Onboard Note

"Mushrooms" by Mary Oliver reflects on how mushrooms grow and the different forms they take.  The first ten lines describe how mushrooms grow. The lines read, Rain, and thenthe cool pursedlips of the winddraw themout of the ground -red and yellow skullspummeling upwardthrough leaves, through grasses, through sand; (1-10) The speaker explains how the rain and the wind play their parts in coaxing the mushrooms "out of the ground." The mushrooms are described as "red and yellow skulls," which gives them a humanlike quality. The mushrooms are "pummeling upward," which indicates the speed and force with which they develop. They move up "through leaves / through grasses / through sand" (8-10). The repetition of the word "through" and the repeated consonant ("T") and vowel ("ou") stylistically describes the growth process of the mushrooms. In the middle of line 10, the next idea continues: astonishingin their sudd...

Although this question looks tough, it is really simple if you break it down into familiar component parts. f(x) is composed of the component "basis" functions which include x^2 and e^-x. I would first graph these familiar functions and study how they behave over their respective domains. f(x) will have an overall behavior which is determined by the behavior of each of these familiar component functions. It is important to realize that c is a real constant. Thus, f(x) actually represents a "family of functions" where the MAGNITUDE and SIGN of c will determine which member of the family of functions we are dealing with. I would recommend that you graph f(x) when c = 0, 1, and -1. These members of the f(x) family will give you a quick sense of how the family of functions will behave for different values of c over the domain of f(x). Lastly, I would recommend that you look at the "end behavior" of f(x) as x approaches positive infinity as well as negative inf...

Benvolio and Lord Montague are clearly worried about Romeo—and with good reason, too. For one thing, he's regularly taken to wandering round the sycamore grove on the West side of the city first thing in the morning for no apparent reason. When Benvolio approached him one time, he hid in the forest. It's obvious that Romeo wants to be alone, but why? What is the cause of such strange behavior? Benvolio's more than happy to leave Romeo alone if that's what he really wants, but it's obvious that there's something not quite right, all the same. As for Montague, he observes how Romeo returns home as soon as the sun comes up, hoping to escape the sunlight. By anyone's standards, this is not normal behavior, not even for a lovesick adolescent. Montague doesn't understand why his son locks himself away in his bedroom all day, shutting out the sunlight. Clearly, there's something eating the young man, but neither Montague nor Benvolio know what it is, and th...

coth^2(x) - csc h^2(x) =1 Take note that hyperbolic cotangent and hyperbolic cosecant are defined as coth (x) = (e^x+e^(-x))/(e^x-e^(-x)) csc h^2(x) =2/(e^x - e^(-x)) Plugging them, the left side of the equation becomes ((e^x+e^(-x))/(e^x-e^(-x)))^2 -(2/(e^x - e^(-x)) )^2=1 (e^x+e^(-x))^2/(e^x-e^(-x))^2 -2^2/(e^x - e^(-x))^2=1 (e^x+e^(-x))^2/(e^x-e^(-x))^2 -4/(e^x - e^(-x))^2=1 ((e^x+e^(-x))^2-4)/(e^x - e^(-x))^2=1 Then, simplify the numerator. ((e^x + e^(-x))(e^x + e^(-x)) - 4)/(e^x- e^(-x))^2=1 (e^(2x)+1+1+e^(-2x) - 4)/(e^x- e^(-x))^2=1 (e^(2x)+2+e^(-2x) - 4)/(e^x- e^(-x))^2=1 (e^(2x) - 2 +e^(-2x)) /(e^x- e^(-x))^2=1 Factoring the numerator, it becomes ((e^x - e^(-x))(e^x-e^(-x)))/(e^x- e^(-x))^2=1 (e^x - e^(-x))^2/(e^x- e^(-x))^2=1 Cancelling common factor, the right side simplifies to 1=1 This verifies that the given equation is an identity. Therefore, coth^2(x) - csc h^2(x)=1 is an identity.

Background information-- In the exposition of the novel No Talking, the main character, Dave Packer, has been affected by what he has read about Mahatma Gandhi, who would not speak at all on one day a week, believing that this was a way to bring order to his mind.  Perhaps, Dave considers, if he practices being quiet, he might do better in his studies. So, he decides to practice silence one day at Laketon Elementary School. At lunch in the cafeteria, when Dave hears a classmate named Lynsey loquaciously describing her shopping trip, he becomes annoyed. He shouts at her, claiming her head would explode if she had to be quiet for a few minutes. Lynsey takes this as a challenge and they agree that for two days their entire class will say no more than three words at a time, nor will they talk at home. In a sense, Dave and Lynsey become team captains and keep tallies of anyone who breaks the rules.  In Chapter 15-- Mrs. Hiatt, the principal, has a meeting with the teachers in which they dis...

The Emperor of Lilliput is a little man in every respect. Vain, petty, and susceptible to flattery, he doesn't present a particularly inspiring vision of kingship. To add to his ever-growing list of sins, he's also an inveterate warmonger, obsessed with defeating and enslaving the neighboring Blefuscans. He tries to enlist Gulliver in this diabolical scheme, but the big man's having none of it, which earns him the undying enmity of the Emperor. Although the Emperor likes to think of himself as being the man in charge, in actual fact he's controlled by his wily ministers Flimnap and Skyresh Bolgolam, who manipulate him into trying to destroy Gulliver, despite all he's done to protect Lilliput from a Blefuscan invasion. This would appear to suggest a certain lack of self-awareness on the Emperor's part. He labors under the impression that he's top dog on Lilliput, when in reality it's more a case of the tail wagging the dog. The Emperor of Lilliput is desc...

The novel essentially addresses two types of collectivist societies: anarchistic and communistic. While a communist society is predicated on a dictatorship of the proletariat (working class), an anarchistic society is predicated on the notion that a central authority is unnecessary. Communism relies on one-party rule; thus relationships within the party are extremely important. Since the controlling authority is based on a hierarchical system, each layer within that hierarchy is subordinate to the one above it. Thus, the integrity of the one-party system largely depends on how well individuals can leverage relationships to their own advantage within that system. As can be seen in China, the one-party communist rule is rife with power struggles and conflict. In her book, Le Guin proposes a collectivist model that does away with the centralism of the communist model. As an example from the novel, Anarres is predicated on an anarchistic model. There was to be no controlling center, no cap...

A strong acid and a strong base will ionize completely, therefore when they are mixed, they will react together to form salt and water. However, weak acids and weak bases only ionize partially. Therefore, when they are mixed, it generally results in a reversible reaction with the formation of a conjugate acid and a conjugate base as products instead of salt and water. When a weak acid reacts with a weak base the weak acid will lose a proton and the species formed is called a conjugate base. The proton lost by the weak acid is accepted by the weak base to form a conjugate acid. So, a conjugate base is what is left after a weak acid has donated a proton in the reaction. The reaction that occurs can be depicted as follows:           weak acid + weak base ⇌ conjugate base + conjugate acid. A common example is the reaction between ammonia (weak base) and water (weak acid).

A Single Shard is set in a small village in Korea in the 12th century. The story centers around Tree-ear, a young orphan who lives under a bridge with an old man named Crane-man. There are, in my view, two main conflicts in this story. The first conflict revolves around Tree-ear's desire to learn how to be a potter. Min is a potter in their area who creates very fine pottery. Often, Tree-ear surreptitiously watches Min at work, and develops a fantasy of learning how to spin clay like Min can. As a homeless orphan, Tree-ear has practically no way to make this dream come true. One day, he enters Min's yard when no one is around to take a surreptitiously take a closer look at the pottery. He accidentally breaks an expensive piece of pottery, and agrees to work for a furious Min to pay off the debt. After he pays off his debt, he begins to work for Min in exchange for food from Min's wife. Tree-ear hopes that Min will teach him how to become a potter, but when he asks him, Min ...

(2x^2+x+8)/(x^2+4)^2 Let(2x^2+x+8)/(x^2+4)^2=(Ax+B)/(x^2+4)+(Cx+D)/(x^2+4)^2 (2x^2+x+8)/(x^2+4)^2=((Ax+B)(x^2+4)+Cx+D)/(x^2+4)^2 (2x^2+x+8)/(x^2+4)^2=(Ax^3+4Ax+Bx^2+4B+Cx+D)/(x^2+4)^2 :.(2x^2+x+8)=Ax^3+4Ax+Bx^2+4B+Cx+D 2x^2+x+8=Ax^3+Bx^2+(4A+C)x+4B+D Equating the coefficients the like terms, A=0 B=2 4A+C=1 4B+D=8 Plug the value of the A and B in the above equations, 4(0)+C=1 C=1 4(2)+D=8 8+D=8 D=8-8 D=0 :.(2x^2+x+8)/(x^2+4)^2=2/(x^2+4)+x/(x^2+4)^2 Now let's check it algebraically, RHS=2/(x^2+4)+x/(x^2+4)^2 =(2(x^2+4)+x)/(x^2+4)^2 =(2x^2+8+x)/(x^2+4)^2 =(2x^2+x+8)/(x^2+4)^2 =LHS Hence it is verified.

A cyclist traveling at a constant speed completes $\displaystyle \frac{3}{5}$ of a trip in $\displaystyle 1 \frac{1}{2} h$. In how many additional hours will the cyclist complete the entire trip? Recall that the formula that relates velocity $(v)$, distance $(d)$ and time $(t)$ is represented by $\displaystyle v = \frac{d}{t}$ Then, if we let $d_1$ be the distance of the entire trip, we have $ \begin{equation} \begin{aligned} v =& \frac{\displaystyle \frac{3}{5} d_1}{\displaystyle 1 \frac{1}{2}} \\ \\ v =& \frac{\displaystyle \frac{3}{5} d_1}{\displaystyle \frac{3}{2}} \\ \\ v =& \left( \frac{\cancel{3}}{5} d_1 \right) \left( \frac{2}{\cancel{3}} \right) \\ \\ v =& \frac{2}{5} d_1 \end{aligned} \end{equation} $ And since the cyclist is traveling at a constant speed, we get $ \begin{equation} \begin{aligned} v =& v \\ \\ \frac{2}{5} d_1 =& \frac{d_1}{t} \\ \\ \frac{2}{5} =& \frac{1}{t} \\ \\ t =& \frac{5}{2} \text{ hours} \end{aligned} \end{equation} $ I...

In an ecosystem, the plants are producers, herbivores are primary consumers (as they feed on the plants), carnivores are the secondary consumers (as they consume primary consumers) and higher carnivores or omnivores are the tertiary consumers. If any single component of the food chain is disturbed the rest are also disturbed. For example, wolves can be thought of as secondary consumers in a grassland that also contains deer. If wolves are removed, the deer population will increase unchecked since their natural predator has been removed from the ecosystem. This will overburden the grasslands since the primary consumers are increasing in numbers. Over time, the deer population will start reducing due to the lack of food. Similarly, tertiary consumers (such as lions, etc.) may also be experience shortage of food since the secondary consumers are no longer available. Thus, if we remove several secondary consumers from the ecosystem, the primary consumers, the producers, and the tertiary co...

You need to find the two x intercepts of the function, hence, you need to solve for x the equation f(x) = 0, such that: f(x) = x^2 + 6x = 0 You need to factor out x, such that: x(x + 6) = 0 => x = 0 x + 6 = 0 => x = -6 You need to evaluate the derivative of the function: f'(x) = (x^2 + 6x)' => f'(x) = 2x + 6 You need to solve for x the equation f'(x) = 0: 2x + 6 = 0 => 2x = -6 => x = -3 Notice that -3 is found between x intercepts -6 and 0. Hence, the derivative of the function cancels at x = -3, which is found between the x intercepts -6 and 0.

Initially there are 1500 bacteria in a culture and it double every 30 minutes. a.) Determine a function that will model the number of bacteria n(t) after t minutes. b.) Determine the number of bacteria after 2 hours c.) After how many minutes will the culture contain 4000 bacteria? a.) Recall the formula for growth rate $n(t) = n_0 e^{rt}$ where $n(t)$ = population at time $t$ $n_0$ = initial size of the population $r$ = relative rate of growth $t$ = time If the population doubles every 30 min (0.5 hours) then $n = 2n_0$ $ \begin{equation} \begin{aligned} 2n_0 =& n_0 e^{r(0.5)} && \text{Divide both sides by } n_0 \\ \\ 2 =& e^{r(0.5)} && \text{Take $\ln$ of each side} \\ \\ \ln 2 =& r(0.5) && \text{Recall that } \ln e = 1 \\ \\ r =& \frac{\ln 2}{0.5} && \text{Solve for } r \\ \\ r =& 1.3863 && \end{aligned} \end{equation} $ Therefore, the model is represented as $n(t) = 1500 e ^{1.3863 t}$ b.) $ \begin{equation} \begin{aligned...

In Shakespeare's play, Caius Martius Coriolanus is a warrior par excellence; in fact, he's very good at being a soldier. The main influence in his chosen lifestyle is his mother, Volumnia, one of Shakespeare's most influential maternal figures. Volumnia cherishes a warrior spirit to rival that of the most battle-hardened Roman soldier. In fact, Coriolanus is inevitably drawn to Volumnia by virtue of his emotional connection to this dominating matriarch. One can argue that he seeks her acceptance and approval as much as he seeks victory on the battlefield. It is Volumnia who encourages her son to excel in warfare and to pursue a course in politics. Coriolanus thinks her "the most noble mother of the world" (Act 5, Scene 3), while Volumnia assures him: "Thou art my warrior; I holp to frame thee" (Act 5, Scene 3). Indeed, Volumnia proudly asserts that "there's no man in the world more bound to 's mother" (Act 5, Scene 3). On the other hand...

Managers need to understand the people in their organizations because they have to be able to understand what their superiors want and get their subordinates to fulfill those desires. Neither is possible without an understanding of the people involved. Managers, in a sense, serve as intermediaries between the upper echelons of a firm and its workers. They are in charge of getting the workers to perform the tasks the upper levels lay out. To do this well, they have to understand both groups of people in their organization. First, they have to understand the people above them in the hierarchy. They have to understand how those people think and what they expect from the rank-and-file workers. Secondly, managers have to understand those who work for them. They have to understand how to motivate their employees and how to get them to feel happy in their jobs. They have to be able to put their employees in situations that allow them to do their jobs as well as possible, thus pleasing the man...

Holden is making another of his close observations about other people; how they act, how they behave, how they dress. In this case, he's referring to Mrs. Morrow's penchant for wearing lots of expensive jewelry. In this specific context, "lousy" doesn't mean "very bad" as in "this coffee's lousy" for example. Instead, it suggests an infestation of lice. Only Mrs. Morrow isn't infested with any kind of bugs or critters, but precious gemstones, or "rocks." Though super-judgmental as always, it seems that Holden kind of likes Mrs. Morrow, which is especially unusual given that her son is someone Holden regards as a "bastard." Indeed, the very thing that seems to have drawn Holden to Mrs. Morrow is his sense that she understands precisely what kind of a "bastard" her son really is. But then Holden immediately reverts to type and distances himself from Mrs. Morrow, insisting that mothers are all slightly insane....

The epic hero is a literary convention that defines a specific type of character. This kind of character typically possesses a number of particular traits, including some sort of extraordinary ability. Beowulf’s extraordinary ability is his strength--no man alive, and almost no monster alive, can match it. The most famous image demonstrating Beowulf’s strength comes early in the story when he fights the monster Grendel: He twisted in pain, And the bleeding sinews deep in his shoulder Snapped, muscle and bone split And broke. This passage shows Beowulf defeating Grendel. But Beowulf doesn't simply win the battle; he does so in grand style (or we might say, in “epic” style) by ripping Grendel's arm from his body. The image of Grendel's arm slung over a rafter in Herot is one of the most famous in all of English literature. Another key trait of the epic hero is his embodiment of his culture's ideals. Beowulf, as part of the early Middle Ages warrior culture, shows the cour...

Luke is converted first to the Orthodox Church, followed by Maroe and the rest of the Old Believers. The responsibility for this conversion is harder to pin down because of the story's ambivalent attitude toward the faith of Luke and the others. The chain of events that leads to the theft of the icon theoretically begins with the double-dealing of Pemen, so, in a sense, he could be held responsible. The Englishman's sympathy for the Old Believers also emboldens Luke and the others to attempt the theft, so he (and his wife) can be thought of as responsible as well. Of course, the priest to whom Luke confesses and who provides absolution is also responsible for their conversion. True responsibility, however, perhaps lies with the notion of belief itself. The Old Believer's reliance on miracles is behind both their belief in their icons and, ironically, their turning toward Orthodoxy, when Luke is made to believe that the "miracles" that enabled their escape over the...

The formula provided represents the volume of the solid obtained by rotating the region enclosed by the curves y = 1 + cosx, y = 1, x = 0, x = pi/2 , about y axis, using washer method: V = pi*int_a^b (f^2(x) - g^2(x))dx, f(x)>g(x) You need to find the endpoints by solving the equation: 1 + cosx = 1 => cos x = 0 => x=-pi/2, x = pi/2 V = pi*int_0^(pi/2) (1 + cosx )^2 - 1^2)dx V = pi*int_0^(pi/2) (1 + 2cos x + cos^2 x - 1)dx V = pi*int_0^(pi/2) (2cos x + cos^2 x)dx V = pi*(int_0^(pi/2) (2cos x) dx + int_0^(pi/2) (cos^2 x)dx) V = pi*(2 sin x + int_0^(pi/2) (1+cos 2x)/2 dx) V = pi*(2 sin x + x/2 + (sin2x)/4)|_0^(pi/2) V = pi*(2sin(pi/2) + pi/4 + 0 - 2*0 - 0/2 - 0/4) V = pi*(2 + pi/4) V = (pi*(8+pi))/4 Hence, evaluating the volume of the solid obtained by rotating the region enclosed by the curves y = 1 + cosx, y = 1, x = 0, x = pi/2, about y axis, using washer method, yields V = (pi*(8+pi))/4.

Rhyme is one of the easiest elements to find in a poem, and Angelou does in fact use rhyme in her poem, "Still I Rise." She uses end rhyme in the second and fourth line of each stanza, though this pattern does change slightly at the end of the poem. You may write me down in history With your bitter, twisted lies, You may trod me in the very dirt But still, like dust, I’ll rise. The words "lies" and "rise" rhyme in this stanza. In the next stanza, "gloom" and "room" rhyme. It's important to notice as well that she uses the rhyme of "rise" often throughout the poem, to emphasize that word. In the last two stanzas, she switches the pattern and rhymes the first two lines and the second two lines, and then she ends with three lines of "I rise." This brings me to the next point: repetition. Angelou uses repetition frequently throughout this poem, specifically through the phrase "I rise." This creates a tone o...

Realism was the tendency of writers and artists in Mark Twain's era (the late 1800s to early 1900s) to create work that reflected real life, without romanticizing anything or making events too fanciful. To that end, this story certainly represents a semi-realistic view of life. For one, it is centered in a very small county in Missouri about which there is absolutely nothing extraordinary, lavish, or extravagant. One aspect of realism is that it doesn't shy away from poverty or the lower classes, and in this story, Twain likewise focuses on a working-class, rather bored county. Additionally, the dialogue reflects the common vernacular of the day, instead of utilizing "proper" English language. This dialogue reinforces the realism inherent in the story, by showing the characters as real people with realistic speech. Finally, the characters are more important to the story than the events themselves, which is common in realist literature. The events are entertaining, but...

Red Chief's real name is Johnny Dorset. Bill and Sam kidnapped the young boy from Ebenezer Dorset because they believed that the man would pay the big ransom demand to get his son back. Unfortunately for Bill and Sam, Johnny Dorset is more than a handful. The boy turns the tables on his captors, and Bill and Sam look for just about any opportunity to get rid of the kid. The two kidnappers write the ransom letter to Mr. Dorset, but instead of paying the ransom, Mr. Dorset offers the kidnappers an alternative proposal. He wants Bill and Sam to pay him $250 dollars to take his own son back. Bill and Sam think that is a great deal.  "We’ll take him home, pay the ransom and make our get-away." The two men return Johnny Dorset at midnight, pay Ebenezer the money, and run as fast as they can out of town. It was just twelve o’clock when we knocked at Ebenezer’s front door. Just at the moment when I should have been abstracting the fifteen hundred dollars from the box under the tr...

In George Washington's Farewell Address of 1796, he first observed that the United States was in an unusual and favorable geographic situation, a situation he described as "detached and distant." He further observed that the United States was in the process of consolidating its territory in North America so that a time would soon come in which it was virtually immune to external military threats and could demand respect for neutrality. With this in mind, Washington advised the United States to pursue a policy of cordiality towards the nations of Europe, entering into "temporary alliances for extraordinary emergencies" but generally avoiding any long-term or standing pacts or agreements with foreign states. This policy recommendation of Washington came to form the basis of what would later be called Washington's Doctrine of Unstable Alliances. https://www.ourdocuments.gov/doc.php?flash=false&doc=15&page=transcript In his Farewell Address, George Wash...

The story begins with Tom Canty living with his abusive father and struggling with life as a pauper. He aspires for a better life, and he is taught to read and write by a kindly priest. Near the palace one day, he sees Prince Edward. In his excitement, he comes too close and is apprehended by the guards. Edward stops them from beating Tom and invites Tom to come with him to the palace. There they learn about each other and decide to temporarily switch places. Edward returns to Tom's home, taking with him the Great Seal of England. After being subjected to abuse from Tom's father, he leaves and meets up with a soldier named Miles Hendon, who protects him. Meanwhile, King Henry has died, and Tom is struggling with court customs and manners. All those of the palace believe he has become ill and lost his memory. His judgements, however, are sound and fair. For the first time in his life, Edward notices the inequality and brutality of England's judicial system, and he is shocked...

During the time that Wilde was writing The Picture of Dorian Gray, psychology was just at the beginning of its rise to scientific legitimacy. Psychology had already started as a recognized field at the beginning of the nineteenth century, but solid research and theories took a few decades to appear. During the time the book was written, around 1890, Freud was just beginning to lay out his ideas on psychology. It was this early exploration of psychology that largely influenced The Picture of Dorian Gray. The story itself examines the consequences of allowing desire (what would later be called the id) to overtake rationality (what would later be called the superego). Dorian allows himself to give in to all temptation and this creates a split between his inner self as displayed in the hideous portrait and the beautiful appearance that he retained. The book examines this conscious fall into temptation, an arguable split identity, and the link between mind and soul. The influence of psychol...

This is an intriguing question! I think you need to determine whether you are attempting to represent the entire story of Macbeth or simply a salient aspect of the story. If you want to represent the whole thing, consider the arc of the play and how you might describe that arc in one sentence. For instance: A good man is corrupted by his ambitions. Macbeth's desire to be king leads him to commit a heinous act and then to double-down on his crime, in order to protect his new position. A good man is corrupted by the promise of power. Macbeth was perfectly happy being Duncan's thane until the Weird Sisters suggested that he could have a better life—in this way, Macbeth is not unlike Eve in the Garden of Eden, with the Weird Sisters functioning in the role of the Serpent, tempting a good person to transgress for the promise of "something more." A good man destroys his life chasing a mirage. Macbeth does not benefit from his crimes and ruins both his own life and the lives...

Moishe the Beadle is considered crazy after he narrowly survives a Nazi firing squad and attempts to warn the citizens of Sighet about the impending arrival of Nazi troops. Moishe the Beadle is a foreign Jew who is one of the first people expelled from the village. He is taken to the Galician forest, where he witnesses atrocities and is shot in the leg. Fortunately, Moishe survives the firing squad and travels back to Sighet to warn the Jewish community. However, the Jewish citizens do not believe his story and think that he is crazy. Mrs. Schächter is another person who is considered crazy by the other Jews in the novel. Mrs. Schächter loses her mind after being separated from her husband and two sons. While traveling in the cattle cars to Auschwitz, Mrs. Schächter begins hallucinating and screaming that she sees massive flames. The other Jewish prisoners become unnerved and decide to bind and gag Mrs. Schächter.

While Ponyboy and Johnny are hiding out at the church on Jay Mountain, Ponyboy wakes up one morning and goes outside to smoke a cigarette. As he is smoking, Ponyboy looks at the beautiful dawn as the sun slowly comes up over the horizon. Pony notices that the sky is lighter in the east and that there is a thin strip of gold across the horizon. As Ponyboy is taking in the stunning scene, Johnny comes outside and comments on how pretty the sky looks. Ponyboy then mentions that he wishes he could paint a picture of the sky while it is still fresh in his mind. Johnny then says, "Too bad it couldn't stay like that all the time" (Hinton 66). Johnny's comment reminds Ponyboy of the Robert Frost poem, "Nothing Gold Can Stay." Ponyboy recites the poem for Johnny but fails to explain the meaning behind the poem. Later on in the novel, Johnny ends up understanding the meaning of the poem and realizes that Robert Frost was describing the transience of nature and life. O...

Geoffrey Chaucer, known popularly as the "Father of English Literature" was born in 1343 and died in 1400. His body of works—with none more famous than The Canterbury Tales—helped legitimize the use of the Middle English language at a time when most scholars dealt specifically in French and Latin.  Edmund Spenser lived two centuries later (1552–1599), and certain scholars might consider him to be the first poet of worth to emerge in England since Chaucer's death. His iconic work, The Faerie Queene, draws on Irish folklore in an epic allegorical poem which, among other things, celebrates the Tudor dynasty.  These two poets were among the most influential early poets of the English language. Spenser was an enormous fan of Chaucer, and both were great admirers of the famous Italian romantic poets. Anne Higgins refers to both of them as "ambitious urban bourgeois." However, one key difference is that Chaucer is often celebrated for his comedy and societal satire, wh...

Johnny Dorset, the son of wealthy banker Ebenezer Dorset, immediately attacks them; later, he terrorizes his captors even more. When Sam and Bill ride up in a buggy and call to the boy, he throws a brick that catches Bill "neatly in the eye." They then have to wrestle Johnny to get him into the buggy: That boy put up a fight like a welter-weight cinnamon bear; but, at last, we got him down in the bottom of the buggy and drove away. After they transport the boy to the cave on the small mountain outside of Summit, Alabama, Johnny decides he wants to be called Red Chief. That evening, he talks incessantly and the men cannot get to sleep for hours. Sam then wakes at daybreak to hear Bill screaming as Red Chief attempts to scalp him. I got the knife away from the kid and made him lie down again. But, from that moment, Bill’s spirit was broken. Bill never really sleeps after this, as he feels he must keep an eye open all the time. Sam dozes some, but as the sun rises, he suddenly r...

The multi-ethnic cultures of the Balkans led to severe conflicts between polarized groups, culminating in wars in 1912 and 1913. Since then, the division of any country into small, hostile units has been known as "Balkanization." The primary reason this led to the destruction of the original country was the impractical division of power. The new political units were too small to effectively unify the region, destabilizing its populace and throwing off the balance of power. The balance between governmental authority and population is a delicate one, and the fact that there was no central government across the region led to irreversible damage. In addition to the fractured government of the Balkans, the cultural divide became too great to overcome. What was once a relatively cohesive culture was fractured into many smaller parts, creating an environment of harshly competing values. This competition led to various conflicts throughout the region and destroyed any existing sense ...

There are a number of arguments in both works by Wilde that have been socialized into public consciousness today. In An Ideal Husband, Wilde bravely makes the inequality between men and women in Victorian society explicit, rather than dwelling on coded or implicit arguments typical of most progressives of his time. For example, he states outright that a man's life is of more value than a woman's. Wilde also comments on how language, rather than being a neutral vehicle for expression, often forms rhetorical games that are used to squelch the agency of oppressed groups. For example, when Lord Caversham appeals to the phrase "common sense" to argue that women are less functional and independent, he ironically only succeeds in making a self-referential statement about his own ignorance. These insights are useful tools for understanding how to identify language that oppresses rather than illuminates; for example, they can be used to discriminate between fake news and rigor...

Evaluate the function $f(x) = x^3 - 4x^2$ at $f(0), \quad f(1), \quad f(-1), f\left( \frac{3}{2} \right), \quad f\left( \frac{x}{2} \right), \quad f(x^2)$ For $f(0)$ $ \begin{equation} \begin{aligned} f(0) &= (0)^3 - 4(0)^2 && \text{Replace } x \text{ by } 0\\ \\ &= 0 \end{aligned} \end{equation} $ For $f(1)$ $ \begin{equation} \begin{aligned} f(1) &= (1)^3 - 4(1)^2 && \text{Replace } x \text{ by } 1\\ \\ &= 1-4 && \text{Simplify}\\ \\ &= -3 \end{aligned} \end{equation} $ For $f(-1)$ $ \begin{equation} \begin{aligned} f(-1) &= (-1)^3 - 4(-1)^2 && \text{Replace } x \text{ by } -1\\ \\ &= -1-4 && \text{Simplify}\\ \\ &= -5 \end{aligned} \end{equation} $ For $f\left( \frac{3}{2} \right)$ $ \begin{equation} \begin{aligned} f\left( \frac{3}{2} \right) &= \left( \...

For exponential equation:2^(3-z)=625 , we may apply the logarithm property: log(x^y) = y * log (x) . This helps to bring down the exponent value. Taking "log" on both sides: log(2^(3-z))=log(625) (3-z)* log (2) = log(625) Divide both sides by log (2) to isolate (3-z): ((3-z) * log (2)) /(log(2))= (log(625))/(log(2)) 3-z=(log(625))/(log(2)) Subtract both sides by 3 to isolate "-z": 3-z=(log(625))/(log(2)) -3 -3 ------------------------------------ -z=(log(625))/(log(2)) -3 Multiply both sides by -1 to solve +z or z: (-1)*(-z)=(-1)* [(log(625))/(log(2)) -3] z~~-6.288 Rounded off to three decimal places. To check, plug-in z=-6.288 in 2^(3-z)=625 : 2^(3-(-6.288))=?625 2^(3+6.288)=?625 2^(9.288)=?625 625.1246145~~625 TRUE Conclusion: z~~-6.288 as the final answer.

The short answer is "just about everything affects the biosphere." The biosphere is the part of planet Earth where life exists. In general, the biosphere extends 8 kilometers above sea level to 8 kilometers below sea level. The biosphere is divided up into different ecosystems, and those are made up of biotic and abiotic factors. Those living and non-living things do not exist in a vacuum. Well, Earth does technically exist in a vacuum. What is meant is that each factor depends on and affects other factors in some way. There is huge interdependency within Earth's biosphere. Changes in sunlight, temperature, rainfall, etc. all affect what happens within the biosphere. This is why different ecosystems exist. Not all organisms are capable of living in each environment. Each organism has a niche to fill, which affects an area in at least one way. If that organism were to no longer exist, there would be a ripple effect toward other environmental factors. Even changes in popula...

When Paris states his wish to marry Juliet in act 1, scene 2, Lord Capulet is at first against the idea, arguing that Juliet is simply too young. Capulet says, My child is yet a stranger in the world.She hath not seen the change of fourteen years.Let two more summers wither in their prideEre we may think her ripe to be a bride. At thirteen, Juliet is very young for marriage, and Capulet's words reflect his sense of responsibility toward his daughter. He wants her to get a few years older before she marries. Later in this scene, after further thought, Capulet seems to change his mind. He urges Paris to win Juliet's love in order to garner his approval: "Woo her, gentle Paris, get her heart." Even this new argument reveals Capulet's love for his daughter. He needs to know that Juliet is truly in love before he will give her away. His words suggest that his relationship with his daughter is a good one and that he trusts Juliet's judgement. Throughout most of ac...

The derivative of y with respect to is denoted as y' or (dy)/(dx) . For the given equation: y = arctan(x/2) -1/(2(x^2+4)) , we may apply the basic property of derivative: d/(dx) (u-v) =d/(dx) (u) - d/(dx)(v) Then the derivative of y will be: y' = d/(dx)(arctan(x/2) -1/(2(x^2+4))) y' =d/(dx)(arctan(x/2)) - d/(dx)( 1/(2(x^2+4))) To find the derivative of the first term: d/(dx)(arctan(x/2)) , recall the basic derivative formula for inverse tangent as: d/(dx) (arctan(u)) = ((du)/(dx))/(1+u^2) With u = x/2 and du=(1/2) dx or (du)/(dx) =1/2 , we will have: d/(dx)(arctan(x/2)) = (1/2) /(1+(x/2)^2) = (1/2) /(1+(x^2/4)) Express the bottom as one fraction: d/(dx)(arctan(x/2)) = (1/2) /((x^2+4)/4) Flip the bottom to proceed to multiplication: d/(dx)(arctan(x/2)) = 1/2*4/(x^2+4) = 4/(2(x^2+4)) =2/(x^2+4) For the derivative of the second term: d/(dx)(1/(2(x^2+4))) , we can rewrite it using the basic prope...

It is no easy thing to trim such a detailed and surprising story down to a mere fifty words. However, a good place to start would be to decide on the story's most important elements as well as how best to pique readers' interest in its content. The setting in 1920s Dublin seems significant in achieving an understanding of the conflict described in the story. We must identify the protagonist, as well: he is an unnamed Republican sniper looking to keep himself alive even as he strives to neutralize any enemy threat. Finally, the protagonist's happiness at his apparent success in shooting and killing an enemy sniper on another rooftop is followed by his immediate "remorse" as "the lust of battle died in him." This feeling seems to foreshadow his eventual recognition that he has shot and killed his own brother. On the other hand, I would leave out a description of the tactical strategy the sniper employs after sustaining his own injury, as this is not really...

The poem's mood is energetic and melodic by its varied refrain and repetitions but the tone displays a man's despair and optimism with the purpose to encourage readers to always persevere in desperate times. Many of Hughes' poems represent the voices of those increasingly oppressed by white Americans. Through these voices, he uses oppression to display perseverance and racial pride. For African Americans, Hughes' poetry represents their lives, that for many are less than accommodating and is a way for them to survive a white-dominated society. He encourages them to persevere even when life may become tough. In his poem, "Life is Fine", Hughes assumes the voice of a vulnerable character who considers suicide saying that he "could've died for love-/ But for livin' [he] was born" (ll. 14-15). This voice experiences moments that they would otherwise have felt a reason to no longer continue living or accept the oppressive actions of predominantly ...

Colonists' ideas about government (or at least the ideas of many colonists) were beginning to differ from those held by Parliament in the 1760s primarily in that the colonists opposed the imposition of additional taxes and regulations by Parliament in the wake of the French and Indian War. For many years, the colonists had benefited from lax enforcement of imperial regulations, a practice referred to after the fact as "salutary neglect." However, in the wake of the war, the British government began to exert more direct control over the colonies, and the colonists argued that these changes represented a violation of their rights as British subjects. Particularly objectionable was the Stamp Act, passed in 1765, that essentially placed a tax on official documents by requiring a revenue stamp on them. The colonists, lacking representation in Parliament, claimed that this was a violation of their rights, and engaged in protests that eventually led to the repeal of the law. Par...

The details the narrator provides about the crumbling and decaying house foreshadow the fate of the crumbling and decaying Usher family; the "House" of Usher, then, refers to both the physical house itself as well as the Usher line. The narrator remarks specifically on the "barely perceptible fissure, which, extending from the roof of the building in front, made its way down the wall in a zigzag direction, until it became lost in the sullen waters of the tarn." In other words, a casual observer of the house would not necessarily detect the weakness in the house's structure. Likewise, a casual observer of the family would not necessarily detect the figurative cracks or weaknesses in it, but a more detailed look reveals what will lead to its demise. Roderick Usher tells the narrator of a "constitutional and family evil," a strange malady for which there is no cure. "He suffered much from a morbid acuteness of the senses": in other words, the wa...

 Given the equation of a line y = mx + b, => slope = dy/dx = m . Thus, the distance is: L = int_a^b sqrt(1+(dy/dx)^2) dx where a   we know the two points (x_1,y_1)=(1,2) (x_2,y_2)=(7,10) m = (y_2- y_1)/(x_2-x_1) = (10-2)/(7-1) = 8/6=4/3 so now the length is L = int_1^7 sqrt(1+(4/3)^2) dx  = int_1^7 sqrt(1+(16/9)) dx  = int_1^7 sqrt(25/9) dx = int_1^7 (5/3) dx = (5/3) int_1^7 1 dx  = (5/3) |_1^7 x = (5/3)[7-1] = (5/3)6 = 5*2 = 10   so the distance between the two points = 10

Research has supported the connection between education for women and the attainment of women's rights and gender equality in their respective countries. For example, an additional year of schooling for a woman has been shown to result in a 10–20% increase in her wages. This increase helps decrease economic inequality and promotes gender equality across the society.  In addition, women's education is connected to lower infant mortality, lower numbers of average children per woman, and lower maternal death rates. Women with smaller families tend to live better in many countries. In addition, women who have greater education are generally better able to make sound choices about the healthcare of themselves and their children; they can read and reason more effectively in many ways. Women with better health are better able to advocate for themselves and their children.  In addition, women with higher rates of education can participate more fully in the political life of their count...

This is a challenging question because The Temple of My Familiar has so many obvious and implied themes. Here are two ways to figure out some of the book's main ideas and underlying messages. Examine some of the maxims in "The Gospel According to Shug" (part two, verso, and part five, first chapter). In what ways are these sayings illustrated by characters and events in the book? For example, you could look closely at the first maxim: "Helped are those who learn that the deliberate invocation of suffering is as much a boomerang as the deliberate invocation of joy." Then you could ask yourself questions such as: How is Suwelo helped by remembering the terrifying car accident that killed his parents? How is Fanny helped by remembering the pain of being slapped for kissing a white friend? Or you could reread a less prominent saying, such as "Helped are those who find something in Creation to admire each and every hour." Then you could look for illustratio...

Marianne was, and remains, a symbol of the French Republic. She is shown in countless representations—busts, statues, paintings—as being a beautiful, statuesque woman wearing a long flowing robe and a Phrygian cap. After the French revolutionaries executed the king, the new republic needed a symbol all of its own to represent the new France. As a result, Marianne was born. As well as representing the republic, she is also the embodiment of liberty. In fact, on the numerous occasions since the Revolution when France has ceased to be a republic, Marianne has remained as a symbol of liberty. In that sense, Marianne continues to represent an important ideal in French civic life, a shining example to which all people who desire the good of France should aspire. https://www.gouvernement.fr/en/marianne-and-the-motto-of-the-republic

One technique Haruki Murakami often employs in his short stories is to directly state the primary themes early on or at the end of the work. He does this in order to create a fable-like quality in his stories, a feeling of "this is what I learned, now sit back and let me tell you how I learned that lesson," so to speak. In "The Second Bakery Attack," Murakami places the story's theme in the opening paragraph when the narrator says: [W]rong choices can produce right results, and vice versa. I myself have adopted the position that, in face we never choose anything at all. Things happen. Or not. Throughout this story, the narrator attempts to explain how the events that unfold, the gunpoint robbery of a McDonald's in Tokyo, happened outside of his control. He begins the story explaining the unquenchable hunger he and his wife had been suffering from just weeks after they married. The narrator tells his wife he had felt hunger like this before, when he "att...

Shakespeare's plays can be divided into two broad categories: comedies or tragedies. Comedies have happy endings; in the most general terms, this means that no central character dies. Tragedies have unhappy endings; this means that major characters die. Using this simple rule of thumb, that in a tragedy at least one major character dies, Romeo and Juliet is a tragedy. The fact that Romeo, Juliet, Mercutio, Tybalt, and Paris all die adds up to a tragically high death count. Another characteristic that makes this a tragedy is that none of these characters needed to die; if there had been no senseless feud between the Capulet and the Montague families, all of these characters would have lived. Mercutio and Tybalt would not have entered into a sword fight if there was no feud. Paris would not have thought Romeo was planning to defile Juliet's grave if he did not think of Romeo as an enemy to the Capulets, and he would not have challenged Romeo to the sword fight that led to his dea...

Given y'+y*secx=secx when the first order linear ordinary Differentian equation has the form of y'+p(x)y=q(x) then the general solution is , y(x)=((int e^(int p(x) dx) *q(x)) dx +c)/ e^(int p(x) dx) so, y'+y*secx=secx--------(1) y'+p(x)y=q(x)---------(2) on comparing both we get, p(x) = secx and q(x)=secx so on solving with the above general solution we get: y(x)=((int e^(int p(x) dx) *q(x)) dx +c)/e^(int p(x) dx) =((int e^(int secx dx) *(secx)) dx +c)/e^(int secx dx) first we shall solve e^(int secx dx)=e^(ln(secx +tanx)) = secx+tanx so proceeding further, we get y(x) =((int e^(int secx dx) *(secx)) dx +c)/e^(int secx dx) =(int ((secx+tanx)*(secx)) dx +c)/(secx+tanx) =(int ((sec^2x+tanx*(secx)) dx +c)/(secx+tanx) =(int (sec^2x) dx+int (tanx*(secx)) dx +c)/(secx+tanx) =(tanx+secx +c)/(secx+tanx) so y(x)=(tanx+secx +c)/(secx+tanx)=1 +c/(secx+tanx) Now we have to find the particular solution at y(0) =4 so y(x) =1 +c/(secx+tanx) => y(0) = 1+c/(sec(0)+tan(0)) =4 =...

When Norma looks out at the city at the beginning of the novel, she sees the following: "That broad avenue, choked with traffic and people, with buses and moto-taxis and vegetable carts. Or life on the city rooftops: clothes hanging on a line next to rusting chicken coops, old men playing cards on a milk crate, dogs barking angrily, teeth bared at the heavy sea air. She'd even seen a man once, sitting on his yellow hard hat, sobbing" (page 4). In the city, life is a spectacle, a panorama in which every space is taken. After being displaced from the jungle, people have transported part of their rural lives to the city so that elements of the jungle, such as chicken coops, are juxtaposed next to elements of urban life, such as city rooftops. Human emotions such as despair are on display in the city. Rey compares the city to "networks of impulses...human, electrical, biological" (page 65). In this metaphor, the city seems partly alive and partly mechanical, and the...

There are a number of similarities and contrasts in the fate of the two characters you mention. Firstly, in both instances, money (or the need for it) plays an intrinsic role in what eventually happens in the characters' lives. In Mr. White's situation, though, the need for money is not as desperate as in Paul's family. Paul is constantly aware of the need for more money in their household. He imagines hearing it crying out from all corners of their house. It is a constant, almost frenzied, plea. Paul's wild imagination and his belief in his own luck make him bet on the races, and he is fortunate enough to win often. Mr. White's circumstances are different in that he wishes for money to settle the bond on his house. There is no indication in the story that there is an urgent need for cash; in fact, Mr. White at one point states that he seems to have all he wants. In addition, Mr. White uses the monkey's paw to make a wish for two hundred pounds at the urging of ...