Answer: B AND C on edge.
Explanation:
Evaluate the line integral by the two following methods. Xy dx + x2y3 dy c is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4).
Not sure what "two methods" you refer to, so I'll assume you're supposed to compute the line integral directly as well as with Green's theorem.
Direct computation:
It looks like the line integral is
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy[/tex]
where C is the union of three line segment. We'll partition C and parameterize each component by
• C₁, the line segment from (0, 0) to (1, 0) : x(t) = t and y(t) = 0;
• C₂, from (1, 0) to (1, 4) : x(t) = 1 and y(t) = 4t;
• C₃, from (1, 4) to (0, 0) : x(t) = 1 - t and y(t) = 4 - 4t;
each with 0 ≤ t ≤ 1.
Compute the integrals over each component:
• Along C₁, we have y = 0, so this integral contributes nothing.
• Along C₂,
[tex]\displaystyle \int_0^1 4t \cdot 0 \, dt + (4t)^3 \cdot 4 \, dt = 256 \int_0^1 t^3 \, dt = 64[/tex]
• Along C₃,
[tex]\displaystyle \int_0^1 (1-t)(4-4t) \cdot (-dt) + (1-t)^2(4-4t)^3 \cdot (-4\, dt) \\\\ = \int_0^1 \left(-260 + 1288 t - 2564 t^2 + 2560 t^3 - 1280 t^4 + 256 t^5 \right) \, dt = -44[/tex]
So, the total line integral is
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy = 0 + 64 - 44 = \boxed{20}[/tex]
Using Green's theorem:
The interior of C is the triangular region
[tex]D = \{(x, y) : 0 \le x \le 1 \text{ and } 0 \le y \le 4x\}[/tex]
and the integrand has no singularities either on C or within D. So by Green's theorem,
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy = \iint_D \frac{\partial(x^2y^3)}{\partial x} - \frac{\partial(xy)}{\partial y} \, dx \, dy = \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx[/tex]
The remaining integral is trivial.
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 x \int_0^{4x} (2y^3 - 1) \, dy \, dx[/tex]
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 x \left(\frac12 (4x)^4 - 4x\right) \, dx[/tex]
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 \left(128x^5 - 4x^2\right) \, dx[/tex]
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \frac{64}3 - \frac43 = \boxed{20}[/tex]
A second citizen proposes allowing the private company to charge different prices to different citizens and auctioning the right to build the museum to the highest bidding company. Again, only the citizens who pay the fee may view the museum. What is the highest bid a private company would make to supply the museum to smallsville? (hint: consider the revenue a perfectly price discriminating monopolist could earn relative to the annual interest payment of $1,000. ).
Answer:
a.cademics.helper
Explanation:
get the answer from here
What is a name for el salvador's slang language? mareesh cochise caliche lambada.
El Salvador's is known to have a lot of slang words. The name for El Salvador's slang language is caliche.
Caliche is known to be an informal word that is often used by the Salvadoran Spanish people. It is known to be as a result of colloquialisms and specific indigenous lexical words that pertains to these people.Caliche is simply known as the Nawat (Pipil) often affected by the dialect of Spanish that is often and been spoken in El Salvador. It has been shown that it has an element of Spanish and Salvadoran slang.
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Answer:
Caliche
Explanation:
I took the Quiz
What is the main conflict described in this excerpt?clover feels unhappy and is unsure about whether or not to rebel against animal farm. Clover experiences distress because her beliefs go against what old major taught her. Clover feels frustrated at what has happened at the farm and at her inability to stop it. Clover experiences remorse and regrets not living her dreams before she dies.
The main idea of a passage tell you the key idea the passage is passing across. The main conflict described in this excerpt is that Clover feels frustrated at what has happened at the farm and at her inability to stop it.
The conflict of Animal Farm began from when the animals had the desire for freedom and equality and it was corrupted by the consolidation of political power within the pigs.
Clover was a character in George Orwell's book called the Animal Farm. It often worry over all of the animals.Learn more from
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Answer: it’s C
Explanation:
What is the purpose of the international monetary fund and the world bank brainly.
Answer: The purpose is to raise living standards in their member countries.
You are going to write an essay about the life of a person whom you admire. Which two organizational aids could you use, and why?.
Answer:
Organizational aids are tools that allow an author to help the reader understand and follow the flow of information and ideas within a text. They provide a framework for organizing and connecting what has been written into a cohesive whole.
Explanation:
Two organizational aids that could be used to write about the life of someone whom you admire would either be chronological order or cause-and-effect. The chronological order might be used because the author may want to inform the reader about key events within the person's life, and this organizational aid would help to accomplish that goal. Using cause-and-effect could also work well because it could show how certain events were caused by other events, which ultimately led to the outcome of certain moments in the person's life.
Answer:
You can use a sequence chart or a timeline. Both organizational aids allow you to present the events of the person's life in order of occurrence.
Explanation:
Which detail from the passage best supports the idea that mr. Jones is a reckless farmer? "the uproar awoke mr. Jones, who sprang out of bed" "everyone fled to his own sleeping-place. " "making sure that there was a fox in the yard" "let fly a charge of number 6 shot into the darkness".
The detail from the passage best supports the idea that Mr. Jones is a reckless farmer is "let fly a charge of number 6 shot into the darkness". Thus, option fourth is correct.
What is the meaning of reckless?The term reckless is derived from the Old English word receleas, which means "careless, thoughtless, or heedless."
"Let go a charge of Number 6 shot into the night," according to George Orwell's text, best supports the assumption that Mr. Jones is a reckless farmer.
Mr. Jones is in charge of the Manor Farm before the animals take over and rename it Animal Farm. He is frequently inebriated. He is cruel to animals who are hungry. He stands in for Tsar Nicholas II, who was deposed by the Revolution. Therefore, option fourth is correct.
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The detail from the passage best supports the idea that Mr. Jones is a reckless farmer is "let fly a charge of number 6 shot into the darkness". Thus, option D is correct.
What is the meaning of reckless?The term reckless is derived from the Old English word receleas, which means "careless, thoughtless, or heedless."
"Let go a charge of Number 6 shot into the night," according to George Orwell's text, best supports the assumption that Mr. Jones is a reckless farmer.
Mr. Jones is in charge of the Manor Farm before the animals take over and rename it Animal Farm. He is frequently inebriated. He is cruel to animals who are hungry. He stands in for Tsar Nicholas II, who was deposed by the Revolution.
Therefore, option D is correct.
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What is orwell's main purpose in this passage? to show how easy it is to convince animals and humans of something that is not true to reveal that dictators manipulate others and use deception to further their ambitions to show the negative effects of rumors and misinformation on those in leadership roles to reveal the corruption among many producers, sellers, and buyers of farm products.
Stories often convey different messages. Orwell's main purpose in this passage is to reveal that dictators manipulate others and use deception to further their ambitions.
The passage was an excerpt from Animal Farm. Napoleon knows the bad effect that can take place when real facts of the food situation were known known to the animals.To save them from fear or despair, he makes use of Mr. Whymper to spread a contrary impression.
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Answer:
b
Explanation:
edge 2021
Evaluate the line integral, where c is the given curve. (x + 8y) dx + x2 dy, c c consists of line segments from (0, 0) to (8, 1) and from (8, 1) to (9, 0).
Parameterize the path from (0, 0) to (8, 1) by
• x(t) = 8t and y(t) = t
and the path from (8, 1) to (9, 0) by
• x(t) = 8 + t and y(t) = 1 - t
both with 0 ≤ t ≤ 1.
Over the first path, we have
[tex]\displaystyle \int_{C_1} (x+8y) \, dx + x^2 \, dy = \int_0^1 (8t + 8\cdot t) \cdot (8 \, dt) + (8t)^2 \cdot dt = \int_0^1 (128t + 64t^2) \, dt = \frac{256}3[/tex]
and over the second path,
[tex]\displaystyle \int_{C_2} (x+8y) \, dx + x^2 \, dy = \int_0^1 ((8 + t) + 8(1-t)) \cdot dt + (8+t)^2 \cdot (-dt) \\\\ = \int_0^1 (-48 - 23t - t^2) \, dt = -\frac{359}6[/tex]
and so the total line integral is
[tex]\displaystyle \int_C (x+8y) \, dx + x^2 \, dy = \frac{256}3 - \frac{359}6 = \boxed{\frac{51}2}[/tex]
Which expressions are equivalent to ? select two options.
Answer:
I THINK 43('_) AND 34
Explanation:
It is also known as jingju lianpu that is done with different colors by the performing characteristics personality and historical assessment.
Based on the description given in the question, Peking face-paint is also known as Jingju lianpu that is done with different colors by the performing characteristics personality and historical assessment.
What is Peking face paint?Peking faces paint is famous for being one of the most colorful facial make-up.
Peking face-paint is usually carried out during traditional Perking opera on-stage actors. These actors perform roles referred to as Jing.
Hence, in this case, it is concluded that the correct answer is Peking face-paint.
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Which graph represents the solution set y > – x + 2?.
Look at the graph
___________
Why does judith's little brother need help? he can't get dressed by himself. He can't put his shoes on by himself. He can't get undressed by himself. He can't find his clothes.
Answer:
it's A- He can't get dressed by himself
Explanation:
judith's little brother need help, he can't get dressed by himself. it is needed to teach children how to get dressed.
Why child needs to learn how to get dressed?Teaching to children how to get dressed builds child’s confidence level and independence and it gives them a sense of achievement, so getting dressed by themselves helps the child to develop many other skills.
Some of the skills are fine motor skills like fastening buttons and zip, gross motor skills like standing on one leg to pull on a pair of pant, cognitive skills, language skills that is naming types of clothes, colors and sizes, awareness of time and space
Young children are aware about clothing by pulling off things like socks, shoes or hats,
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According to this passage, what is the main duty of the Secretary at War? to stay informed about the military and its supplies to command the US Army in battle if the president is unable to to fight any enemy Congress chooses to examine the relationship of the United States to other countries.
Answer:
A
Explanation:
100% on edge
Answer:
it is A
Explanation:
Guy above me is right
The little boy became drowsy as the day turned into night.
Answer:
what's the question?
Explanation:
A swim club is designing a new pool to replace its old pool. The new pool would need to last for 10 years since the club is planning on relocating after 10 years. A concrete shell would cost rm85,000 and last for all 10 years. Another option is to install a vinyl liner that would cost only rm70,000 to install. However, the vinyl is not guaranteed to last for all 10 years, and it has a 40% chance of breaking down. Repair of the vinyl would cost rm40,000 and would extend the life of the vinyl liner to the 10-year mark. If both options are acceptable to the swim club, which one minimizes cost?.
If both options are acceptable to the swim club, the one that minimizes cost is concrete shell.
In order to determine the option minimizes cost we are going to calculate EMV of vinyl liner:
EMV of vinyl liner=(1-.40)(70,000) + 0.40(70,000+40,000)
EMV of vinyl liner=.60(70,000) + 0.40(110,000)
EMV of vinyl liner=42,000+44,000
EMV of vinyl liner= $86,000
Based on the above calculation EMV of vinyl liner of the amount of $86,000 is higher than EMV of concrete shell of the amount of $85,000.
Therefore swim club should install the concrete shell in order to minimize cost because it is lesser.
Inconclusion the option that minimizes cost is concrete shell.
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Let f be the function defined by f(x)=x3+x2+x. Let g(x)=f−1(x), where g(3) = 1. What is the value of g'(3)?.
Quick review of the inverse function theorem:
By definition of inverse function,
f(f⁻¹(x)) = x
Differentiating both sides with respect to x using the chain rule gives
f'(f⁻¹(x)) • (f⁻¹)'(x) = 1
so that the derivative of the inverse is
(f⁻¹)'(x) = 1 / f'(f⁻¹(x))
Now if f(a) = b and a = f⁻¹(b), then the theorem says
(f⁻¹)'(b) = 1 / f'(a)
so that
g'(3) = 1 / f'(1)
We have
f(x) = x³ + x² + x ⇒ f'(x) = 3x² + 2x + 1 ⇒ f'(1) = 3 + 2 + 1 = 6
and so
g'(3) = 1/6
Which expression is equivalent to (4 6i)2? –20 48i 8 12i 16 – 36i 20 48i.
Answer:
The answer is: -20 + 48i
Answer:
A
Explanation:
Which expression is equivalent to (4 + 6i)2?
–20 + 48i
why do fishes smell a lot
Answer:
When fish are killed, bacteria and fish enzymes convert TMAO into trimethylamine, which makes the fish oder smell
Explanation:
Answer:
their apart of the ocean so their naturally smelly
Analyze the solution set of the following system by following the given steps. 2x y = 5 3y = 9 − 6x Write each equation in slope-intercept form. Y = x y = x.
Answer:
2x + y = 5
2x -2x+ y = 5 -2x
y=5-2x
y=-2x+5
3y = 9 − 6x
3y/3= 9/3 - 6x/3
y = 3 - 2x
y= - 2x +3
y= - 2x+5,
y= - 2x +3
Explanation: Hope this helps :)
The table shows the heights of 40 students in a class.
Let random variable x represent the number of movies screening at movie theaters in a certain city. The following table shows the cumulative probability distribution of the discrete random variable x.
Answer:
Question
Let random variable x represent the number of movies screening at movie theaters in a certain city. The following table shows the cumulative probability distribution of the discrete random variable x.
Explanation:
Scan some articles for words formed by affixes.
The random variable k has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of random variable k ?.
Answer : 1
Explanation:
k = 11
16 ÷ 11 = 1
answer is 1
If two populations are merged, each with different frequencies of an allele at a locus, and random mating occurs immediately, how long will it take to achieve a hardy–weinberg equilibrium in the new population?.
If two populations with different frequencies of an allele at a locus randomly mate, then only ONE generation will take to achieve Hardy–Weinberg equilibrium. This principle is used in population genetics.
The Hardy–Weinberg equilibrium is a principle used in population genetics to calculate allele and genotype frequencies in a population.
The Hardy-Weinberg equilibrium states that allele and genotype frequencies in a population will remain constant from one generation to the next in absence of different evolutionary forces.
The evolutionary forces that may alter the Hardy-Weinberg equilibrium include natural selection, mutations, nonrandom mating, genetic drift, and gene flow.
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Which lines from the excerpt of antigone best demonstrate that creon abhors criminals who show no remorse for their actions?.
There are different kinds of stories excerpt of Antigone best demonstrate that Creon abhors criminals who show no remorse for their actions is that ''But most I hate when one found out in guilt, Will seek to glaze and brave it to the end''.
Antigon story is known to be that of a tragedy. It was written by Sophocles in the year 441 BCE. The lines talks about why the reason for hating a person if they are guilty, it implies why can't He love them instead.It was a play about the effect of a civil war where two sons of Oedipus, Eteocles and Polyneices, kill each other. In the excerpt, the new king and their successor, Creon punished Polyneices for his disloyalty.
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Which factor is critical in determining whether a mother can grow a healthy placenta during the first month of gestation?.
Answer: Mother's pre-pregnancy nutrition status.
According to the hydrologic cycle, once precipitation has fallen on land, what paths might the water directly take?.
Answer:
What trajectories may precipitation travel after it falls on land? It either soaks into the earth through infiltration, pours over the surface as runoff, or evaporates instantly.
Explanation:
Which equation is represented by the graph below? On a coordinate plane, a curve starts at (0, negative 3) in quadrant 4 and then increases into quadrant 1 and approaches y = 3. Y = e Superscript x y = e Superscript x Baseline minus 1 y = l n x y = l n x minus 1.
Answer 2
Explanation:
Answer:
Option C
Explanation:
Y = In x
Triangle knm is isosceles, where angle n is the vertex. What is the measure of angle k? 11º 25º 50º 65º.
Answer:
B. 25º
Explanation: