-4)*1/2(x^2-4)^(-1/2)*2x y'=1/sqrt(x^2-4)*1/2*1/(x^2-4)^(1/2)*2x y'=1/sqrt(x^2-4)*1/2*1/sqrt(x^2-4)*2x y'=x/(x^2-4)   Therefore, the derivative of the given function is y'=x/(x^2-4) . 

On the bus, Julian's mother is engaged in a conversation with another woman, and she tells this woman that Julian wants to be a writer but that he is selling typewriters for now, until he's able to get his writing off the ground. Julian finds their conversation inane, and he resents being examined by this other woman, who said earlier that the black people on the bus the other day were "'thick as fleas—up front and all through.'" He finds her repulsive, and so he gives her a dirty look when she looks at him. In order to escape the conversation of his mother and the woman, he . . . with[drew] into the inner compartment of his mind where he spent most of his time. This was the kind of mental bubble in which he established himself when he could not bear to be a part of what was going on around him. In the inner sanctum of his brain, Julian feels safe from whatever is going on outside himself, though he can still see out and judge those around him. This is where h...

Napoleon and Snowball have a radically different understanding of what the pigs' control of the farm should mean. Snowball is more idealistic; he genuinely believes in the political principle of "Animalism" (read: Communism). He's more intelligent than Napoleon; he's also a much more sophisticated thinker and a much better orator, skillfully using his rhetorical power to convince the other animals of the benefits of Animalism. Snowball wants to defend Manor Farm by spreading revolution to other farms. The more widely the Animalist rebellion spreads, the more difficult it will be for the human enemy to fight back. He is somewhat idealistic but does at least appear to have a genuine belief in his political creed. This is more than can be said for Napoleon. He sees Animalism as a means to achieve absolute power. He is profoundly jealous of Snowball and sees him as a threat to his plans for dictatorship. He's deeply resentful of the fact that Snowball is much more...

All of the evidence would seem to suggest that Hamlet is indeed pretending to be mad. But, as Polonius shrewdly acknowledges, there is method to his "madness." Hamlet conveys the impression of insanity the better to hide his true intentions regarding Claudius. If people think he's mad, then they'll be more likely to underestimate him. Hamlet's constant vacillation in killing Claudius merely adds to the sense that this is not a particularly formidable character. At the same time, we must remember that Hamlet is a complex soul. Although he may not be mad, there seems little doubt that he's psychologically damaged to some extent. After all, his uncle murdered his beloved father and is now married to his mother. Hamlet's whole world has been turned upside-down by Claudius's wicked actions. There's often a fine line between the trauma that Hamlet has suffered and the madness which he so successfully feigns. Indeed, one could say that it's only becau...

Gulliver discovers he is going to be accused of high treason in Lilliput. He also learns that, due to the "great leniency" of the ruler, he will only have to submit to having his eyes put out by having arrows shot into them while he is tied to the ground. Not wanting to lose his eyes, he decides to leave early on his planned trip to Blefuscu. He takes a Lilliputian ship—which is easy since the Lilliputians are so tiny—by lifting up its anchor, and puts his clothes into it. Then, swimming and wading and dragging the ship, he crosses the channel. He arrives at Blefuscu and, through good fortune, finds a ship big enough to carry him away from all the tiny people of the Lilliputian lands. The emperor is glad to help him leave and sets 500 people to work making him sails. On September 24, 1701, as Gulliver reports, he sails away. Gulliver actually escapes from Lilliput fairly easily: after falling out of favor with the Emperor of Lilliput, Gulliver walks across the channel separat...

The Republican sniper stationed on a rooftop near the O’Connell Bridge witnesses an old woman wearing a tattered shawl approach and speak to a Free Stater soldier manning a turret attached to a vehicle. He then sees the old woman point towards his position on the rooftop and realizes that she is an informant. The old woman has just given away his position to the Free Stater soldier and he is now in danger of being shot. The Republican sniper reacts by shooting and killing both the man in the turret and old woman running across the street. Despite successfully killing the enemy informant and soldier in the turret, the Republican sniper attracts the attention of an enemy sniper stationed on the opposite rooftop. Immediately after shooting the soldier and old woman, the Republican sniper is shot in the forearm and is forced to improvise in order to survive and kill the Free Stater sniper. The sniper kills the old woman because she is an informant for the Free Staters.  In addition to her ...

Tom's newfound philosophy is one based on racism. According to the text, Tom has been reading a book named "The Rise of the Colored Empires" by someone named Goddard. Tom's book, of course, is fictional, but it alludes to a book that actually discusses everything Tom's book does. That book would be The Rising Tide of Color by Lothrop Stoddard, a man who advocated the principles of white supremacy through the use of eugenics. Eugenics is the science of heredity and breeding: white supremacists like Stoddard believed that if white birth rates did not increase, the "colored" races would inundate and destroy western civilization completely. Like the fictional Goddard, Lothrop Stoddard advocated what Tom refers to as scientific racism (or the use of eugenics to ensure the dominance of the white races). This is why, when Tom tries to rationalize his racist beliefs, he keeps repeating that it's "all scientific stuff; it’s been proved." Basically, ...

The Reservation of Separate Amenities Act, passed in 1952, gave formal legal protection to the racial segregation of public space that was already widespread throughout South Africa at the time. The dominant Afrikaaner minority of South Africa (decedents of Dutch settlers) were committed to maintaining a white supremacist system that denied the indigenous people of South Africa access to most of their historic land and full rights through the apartheid system. Apartheid (from "apart" + "hood") built on the historic colonial conditions that developed under British colonial rule and intensified them as South Africa shifted from British to Afrikaaner rule. The Reservation of Separate Amenities Act specifically applied to public vehicles, services, and spaces. Following a court ruling arguing that segregated facilities needed to be equal (similar to the US doctrine of "separate but equal" racial segregation) the government passed the Reservation of Separate Am...

The short story “The Story of an Hour” opens with the introduction of Mrs Mallard as a woman “afflicted with a heart trouble” and it comes full circle when she “dies of heart disease” at the end of the story. I believe this heart trouble is symbolic of both the physical ailment and the emotional condition which, in Mrs Mallard’s case, is reflective of the inherent oppressiveness of marriage. Despite her recollection of Mr Mallard as “the face that had never looked save with love upon her”, she felt herself being barred from freedom in the institution of marriage and that is why his supposed death stirred a great deal of emotion within her and his unexpected reappearance ironically led to her own death. Her death was attributed to the “joy that kills” by doctors, however, this was contradictory to the actual cause. Whilst locked inside her room, Mrs Mallard’s grief over the loss of her husband was soon followed by the epiphany that she had been bestowed with the freedom she had so earne...

It sounds to me like the question is asking for you to come up with questions of your own about Abigail Williams and then provide answers to those questions.   One question that you could ask is "Who is Abigail Williams related to?"  She is the niece of Reverend Parris.   "Which commandment could John Proctor not remember?  Why is this important to the overall plot of the play?"  John could not remember the commandment to not commit adultery.  It is important because he committed adultery with Abigail Williams.   "What possible motive could Abigail have for accusing Elizabeth Proctor of witchcraft?"  If Elizabeth is killed for being a witch, then John Proctor is a single man again, and Abigail is still in love with him.  "Who did Abigail Williams work for before being fired?  Hint: Mary Warren now works for this family."  Abigail Williams worked for John and Elizabeth Proctor.  "Did Abigail Williams stay to see John hanged?"  No, she es...

r=2csc theta+3 To solve, express the polar equation in parametric form. To convert it to parametric equation, apply the formula x = rcos theta y=r sin theta Plugging in  r=2csctheta +3 , the formula becomes: x = (2csctheta +3)cos theta x= 2cot theta + 3cos theta y =(2csc theta+3)sin theta  y=2+3sintheta So the equivalent parametric equation of r=2csctheta +3 is: x=2cot theta +3cos theta y=2+3sin theta Then, take the derivative of x and y with respect to theta. dx/(d theta ) = 2*(-csc^2 theta) + 3*(-sin theta) dx/(d theta)=-2csc^2 theta -3sin theta dy/(d theta)=3costheta Take note that the slope of the tangent is equal to dy/dx. m= (dy)/(dx) To get the dy/dx of a parametric equation, apply the formula: dy/dx = (dy/(d theta))/(dx/(d theta)) When the tangent line is horizontal, the slope of the tangent is zero. 0 = (dy/(d theta)) / (dx/(d theta)) This implies that the polar curve will have a horizontal tangent when numerator is zero. So set the derivative of y equal to zero. dy/(d theta) ...

Rip is popular with the children of the village because he “helps at their sports, makes their playthings, teaches them to fly kites and shoot marbles, and tells them long stories of ghosts, witches, and Indians.” The children like to follow him around during his strolls in the village. They “hang on his skirts” and play all kinds of jokes at him. In other words, the children consider Rip a fun playmate and companion. This could be because Rip is a generally happy person with a sunny disposition, often willing to assist others with their tasks. Even the older people in the village like him. The story states that Rip’s only weakness is his inability to engage in any form of “profitable labor,” especially those that can improve the lot of his family. As such, his children are “ragged and wild” and his wife, a querulous woman, constantly nags him about his “idleness and carelessness.” Her nagging becomes so bad over time that Rip really does not know what to do with himself. Thus, the twe...

The doll's house is used in the story to symbolize the kind of lifestyle that the poor will never be able to enjoy, and of which they will only ever catch a tiny glimpse. Society puts a premium on the trappings of wealth; this inevitably serves to exclude its very poorest members, such as the Kelvey sisters. At the same time, the capitalist economic system lures the poor with the promise of all the good things in life they can have if they achieve material wealth. The Kelvey sisters are so near to the doll's house yet so far. This symbolizes the position of their class within capitalist society. The poor are constantly surrounded by outward signs of the enormous wealth generated by the capitalist system, yet they cannot share in it. Even when Lil and Else do finally get a chance to get a look at the fabled doll's house, it's only when the other, much wealthier girls have become bored with it. This could also be construed as an allegory on capitalism, in that consumer go...

Hello! To determine where a function is concave upward or downward, we may use the second derivative. This function is defined everywhere, differentiable and second differentiable everywhere, so Concavity Theorem is applicable. f'(x) = -24*(2x)/(x^2+12)^2 = -48*(x)/(x^2+12)^2, f''(x) = -48*((x^2+12)^2 - x*[(x^2+12)^2]')/(x^2+12)^4 = -48*((x^2+12)^2 - x*2*(x^2+12)*2x)/(x^2+12)^4 = -48*(x^2+12 - 4x^2)/(x^2+12)^3 =-48*3*(4 - x^2)/(x^2+12)^3 = = 48*3*(x^2-4)/(x^2+12)^3. We see that f''(x)=0 for x=-2 and x=2. Moreover, it is negative inside (-2, 2) and is positive outside (the denominator is always positive). The answer: f is concave upward at (-oo, -2) uuu(2, +oo) and is concave downward at (-2, 2).

Ralph and Piggy find a conch shell at the beginning of the novel, and the shell quickly becomes a symbol of authority on the island. Ralph blows into the shell and the sound brings all the other boys—who were scattered after surviving a plane wreck—to the sound of its blasts. At that first assembly, a call arises to elect a chief. Ralph wins, mostly because of the conch: But there was a stillness about Ralph as he sat that marked him out . . . and most obscurely, yet most powerfully, there was the conch. The being that had blown that, had sat waiting for them on the platform with the delicate thing balanced on his knees, was set apart. Throughout the rest of the novel, the conch grants its holder the right to speak at assemblies. It is blown to summon the boys to group meetings and to silence the boys when they speak out of turn. Even the youngest children come when the conch was blown, "partly because Ralph blew it, and he was big enough to be a link with the adult world of autho...

It is a grim reality that Shiftlet does not love Lucynell. To Shiftlet, Lucynell is just a means to an end. Accordingly, Shiftlet abandons Lucynell because his main goal of obtaining an automobile has been accomplished. The text tells us that Shiftlet uses flattery to trick Lucynell's mother into giving him what he wants. Shiftlet also presents himself as a man who has fought bravely for his country and who still cherishes traditional ideals. To further endear himself to Lucynell's mother, he sets about making repairs to the property; he fixes a fence, the roof, and the steps to the house.  Impressed by the prospect of having such a grand son-in-law, the unwitting older woman consents to Shiftlet marrying her deaf-and-dumb daughter. She even gives Shiftlet money for a weekend trip and pays for paint for the automobile. Unfortunately, Shiftlet later abandons Lucynell at a diner, telling the lone worker behind the counter that he is on his way to Tuscaloosa. Now that he has the a...

In common with most Romantics, Wordsworth is deeply conscious of the existence of a primal force that runs through everything on earth, an organic world-soul pointing towards the realm of the eternal. Usually, this force is to be found in nature, amidst the forests, lakes, mountains, and trees. But in "Westminster Bridge," Wordsworth finds himself able to connect with the transcendent sublime in an urban environment. And it's noteworthy that the city in its early morning slumber closely resembles the countryside so memorably evoked by Wordsworth elsewhere. It has a life of its own; it is a living, breathing entity with a mighty, beating heart. Wordsworth sounds utterly astonished at the sheer vitality that the city displays as it basks in the early morning glow: Dear God! the very houses seem asleep; And all that mighty heart is lying still! https://www.poetryfoundation.org/poems/45514/composed-upon-westminster-bridge-september-3-1802 William Wordsworth's poem "...

Graph the rational function $\displaystyle r(x) = \frac{x^3 + 27}{x + 4}$. Show clearly all $x$ and $y$ intercepts and asymptotes. We first find the factor $r$, so $\displaystyle r(x) = \frac{(x + 3)(x^2 - 3x+ 9)}{x + 4}$ $x$ intercept: The $x$ intercepts are the zeros of the numerator, $x = -3$ $y$ intercept: To find the $y$ intercept, we substitute $x = 0$. $\displaystyle r(0) = \frac{0^3 + 27}{0 + 4} = \frac{27}{4}$ The $y$ intercept is $\displaystyle \frac{27}{4}$ Vertical Asymptotes: The vertical asymptotes occur where the denominator is , that is where the function is undefined. Hence, the line $x = -4$ is the vertical asymptote. Next, to know the behavior near vertical asymptote, we set $-3.9$ and $-4.1$ from the right and left of $x = -4$ respectively. So, $\displaystyle y = \frac{[(-3.9) + 3][(-3.9)^2 - 3(-3.9) + 9]}{[(-3.9) + 4]}$ whose sign is $\displaystyle \frac{(-)(+)}{(+)}$ (negative) Hence, $y \to - \infty$ as $x \to -4^+$. Then by substituting $x = 4.1$ to the function...

In his Nobel Peace Prize acceptance speech, Martin Luther King Jr. used the timeless metaphor of a road in order to both make a powerful impact on his audience and to make it easy for people to get the meaning of his statements about the Civil Rights Movement. In his speech, he says, "The tortuous road which has led from Montgomery, Alabama to Oslo bears witness to this truth. This is a road over which millions of Negroes are travelling to find a new sense of dignity. This same road has opened for all Americans a new era of progress and hope. It has led to a new Civil Rights Bill, and it will, I am convinced, be widened and lengthened into a super highway of justice as Negro and white men in increasing numbers create alliances to overcome their common problems." In many ways, this is a metaphor that anyone can understand, whether from Alabama or Oslo. All of us as human beings have walked down a road or a path or a highway, and thought to ourselves that whatever comes along, ...

The parametric equations are: x=t^3-6t  ------------------(1) y=t^2          -----------------(2) From equation 2, t=+-sqrt(y) Substitute t=sqrt(y) in equation (1), x=(sqrt(y))^3-6sqrt(y) =>x=ysqrt(y)-6sqrt(y)  ----------------(3) Now substitute t=-sqrt(y) in equation (1), x=-ysqrt(y)+6sqrt(y)   ----------------(4) The curve will cross itself at the point, where x and y values are same for different values of t. So setting the equations 3 and 4 equal will give the point, ysqrt(y)-6sqrt(y)=-ysqrt(y)+6sqrt(y) =>ysqrt(y)+ysqrt(y)=6sqrt(y)+6sqrt(y) =>2ysqrt(y)=12sqrt(y) =>2y=12 =>y=6 Plug in the value of y in equation 4, x=-6sqrt(6)+6sqrt(6) =>x=0 So the curve crosses itself at the point (0,6). Note that,we can find this point by plotting the graph also.  Now let's find t for this point, t=+-sqrt(y)=+-sqrt(6) The derivative dy/dx is the slope of the line tangent to the parametric graph (x(t),y(t)) dy/dx=(dy/dt)/(dx/dt) y=t^2 =>dy/dt=2t x=t^3-6t =>dx/dt=3t^2-6 dy...

Atticus promises Scout that she will receive her mother's pearl necklace once she grows up into a fine young lady. Jem is promised his father's watch. It cannot be ignored that the necklace symbolizes southern culture and tradition—it is not merely a passing mention in the book. The necklace, a very clear symbol of femininity, shows what Atticus, Aunt Alexandra, and the whole community expect Scout to grow up to be like. Scout is a bit of a tomboy and hardly remembers her mother. It is, in fact, Jem who remembers her and misses her the most, and the gifts would likely be more appreciated by both of them if they were reversed (that is, if Jem received the necklace to remember his mother by and Scout received the watch). The necklace shows that southern society expects Scout to grow up to be a "proper lady" like her mother. Whether Scout actually wants to be one is completely irrelevant. The necklace, therefore, exposes the constricted societal views and expectations to...

"Informal and questioning" is a very interesting way to describe the tone in The Boy in the Striped Pajamas.  Yes, this choice of wording in regards to the tone of the novel can be proved through quotations and examples.  Let us take each part of your description in turn. In regards to the tone being informal, the reader has to remember that the speaker and narrator is an eight-year-old boy, Bruno.  A child of this age will almost always use an informal tone when speaking.  The most famous example of this from the book is Bruno's misunderstanding of certain words.  Most importantly, Bruno thinks the concentration camp Auschwitz is called "Out-With" and Hitler (or "the Führer") is called "the Fury." In regards to the tone being "questioning," this can be proved as well.  Bruno is very inquisitive and curious.  We first find Bruno wondering why "the Fury" has to be invited to dinner.  Next, Bruno wonders why the family has t...

First, if you have not done so already, I would encourage you to read the entire article. Coates uses examples from people's lives, in addition to statistics and rhetoric, to defend his argument and to illustrate the ways in which black people have not traditionally received as much assistance as whites to buy property under fair circumstances. This, in addition to extralegal property seizures, penury and, often, illiteracy, has made it very difficult for black people to reach economic parity with whites. The following quotes are, in my opinion, the most interesting and helpful in illustrating the extent of the injustice: "In 2001, the Associated Press published a three-part investigation into the theft of black-owned land stretching back to the antebellum period. The series documented some 406 victims and 24,000 acres of land valued at tens of millions of dollars. The land was taken through means ranging from legal chicanery to terrorism. 'Some of the land taken from blac...

Billie Joe Armstrong's lyrics throughout Green Day's single "Basket Case" correspond and relate to Holden Caulfield's emotional state throughout the novel The Catcher in the Rye. Holden Caulfield is one of literature's most recognizable unreliable narrators and is portrayed as a naive, highly critical individual who is depressed, anxious, and horny throughout the novel. Armstrong's lyrics directly relate to Holden's entertaining condition and begin with the lines, "Do you have the time / to listen to me whine / About nothing and everything all at once." Essentially, The Catcher in the Rye is simply a first person account of Holden's disgruntled opinions towards American society. He is highly critical about nearly everything and never makes a concrete stand on any issue. Armstrong goes on to sing, "I am one of those / Melodramatic fools / Neurotic to the bone / No doubt about it." These lyrics perfectly describe Holden's pess...

The main theme of the poem centers on the necessity of remembering, celebrating, and cherishing the "truly great" among us. The narrator doesn't specifically state who these "truly great" people are, but they might be famous writers and poets the narrator knows. The narrator praises these "truly great" individuals with highly laudatory words. During his life, Stephen Spender was infatuated with the idea of fame and greatness. He yearned for success and dreamed about it; as a rule, he thoroughly enjoyed being surrounded by successful writers, authors, and poets. It's no surprise, then, that he lavishes high praise on the "truly great." He likens these individuals to essentially superior beings, born from divinity: What is precious, is never to forget The essential delight of the blood drawn from ageless springs Breaking through rocks in worlds before our earth Here, the "blood" of the "truly great" is of divine origin. ...