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]
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:
Complete the following equations (note that the equations are not balanced). Use the activity series if necessary. An activity series, listed as most reactive to least reactive: Upper L i, Upper K, Upper B a, Upper S r, Upper C a, Upper N a, Upper M g, Upper A l, Upper M n, Upper Z n, Upper C r, Upper F e, Upper C d, Upper C o, Upper N i, Upper S n, Upper P b, Upper H, Upper S b, Upper B i, Upper C u, Upper A g, Upper P d, Upper H g, Upper P t, Upper A u. Al AgCl Upper N a upper C l subscript 2 right arrow. ? AlAg3 Cl2 AlCl3 Ag no reaction AlCl Cl.
Answer :AlAg3 + Cl2
Explanation:
Al + AgCl Upper N a upper C l subscript 2 right arrow. ?
The complete chemical equation would be as follows:
[tex]AlAg_{3} + Cl_{2}[/tex]
Chemical equation is described as the representation or display of a chemical reaction in the form of chemical symbols or system.In the given equation, the subscript followed by AlAg3 by an upper C l subscript with 2. This will produce the reaction i.e. "[tex]AlAg_{3} + Cl_{2}[/tex]."
Thus, the complete equation would read as "[tex]AlAg_{3} + Cl_{2}[/tex]."
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What mass of glucose (C6H12O6) should be dissolved in 12. 0 kg of water to obtain a solution with a freezing point of -5. 8 ∘C?.
Answer:
6.7 kg
Explanation:
(0) - (-5.8)= 5.8ºC
5.8 / 1.86 = 3.12 m C6 H12 O6
The molar mass of C6 H12 O6 is: 180.156 g/mol
3.12 * 12 kg * 180.156 g/mol = 6,745.041 g = 6.7 kg.
The mass of glucose solute dissolved in the solution is 6.739 Kg.
Recall that;
ΔT = K m i
ΔT = Freezing point depression
K =Freezing point depression constant = 1.86°C/mol
m = molality of the solution
i = Van't Hoff factor = 1 (molecular solution)
We have to find the freezing point depression from;
Freezing point depression = Freezing point of pure solvent - Freezing point of solution
Freezing point of pure water = 0°C
Freezing point of solution = -5. 8 ∘C
Freezing point depression = 0°C - (-5. 8 ∘C) = 5. 8 ∘C
Now;
m = ΔT/K i
m = 5. 8 ∘C/ 1.86°C/mol × 1
m = 3.12 m
But molality = number of moles of solute/mass of solvent in Kg
Molar mass of solute = 180 g/mol
Let the mass of solute be m
3.12 = m/180/12
3.12 = m/180 × 12
m = 3.12 × 180 × 12
m = 6739 g or 6.739 Kg
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Which shows the graph of the solution set of 6x + 4y < 12?.
Answer:
there no image
Explanation:
Answer:
3rd
Explanation:
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 method of choosing teams would be most hurtful to lower skilled players? A. Having team captains pick one player at a time B. Having people count off C. Having people team up according to birthdays D. Having people draw numbers.
Answer:
The answer has to be A
Explanation:
Cause that has to down grade one's skill
Answer:
Which method of choosing teams would be most hurtful to lower skilled players?
A. Having team captains pick one player at a time <<<------ CorrectB. Having people count off
C. Having people team up according to birthdays
D. Having people draw numbers.
Explanation:
Edge 2022 100% on unit test
It takes John 1.5 hours to ride a distance of 17 kilometers on his bike. John wants to
calculate his average speed during the journey.
Which is an appropriate unit for his average speed?
hr/km
km/hr
km
hr
Answer:
Km/hr
Explanation:
It is Km/hr since the 17 is in Km, and the 1.5 is in hours. So in geneeral, to measure speed, it is usually the km first and then the hr
So... hr/km is WRONG
And... km/hr is RIGHT
Which statement describes the graph of this polynomial function? f (x) = x superscript 5 baseline minus 6 x superscript 4 baseline + 9 x cubed.
Answer:
1
Explanation:
Answer:
A on edg 2022
Explanation:
got it right
A samoan handicraft company is expanding its market into australia and new zealand. The company’s director of marketing is researching the two additional markets for this expansion. She is comparing various cultural aspects of the two countries. Which areas of culture should she consider when studying the countries for changes in the marketing mix?.
Culture is part of our everyday life. The areas of culture that should be consider when studying the countries for changes in the marketing mix are;
Geography, income bracket, gender, age Time and punctuality, customs and taboos, religious beliefs and celebrations, values.
Samoa is known to have different cultures when compared to other countries. The director in charge of marketing in the firm should research the geography of New Zealand and Australia because it is different from Samoan geography.
He should conduct a well detailed demographic analysis such as income bracket, gender, and age so that they can know more about possible customers.
The culture and tradition of New Zealand and Australia should be studied so that their business can have a smooth running overtime.
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What must be the value of x so that lines c and d are parallel lines cut by transversal p? 12 18 81 99.
Answer:18
Explanation:
The lines c and d are parallel if x = 18.
Hence, option B is correct.
Use the concept of an equation of line defined as:
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
In the figure,
The corresponding angles are (3x + 45)° and 81°
The objective is to find the value such that lines c and d become parallel.
Since we know that,
The sum of angles of parallel lines passing through a common line is 180°,
Therefore,
(3x + 45)° + 81° = 180°
Simplifying like terms,
3x = 54
Divide both sides by 3,
x = 18
Hence,
The required value of x is 18 which is option B.
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The complete question is:
What must be the value of x so that lines c and d are parallel lines cut by transversal p?
A. 12
B. 18
C. 81
D. 99
y = 4(x - 2)(x + 4)
In the quadratic equation above, a is a nonzero
constant. The graph of the equation in the xy-plane
is a parabola with vertex (c,d). Which of the
following is equal to d ?
A) -90
//
B) -8a
©) -5a
D) -2a
Answer-A
Explanation:
An equilibrium mixture contains 0. 600 mol of each of the products (carbon dioxide and hydrogen gas) and 0. 200 mol of each of the reactants (carbon monoxide and water vapor) in a 1. 00 l container. Co(g)+h2o(g)↽−−⇀co2(g)+h2(g) how many moles of carbon dioxide would have to be added at constant temperature and volume to increase the amount of carbon monoxide to 0. 300 mol once equilibrium has been reestablished?.
Answer:
thanks po
Explanation:
yes po thanks salamat kamsamhida arigato
We should appreciate that the telephone here have been working as efficient as in the past.
Which of the following is not a characteristic of all plants?.
Brea and colin do business as dig excavators. In acting on the firm’s behalf, brea makes an honest error in underestimating the cost of a certain project. In this situation, to her firm, brea is liable for a breach of the duty of.
People often breach duty as a result of some factors. In this situation, to her firm, Brea is liable for one of the choices of breach of the duty.
There are times, the court will say that a breach of duty of care is due to the existence of certain factors. When an individual is injured, the defendant is said to have breached the duty of care.
Breach of duty often takes place when an individual's conduct fails to meet an applicable standard of care.
As the error was due to a honest mistake, she will be ask to make appropriate corrections.
See full question below
Brea and Colin do business as Dig Excavators. In acting on the firm's behalf, Brea makes an honest error in underestimating the cost of a certain project. In this situation, to her firm, Brea is liable for a breach of the duty of
Loyalty.
accounting
care.
none of the choices.
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Find the measure of a negative angle coterminal with 95°.
The measure of a negative angle coterminal with 95° are for any integer n 95° – (1,080n)°. Thus, option (b) is correct.
What is coterminal?Angles in common position (angles with the starting side on the positive x-axis) that have a shared terminal side are referred to as coterminal angles. It's as easy as subtracting or adding 360° or 2 to each inclination, depending on whether it's measured in degrees or trigonometric functions. There are an endless amount of coterminal angles to be discovered.
The measure of a negative angle coterminal with 95°
Ф + 360 n
n is any integer (negative or positive)
Ф = 95°,
- 3n is an integer,
The co-terminal angles of 95° are,
= 95° + 360° (-3n)
= 95° - (1080 n)° ; for any integer n.
As a result, the measure of a negative angle coterminal with 95° are for any integer n 95° – (1,080n)°. Therefore, option (b) is correct.
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Your question is incomplete, but most probably the full question was.
for any integer n 95° – (1,450n)°, for any integer n 95° – (1,080n)°, for any integer n 95° – (780n)°, for any integer n 95° – (340n)°,A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day? 80 children 150 children 200 children 320 children.
150 children attended the fair for that day if $900, and 350 people attended the fair, hence option b is correct.
What is the number of children attended the fair?Detailed explanation:
Let's say there are x youngsters and y grownups.
350 persons in all visited the fair, thus.
So, x + y = 350.
In addition, fees per kid are $2 and fees per adult are $3.
Since, $900 is assumed to represent the entire sales.
So, 2x + 3y = 900
Consequently, we have the equation system,
2x + 3y = 900
x + y = 350
Now let's resolve the equations.
x + y = 350 ⇒ y = 350 - x
The result is that 2x + 3y = 900 2x + 3(350 -x) = 900 2x + 1050 - 3x = 900 -x = -150 x = 150.
The result is that y = 350 - x y = 350 - 150 y = 200.
Therefore, As a result, 150 children and 200 adults, respectively, visited the fair.
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What increases the frequency of adaptive mutations.
Answer:
What increases the frequency of adaptive mutations? = hitch-hiking.
Explanation:
the mutator allele increases in frequency by hitch-hiking, thus facilitating the appearance of a second adaptive mutation
Which best describes the first law of thermodynamics as compared to the second law of thermodynamics? The first law describes how thermal energy is conserved but not the direction it moves. The first law describes the direction thermal energy moves but not how it is conserved. The first law describes how thermal energy can be created but not how it can be destroyed. The first law describes how thermal energy can be destroyed but not how it can be created.
The statement which best describes the difference between the first law of thermodynamics in comparison with the second law of thermodynamics is that: A. The first law describes how thermal energy is conserved but not the direction it moves.
The First Law of Thermodynamics states that energy can neither be created nor destroyed but it can only be transformed (converted) from one form to another such as potential energy to kinetic energy. Thus, thermal energy is always conserved according to the First Law of Thermodynamics.
On the other hand, the Second Law of Thermodynamics states that the entropy (disorderliness) of an isolated system always increases and can never be decreased. Thus, the direction of an energy is described by the Second Law of Thermodynamics.
In conclusion, the difference between the First Law of Thermodynamics in comparison with the Second Law of Thermodynamics is that the first law describes how thermal energy is conserved but not the direction in which thermal energy moves.
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Answer:
A is the answer
Explanation:
This is for people who don't like reading long answers :)
~Hope it helps!
Like strain theory, control theory explains deviance as a natural occurrence. Please select the best answer from the choices provided T F.
Answer:
True
Explanation:
Answer:
True
Explanation:
As on Edu 2022
He has plundered our seas, ravaged our Coasts, burnt our towns, and destroyed the lives of our people. –The Declaration of Independence, Thomas Jefferson Which statement best describes the use of rhetorical appeals in the passage? The passage relies on pathos by listing facts that support Jefferson’s point. The passage relies on ethos by demonstrating why Jefferson is qualified to discuss the issue. The passage relies on pathos by generating sympathy for the American people. The passage relies on ethos by using strong, emotional language.
Answer:
C- The passage relies on pathos by generating sympathy for the American people.Explanation:
The passage relies on pathos by generating sympathy for the American people is the statement best describes the use of rhetorical appeals in the passage. Thus, option (c) is correct.
What is passage?
The term “passage” refers to the explanation and description of a sentence in relation to a topic. The passage aimed to describe those details related to the theme of the story. The different passage is to justify to the different things as to clarify. The passage is to define the important terms.
According to the given, the passage was the justify the details of the relies in the pathos was the feeling related to the generated the sympathy for the American people. According to this passage's including the pathos, the narrator was expressing the emotions of herself. Pathos was always appealing to emotions, imagination, and also beliefs and values.
Therefore, option (c) is correct.
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How many ways can we award first and second place to 5 competitors.
Answer:
There are 5 choices of prize for the first person, 4 choices for the second, and so on. The number of ways the prizes can be distributed will be 5! = 5 · 4 · 3 · 2 · 1 = 120 ways.
Explanation:
What are three advantages of digital x-rays over film.
Answer:
Digital x-rays require less time, reduce radiation, and are cheaper.
:)
Choose the best Spanish word to complete the sentence. ________ las dos y veinte. Es Son Está Están.
Answer:son
Explanation:
Answer: I think it's "son"
Explanation: I just do
Which child is most likely to receive treatment for her or his psychological challenge?.
There are different form of disorder that use to affect people. The child that is most likely to receive treatment for her or his psychological challenge is Diana, who has bipolar disorder symptoms.
Bipolar disorder is simply described as a mental health condition that involves being in high and low moods.
Highs are known to be times of mania or hypomania, while lows are times of depression.
The changes in mood can be mixed as a person may feel elated and depressed at the same time.
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Which child is most likely to receive treatment for her or his psychological challenge?
-Diana, who has bipolar disorder symptoms
-Anna, who has a mild case of dyslexia
-William, who suffers from binge eating disorder
-Stavros, who suffers from ADHD
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To what extent were the goals of reconstruction regarding african-americans achieved by 1900?.
Answer: The goals were
ensure citizenship and civil liberties , Provide economic , and Provide education opportunities for former slaves
Explanation:civil right act in 1866
Read the underlined sentence. Who or what does roosevelt blame for making life insecure?.
Answer: B. Industrialization
Explanation:
Answer:
Correct to person on top
Explanation:
:)
I know you're somewhere out there
Somewhere far away
I want you back, I want you back
My neighbors think I'm crazy
But they don't understand
You're all I had, you're all I had
At night, when the stars light up my room
I sit by myself
Talking to the moon
Trying to get to you
In hopes you're on the other side talking to me too
Or am I a fool who sits alone talking to the moon?
Oh-oh
I'm feeling like I'm famous, the talk of the town
They say I've gone mad
Yeah, I've gone mad
But they don't know what I know
'Cause when the sun goes down, someone's talking back
Yeah, they're talking back, oh
At night, when the stars light up my room
I sit by myself
Talking to the moon
Trying to get to you
In hopes you're on the other side talking to me too
Or am I a fool who sits alone talking to the moon?
Ah-ah, ah-ah, ah-ah
Do you ever hear me calling?
(Ah-ah, ah-ah, ah-ah) oh-oh-oh, oh-oh-oh
'Cause every night, I'm talking to the moon
Still trying to get to you
In hopes you're on the other side talking to me too
Or am I a fool who sits alone talking to the moon?
Oh-oh
I know you're somewhere out there
Somewhere far away
Answer: The song is Talking to the Moon by Bruno Mars.
Answer:
D
Explanation:
what is the question?
In the interior of the earth can be classified as primordial and radiogenic heat brainly.
The Core is in the interior of the earth can be classified as primordial and radiogenic heat
In your answer sheet write the letter of the correct answer which is a polynomial function.
Answer:
link
Explanation:
https//Andrea//com. ph