Why was Animal Farm not an initial success in Britain?
- MATH
f(x)=1+3×2−2x3f(x)=1+3×2-2×3 Find the local maximum and minimum values of ff using both the…
Given f(x)=1+3x^2-2x^3 f'(x)=6x-6x^2 f”(x)=6-12x (a) Extrema occur at the critical points; in this case where f'(x)=0. 6x-6x^2=0 (6x)(1-x)=0 ==> x=0 or x=1 For x<0 f'(x)<0For…
1 educator answer
- MATH
f(x)=(x4)e−xf(x)=(x4)e-x (a) Find the intervals on which ff is increasing or decreasing. (b)…
f is defined everywhere and is infinite differentiable. (a) f'(x)=e−x⋅(4×3−x4)=x3⋅e−x⋅(4−x).f′(x)=e-x⋅(4×3-x4)=x3⋅e-x⋅(4-x). It is positive for x on (0, 4) and f is increasing there, and negative on (−∞,0)(-∞,0)…
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- MATH
f(x)=(x2)−x−ln(x)f(x)=(x2)-x-ln(x) (a) Find the intervals on which ff is increasing or decreasing….
The function is defined for x>0 and is infinitely differentiable. f'(x)=2x−1−1x.f′(x)=2x-1-1x. f'(x) = 0 is equivalent to 2×2−x−1=0,2×2-x-1=0, or x=1, x=-1/2. The second x is out of domain. (a) for x…
2 educator answers
- MATH
f(x)=(x2)ln(x)f(x)=(x2)ln(x) (a) Find the intervals on which ff is increasing or decreasing. (b)…
f(x)=(x2)ln(x)f(x)=(x2)ln(x) (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of f. (c) Find the intervals of concavity and the inflection points…
1 educator answer
- MATH
f(x)=e2x+e−xf(x)=e2x+e-x (a) Find the intervals on which ff is increasing or decreasing….
You need to determine where the function increases or decreases, hence, you need to verify where f'(x)>0 or f'(x)<0. You need to determine derivative of the function:
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- MATH
- a) You need to determine the intervals where the function increases and decreases, hence, you need to determine where f'(x)>0 or f'(x)<0. You need to determine the first derivative, using the…
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- MATH
f(x)=sin(x)+cos(x),0≤x≤2πf(x)=sin(x)+cos(x),0≤x≤2π (a) Find the intervals on which ff is increasing…
f(x)=sinx+cosxf(x)=sinx+cosx differentiating, f'(x)=cosx−sinxf′(x)=cosx-sinx Now let us find the critical points by setting f'(x)=0, cosx−sinx=0cosx-sinx=0cosx=sinx tanx=1 x=pi/4 , 5pi/4 Now let us check the sign of f'(x) to find…
1 educator answer
- MATH
f(x)=xx2+1f(x)=xx2+1 (a) Find the intervals on which ff is increasing or decreasing. (b)…
f(x)=xx2+1f(x)=xx2+1 (a) Take the derivative of the given function. f'(x)=(x2+1)(1)−(x)(2x)(x2+1)2=x2+1−2×2(x2+1)2f′(x)=(x2+1)(1)-(x)(2x)(x2+1)2=x2+1-2×2(x2+1)2 f'(x)=1−x2(x2+1)2f′(x)=1-x2(x2+1)2 Then, solve for the critical numbers…
1 educator answer
- MATH
f(x)=x4−2×2+3f(x)=x4-2×2+3 (a) Find the intervals on which ff is increasing or decreasing. (b)…
f(x)=x4−2×2+3f(x)=x4-2×2+3 (a) To solve, take the derivative of the given function. f'(x)=4×3−4xf′(x)=4×3-4x Then, set the derivative equal to zero. 0=4×3−4×0=4×3-4x Factor the right side of the equation….
1 educator answer
- MATH
f(x)=4×3+3×2−6x+1f(x)=4×3+3×2-6x+1 (a) Find the intervals on which ff is increasing or…
- a) You need to determine the monotony of the function, hence, you need to verify where f'(x)>0 or f'(x)<0. Hence, you need to differentiate the function with respect to x, such that:
1 educator answer
- MATH
f(x)=2×3+3×2−36xf(x)=2×3+3×2-36x (a) Find the intervals on which ff is increasing or decreasing….
- a) You need to determine the monotony of the function, hence, you need to remember that f(x) increases if f'(x)>0 and f(x) decreases if f'(x)<0. You need to evaluate f'(x), such that:
1 educator answer
- MATH
x3+ex=0x3+ex=0 Show that the equation has exactly one real root.
Denote f(x)=x3+ex.f(x)=x3+ex. f is continuous everywhere. When x tends to +∞+∞ , f(x) tends to +∞+∞ , when x tends to −∞,-∞, f(x) tends to −∞.-∞. In another words, there are x1x1 such that
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- MATH
2x+cos(x)=02x+cos(x)=0 Show that the equation has exactly one real root.
Denote f(x)=2x+cos(x). f is continuous and diffetentiable everywhere. Also f is strictly monotone because f'(x)=2-sin(x)>0. Also, f(-1)=cos(-1)-2<0 and f(0)=1>0. By the Intermediate Value…
1 educator answer
- MATH
f(x)=e−x,[0,2]f(x)=e-x,[0,2] Find the number cc that satisfies the conclusion of the Mean Value…
Mean Value Theorem states a function f(x) that the satisfies the following hypotheses: 1. a function f(x) that is continuous on the closed interval [a,b] 2. differentiable on the open interval…
1 educator answer
- MATH
f(x)=x−−√,[0,4]f(x)=x,[0,4] Find the number cc that satisfies the conclusion of the Mean Value…
For the mean value theorem to be valid, the function f(x)=x−−√f(x)=x must satisfy the following conditions on the interval, such that: f(x) is continuous over the interval [0,4] and it is because…
1 educator answer
- MATH
f(x)=1x,[1,3]f(x)=1x,[1,3] Verify that the function satisfies the hypotheses of the Mean Value…
It is sufficient for f to be continuous on [1, 3] and differentiable on (1, 3). This is obviously true (because 0, the only gap of f, isn’t in this interval). Then by the Mean Value theorem there…
1 educator answer
- MATH
The Mean Value Theorem requires that f be continuous on [1, 4] and differentiable on (1, 4). This is true because ln(x) is differentiable for x>0. c mentioned is a number from (1, 4) such that…
1 educator answer
- MATH
Given: f(x)=x3−3x+2,[−2,2]f(x)=x3-3x+2,[-2,2] The function is continuous on the closed interval [-2,2]. The function is differentiable on the open interval (-2,2). f'(x)=3×2−3f′(x)=3×2-3 f'(c)=3c2−3f′(c)=3c2-3…
1 educator answer
- MATH
Given: f(x)=2×2−3x+1,[0,2]f(x)=2×2-3x+1,[0,2] The function is a continuous polynomial on the closed interval [0,2]. The function is differentiable on the open interval (0,2). f'(x)=4x−3f′(x)=4x-3 f(c)=4c−3f(c)=4c-3…
1 educator answer
- MATH
f(x)=cos(2x),[π87π8]f(x)=cos(2x),[π87π8] Verify that the function satisfies the three…
Given the function f(x)=cos(2x)f(x)=cos(2x) in the interval [π8,7π8][π8,7π8] We have to see whether it sattisfies the three hypotheses of Roll’s theorem. (a) f(x) is continuous in the given interval…
1 educator answer
- MATH
f(x)=x−−√−(13)x,[0,9]f(x)=x-(13)x,[0,9] Verify that the function satisfies the three hypotheses of…
Rolle’s Theorem requires that f is continuous on closed interval (true), f is differentiable on the open interval (also true) and f(a)=f(b). f(0) = 0 – 0 = 0, f(9) = 3 – 9/3 = 0, also true. Then…
1 educator answer
- MATH
f(x)=x3−x2−6x+2,[0,3]f(x)=x3-x2-6x+2,[0,3] Verify that the function satisfies the three hypotheses…
Hypotheses 1, 2: f is contionuous on [a, b] and is differentiable on (a, b). It is obvious for a polynomial function. Hypothesis 3: f(a)=f(b), here f(a)=f(0)=2, f(b)=f(3)=27-9-18+2=2. So the…
1 educator answer
- MATH
f(x)=5−12x+3×2,[1,3]f(x)=5-12x+3×2,[1,3] Verify that the function satisfies the three hypotheses of…
Rolle’s Theorem has these three hypotheses: f is continuous on [1, 3], f is differentiable on (1, 3) and f(1)=f(3). The first and the second are obvious for a polynomial function, the third can be…
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- ARTS
Why is Calum Hood so beautiful?
Calum Hood, bassist and singer for the band 5 Seconds of Summer, can be considered attractive based on a few principles to do with how humans evaluate potential mates. His face is highly…
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- LAW AND POLITICS
In California, women gained the right to vote:A. before any other state.B. last among the…
The best answer to this question is Option D. Women in California did gain the right to vote before the right was extended to all women in the United States. However, they only gained this right…
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- SCIENCE
Complete an ionic equation for heating Cu with atmospheric O2
When solid copper metal is heated in presence of atmospheric oxygen, it turns black. This is due to the formation of copper (II) oxide or cupric oxide. The reaction can be represented by:
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- BUSINESS
Define recruitment and selection. Explain why the two terms are important.
The terms Recruitment and Selection are important because of the two different purposes they fulfill in employment in the world of business. Recruitment is the process of using various methods of…
1 educator answer
- LAW AND POLITICS
Young people are _______________ to support gay marriage.A. more likely than older peopleB. less…
Option A is the correct answer. Young people are much more likely than older people to be in favor of gay rights, including the right to same sex marriage. As evidence that this is true, look at…
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- THE MERCHANT OF VENICE
In Act 3 Scene 3, Shylock calls himself a dog with fangs. Does this illustrate anything mentioned…
In Act III Scene III, Antonio pleads for mercy, but Shylock is deaf to his pleas. He declares that he will have his due from the bankrupt Antonio, no matter what Antonio says. Shylock claims that…
1 educator answer
- SCIENCE
What are some comparisons between different computer types?
Depending on their computing power, cost, size and application, computers can be divided into 5 classes or types (although there may be overlap between these classes): Supercomputer: constitutes…
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- LITERATURE
In Shakespearean England, who performed the women’s roles in the theater?
In Elizabethan England, by law, women were not allowed to perform in the theater. Acting was considered a lowly profession to begin with, and it was considered unseemly for women to even think…
1 educator answer
- GUY DE MAUPASSANT
“The Jewelry” Do you think infidelity is the only explanation for Mme. Lantin’s possession of…
This is an excellent question. Maupassant does not tell the reader whether all the jewelry owned by Madame Lantin came from a single man or from many different men. But this subtle author…
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- HISTORY
How did the politics of the 1920s reflect changes in the economy and in American society?
The politics of the 1920s reflected changes in our economy and our society. The 1920s was a very prosperous decade. The going political philosophy toward the economy can best be summed up in the…
1 educator answer
- HISTORY
Who in history or mythology exemplifies the following traits: truthfulness, affection, courage,…
History and mythology give us many examples of virtue. Here are a few you should consider. The Greek orator Aristides was incredibly truthful, for which he was given the nickname “the Just.” During…
1 educator answer
- SCIENCE
Define monocromatic source of light
It is called monochromatic light source to a source that emits light of a single color. Natural light or white light is composed of several colors; these are the colors that can be seen in the…
1 educator answer
- THE SNIPER
What is the connection between the sniper’s “ruse” and the enemy being hit?
A “ruse” is a trick or decoy meant to mislead one’s opponent. The titular sniper needed to trick his enemy in order to survive. The sniper first took a risk by lighting a match so he could smoke a…
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- SCIENCE
The particles in a liquid are free to move at high speeds? true or false?
‘High speed’ is matter of perspective. In general, particles in all phases are capable of moving very fast, but speed can also be thought of in terms of net movement. Also, given enough energy, all…
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- SCIENCE
In a hypothetical city such as Gotham City, the temperature is dropping and the skies are…
Barometers measure air pressure, and there are various environmental factors that affect this. In the first scenario, decreasing temperature tends to result in higher atmospheric pressure because…
- WUTHERING HEIGHTS
What are the connections between Emily Bronte’s Gothic Romance Wuthering Heights and Virginia…
Although the novels differ in many ways, they also have several things in common. One is obvious, but it is sometimes easy to overlook the obvious. That is, they are both novels, imaginary stories…
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- THE CANTERBURY TALES
In Chaucer’s The Canterbury Tales, how does the Wife of Bath maintain control in her marriages?
In Geoffrey Chaucer’s Canterbury Tales, The Wife of Bath is certainly a manipulative character. According to her, what women most want out of marriage is control over her husband. First, the Wife…
1 educator answer
- SCIENCE
A 6.2 kg object undergoes an acceleration of 1.6 m/s 2 . What is the magnitude of the resultant…
Hello! Here we have to use Newton’s Second Law of mechanics, F=ma,F=ma, where mm is a mass of an object, FF is a net force of all forces acting on it, and aa is a resulting acceleration. This…
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- HISTORY
In what ways did the French and Indian War alter the ideological ways of thinking between Britain…
The French and Indian War altered the ideological thoughts of both the British and the colonists. While the British always believed they could run the colonies as they saw fit to do, after the war…
1 educator answer
- HAMLET
What are some examples from the text of Shakespeare’s Hamlet that show Hamlet to be a tragic hero?
Aristotle wrote that to be a tragic hero, one needed to meet a set of criteria. The hero must be a great man. (This is not in the sense that he is an entertaining person to spend time with.) He had…
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- HEALTH
Describe and explain gaseous exchange in humans in terms of the structure of alveoli, blood…
Let’s work this question with a single alveoli. Each alveoli is wrapped in a “net” of capillaries. Think of it like a soccer ball in a mesh bag. The ball is the alveoli. The mesh is the…
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- HISTORY
Why did the new “Industrial Revolution” affect the Northern and Southern states differently?
In the 1790s, America entered the first phase of its Industrial Revolution but the course of economic change ran very differently over the next century in the North and South. The northern states,…
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- I TASTE A LIQUOR NEVER BREWED—
Discuss both the poet’s style and content in I Taste a Liquor Never Brewed.
Emily Dickinson’s style is unique to her. She was fond of capitalizing words she felt were important and punctuating her lines with dashes, forcing her audience to pause (more than a comma might)….
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- RULES OF THE GAME
Which character’s motivation propels the rising action in the short story “Rules of the…
The rising action of the story is not caused by only one character’s motivation. There are two characters and they come to conflict. On the one hand, Mrs. Jong wants to take pride in Waverly, her…
1 educator answer
- SCIENCE
How do you determine percent composition of a mixture of sugar and salt using conductivity?
The conductivity of a solution is proportional to the number of ions it contains. Sodium chloride (table salt) ionizes in water and sugar does not. If you have a conductivity meter you can find the…
1 educator answer
- OTHELLO
What is Bianca’s role in Shakespeare’s Othello and why is she important?
Bianca is a fairly minor character in the play, but does serve a few important roles. First, in almost all of Shakespeare’s plays, we encounter “rustics” or members of the lower classes. Their…
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- ANIMAL FARM
Why was Animal Farm not an initial success in Britain?
As a critic of the Stalin regime, Orwell deplored both the horrors inflicted by British industrialization and Russian communist oppression. He feared a new, dawning age of totalitarianism on a…
1 educator answer