It looks like the integral is
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy[/tex]
Let's close the loop by adding a line integral over the line segment joining (1, 4) to (0, 0). Then the closed loop is the triangular region
T = {(x, y) : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 4x}
Since the integrand has no singularities over or on the boundary of T, we have by Green's theorem
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy = \iint_T \left(\frac{\partial(x^2y^3)}{\partial x} - \frac{\partial(xy)}{\partial y}\right) \, dx \, dy = \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx[/tex]
Compute the double integral:
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 \int_0^{4x} \left(128x^5 - 4x^2\right) \, dx = \frac{60}3[/tex]
From this result, we subtract the line integral over the extra line segment we added. Parameterize this path by
C' : {(1 - t, 4 - 4t) : 0 ≤ t ≤ 1}
The line integral over C' is
[tex]\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 (1-t)(4-4t)(-dt) + (1-t)^2(4-4t)^3(-4\,dt)[/tex]
[tex]\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 \left(256 t^5-1280 t^4+2560 t^3-2564 t^2+1288 t-260 \right) \, dt = -44[/tex]
so that the line integral over C alone is 60/3 - (-44) = 64.
Which sentence best concludes the paragraph? It is important to understand historical causes as the English language continues to develop. Many people wonder why international communication is so difficult. I can’t wait to see how the English language develops in the future.
Answer: ( Answer A) It is important to understand historical causes as the English language continues to develop
Explanation: because I just took the assignment
The sentence that best concludes the paragraph is that it is important to understand historical causes as the English language continues to develop. Thus, the correct option for this question is A.
What do you mean by Paragraph?A Paragraph may be defined as a collection of sentences that significantly represents some thoughts and ideas to the reader or audience. It is a brief piece of writing that all relate closely to the topic sentence.
According to the context of this question, it is consequential in order to understand the causes and influence of the English language which continues to develop till now. It is the significance of the English language.
Therefore, it is important to understand historical causes as the English language continues to develop is the sentence that best concludes the paragraph. Thus, the correct option for this question is A.
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How many grams of iron (density = 7. 87 g/ml ) would occupy the same volume as 96. 4 g of aluminum (density = 2. 70 g/ml)?.
Explanation:
density = mass / volume
96.4 g of aluminum / volume = 2.7
therefore,
96.4 = 2.7 × volume
volume = 96.4 / 2.7 = 35.7037037... ml
back to iron :
7.87 = mass / 35.7037037...
mass = 7.87 × 35.7037037... = 280.9881481... g
it would be 280.9881481... g of iron in the same volume.
What does the author’s first use of the key term illusion suggest about American foreign policy? The United States causes many problems. The United States could not remain separate. The promotion of democracy is a false policy. It is unsafe for one country to have too much power.
Answer: United States could not remain separate.
Explanation: cause i be smart
The author’s first use of the key term illusion suggest about American foreign policy is The United States could not remain separate.
The 'illusion of isolation' means that America tried to pretend to be an isolationist continent, meaning that it would have nothing to do with the politics of other countries, however, that turned out to be a lie, especially when it openly entered WWII.
What are the three main goals of American foreign policy?Security, prosperity, and the creation of a better world are the three most prominent goals of American foreign policy.
Security, the protection of America's interests and citizens, is a perennial concern, but America has tried to achieve security in different ways throughout its long history.
What are the 4 main goals of America's foreign policy?The four main objectives of U.S. foreign policy are the protection of the United States and its citizens and allies, the assurance of continuing access to international resources and markets, the preservation of a balance of power in the world, and the protection of human rights and democracy.
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The weight of a cart with a mass of 150 kg is how many newtons.
Answer:
1500 N
Explanation:
Weight = mg = 150 kg * 10 m/s^2
Weight = 1500 N
Beth is listening to her friend melissa talk about a recent break-up. Beth wants to give an appropriate listening response to convey to melissa that she there for her friend and shares her point of view. Beth’s best listening response would be which of the following?.
Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.
In communication, listening is very key which follows with a feedback to ensure what is being communicated is rightly decoded by the receiver of a message.
For feedbacks, many types of responses can be given. One of which is giving a listening response.
Types of listening responses include:
EmpathizingQuestioningParaphrasingEvaluatingSilent listeningEmpathizingSupporting.Supporting is a type of listening response whereby the listener shows solidarity with the speaker in a way that reflects the feelings about the speaker.
Therefore, Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.Learn more about listening responses on:
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Which substances are necessary for the synthesis of most materials in an organism.
Enzymes
Explanation:
are substances necessary for the synthesis of most materials in an organism.
I hope this is an option???
The answer is mashed potatoes.
Answer: what did he sayyy
Explanation:
1) What is The Full form Of WWW ?
2)What Is The full form of 3 Cs ?
2nd question is little confused .
plz Don't Spam .
WWW is an abbreviation for World Wide Web ...
Corporation, Customer, Competitors (3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.
Answer:
• Full form of WWW :- World Wide Web WWW is an abbreviation for World Wide Web and it is commonly called the WEB. It is a system that is used to store documents and is accessed using URL(Uniform Resource Locator) which are accessible through Internet .• The full form of 3 Cs :- Corporation, Customer, Competitors (3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.Explanation:
Hope this helps you !!Which sentences include a proper mla parenthetical citation? check all that apply.
Considering the available options, the sentences that include a proper MLA parenthetical citation include "Mahoney states that "the needs of speakers drive language change" (nsf.gov)."
What is MLA parenthetical citation?MLA parenthetical citation is the citation method that utilizes the author's last name, the page number, or other relevant source information in parentheses from sentences used.
Other sentences that include a proper MLA parenthetical citation include the following:Johnson claims that the English language began to deviate from its Germanic origins (4).In the eighteenth century, English was "departing from its original Teutonic character"(Johnson 4).Hence, in this case, it is concluded that the correct answer is options A, E, and F.
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Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his options for learning this trade? select all that apply.
To be a licensed electrician requires deep knowledge of the field. Rami's options for learning this trade are;
He should applied degree at a two year college or He can study for a bachelor's degree at a four year collegeApprenticeship and trade schoolA licensed electrician job is not easy to obtain. It requires studying, years of being an apprentice or attending school, and years of work experience.
To be a licensed electrician, these steps should be followed:
Earn a high school diploma or Its equivalent. Try and attend a trade or vocational-technical school. Sign up as an electrician apprentice. Get licensed or certified.See full question blow
Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his option learning this trade? Select all that apply.
applied degree at a two year college bachelor's degree at a four year college vocational training in the military apprenticeship and trade school going directly into the workplaceLearn more from
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Answer: 1) applied degree at a two year college
3) Vocational training in the military
4) apprenticeship and trade school
Explanation: did on edge :)
What is an example of new technology having a positive impact on sustainability brainly.
Examples of sustainable technology include:
Electric transportation. LED light technology. Solar power.Sustainable technology is a form of technology that have a positive social, economic or environmental impact. Sustainable technologies are innovations with positive impacts with the aim of reducing the negative impact humanity have created on earth.
Examples of sustainable technology include:
Electric transportation. LED light technology. Solar power.Find out more at: https://brainly.com/question/2991944
Multiple-choice questions on advanced placement exams have five options: a, b, c, d, and e. A random sample of the correct choice on multiple-choice questions on a variety of ap exams1 shows that b was the most common correct choice, with of the questions having b as the answer. Does this provide evidence that b is more likely to be the correct choice than would be expected if all five options were equally likely? show all details of the test. The data are available in apmultiplechoice.
Answer:
the answer would be a
Explanation:
What does sentir mean in English? to feel to kill to order to drink.
Answer:
All 5 answers
1. A to feel
2. C contenta
3. D seguro
4. B missing practice
5. C malteada de chocolate
Explanation:
Sentir mean in English is To feel
What type of verb is sentir?Sentir is an irregular -ir verb.
What's the difference between sentir and Sentirse?To choose one of sentir or sentirse, you can think of this simple model to help explain the difference: Sentir – describes 'what' you feel. Sentirse – describes 'how' you feel. In other words, we generally use sentir with nouns (joy, happiness, heat) and sentirse with adjectives or adverbs (happy, tired, excited).
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A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of the balloon to be 75. 8° and 15. 6°. What is the length of the island to the nearest tenth of a mile?.
Answer: Distance to close end of island is 3000/tan(75.8); distance to far end is 3000/tan(15.6). The difference is 9985.676 feet or about 1.9 miles.
Explanation: 2 explanation Balloon, flying or levitating, has no front to recon with, so two possible answers.
tan(90–15.6)+or-tan(90–75.08) * 3000= length of island
So just don't get overwhelmed and you'll make it out.
In casabianca the boy's defining character trait is his (points 5).
The character trait that defines the boy in Casabianca is: his loyalty.
Casabianca is the name of the young boy who is one of the major character sin "Casabianca".
In Casabianca, the boy, out of loyalty and having a strong sense of duty, had to put up bravery to remain at his post on a French ship that caught fire during the attack of the British.
In spite of the obvious dangers, he remained at his post while waiting for orders from the captain (his dad).
Therefore, the character trait that defines the boy in Casabianca is: his loyalty.
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What is "four times the sum of x and y" in a mathematical phrase?.
Answer:
4(x + y)
Explanation:
Have a nice day
Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Encontrando y resolviendo un sistema de ecuaciones, veremos que hay 9 camionetas y 3 autos.
Sabemos que hay 12 vehículos en el camión.
Definamos:
a = número de autosc = número de camionetas.tal que a + c = 12
La masa total será:
a*2 ton + c*3 ton
Y sabemos que el camión lleva 33 toneladas, entonces tenemos:
a*2 ton + c*3 ton = 33 ton
Así encontramos el sistema de ecuaciones:
a + c = 12
a*2 ton + c*3 ton = 33 ton
Para resolverlo, primero aislamos una de las variables en una de las ecuaciones, aislemos a en la primera:
a = 12 - c
Ahora reemplazamos esto en la otra:
(12 - c)*2 ton + c*3 ton = 33 ton
24 ton + c*1 ton = 33 ton
c*1 ton = 9 ton.
c = 9
Es decir, hay 9 camionetas.
Entonces los 3 vehículos restantes son autos.
Hay 9 camionetas y 3 autos.
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In the poem "War Is Kind," which best describes the effect of the repetition of the lines "Do not weep. War is kind"? These lines illustrate the fact that people react very differently to suffering. These lines suggest that people who suffer from war are overreacting. These lines highlight the idea that war is not as brutal as people think. These lines emphasize the harshness of the scenes the speaker describes.
There are different kinds of poem. In the poem "War Is Kind," the best description of the effect of the repetition of the lines is that the lines emphasize the harshness of the scenes the speaker describes.
The line of the poem talks able the cruelty of war and how its effect on the people.War is not a pleasant situation. Stephen Crane in his poem calls war "kind". This is because he laugh at the idea that young men often believe that going to war is noble and dying for one's country is an heroic act.
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Answer:
These lines emphasize the harshness of the scenes the speaker describes.
Explanation:
D on edge!
Tim drives at an average speed of 80km.
Answer:
and? I dont know Tim.
Explanation:
Which comparison between events in the passage would best support a claim that a significant theme of the passage is fulfillment?.
The comparison that illustrates the theme is Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
The theme of a story simply means the central idea that's conveyed in a story. It illustrates what the author wants the readers to know in the story.
The comparison between events in the passage support a claim that a significant theme of the passage is fulfillment. This was illustrated as Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
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A story with multiple narrators will usually have a(n) ____________ plot.
Answer:
nonlinear
Explanation:
It has become increasingly popular in young adult novels to have
multiple narrators. Often, this is done through alternating
chapters. One chapter is told from one perspective, while the
next chapter is told from another. This can be done with either
first person or third person limited.
Multiple Narrators
This will likely mean that the plot is nonlinear in such a novel. The
reader will jump from one character and event to another (and
sometimes even see the same event twice, but from different
perspectives).
This is also sometimes called "alternating point of view".
Stories could either have a single or multiple narrator(s). Hence, stories having multiple narrators would usually have a non-linear plot.
Multiple narrators in a story means that characters in the story are numerous, hence, acts and scenes would have to be passed on to these characters from time to time. As for single narrator, this is not the case as the number of actors are very limited.Hence, because multiple narrators often hinders a story to be chronologically ordered, then it would result in a non-linear plot.
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Points b c and d lie on a straight line.
Answer:
Explanation:
continuation?
What in the cinderella story suggests its origin, according to the author? why is her theory uncertain?.
Cinderalla is a very popular story. The suggestion of its origin, according to the author is that its origin could have been originated in Orient.
The theory is uncertain because Cinderella, as it is widely known among boys and girls, as a fairy tale, it has about 345 documented variants and many more versions that were not documented or recorded.
This can be referred too as inconsistency in its recording. The fact that Cinderella had small feet, was of some importance in the Orient that is ancient times.
Cinderella, The Legend is known too be of Protestant ethic as the moral principle in this fairy tale is that good fortune can be an advantage.
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A study was designed to investigate the effects of two variables--(1) a student’s level of mathematical anxiety and (2) teaching method--on a student’s achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 450 with a standard deviation of 30 on a standardized test. The test scores follow a normal distribution.
Using the Empirical Rule, it is found that approximately 68% of the students would score between 420 and 480.
The Empirical Rule states that for a normal variable:
68% of the measures are within 1 standard deviation of the mean.95% are within 2.99.7% are within 3.In this problem, the mean is of 450 while the standard deviation is of 30.
450 - 30 = 420
450 + 30 = 480
Hence, approximately 68% of the students would score between 420 and 480.
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Which law would you use to simplify the expression mc006-1. Jpg? quotient of powers power of a quotient product of powers power of a product.
Answer:
Law of transparency
Explanation:
The law that will be used in simplifying the option is a3¹⁰/3⁴ is the quotient of powers. The correct option is a.
What is the quotient of powers?According to the Quotient of Powers Property, exponents are subtracted from powers when they are divided by the same base, provided the base is not equal to 0. Using variables, nanb=n(ab) n a n b = n (a b) is defined.
It is quicker and simpler to subtract the bases than to write down the multiplications and cancel. The denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator, is how the Quotient Rule defines the derivative of a quotient.
[tex]\dfrac{x^a}{x^b} = x^{( a - b)}[/tex]
[tex]\dfrac{3^{10}}{3^4} = 3 ^ {( 10 - 4)}\\\\\dfrac{3^{10}}{3^4} = 3^6[/tex]
Therefore, the correct option is a, the quotient of powers.
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The question is incomplete. Your most probably complete question is given below:
The equation is:
3^10/3^4
Excessive smoking, substance abuse, and sleep disorders are all examples of ________ symptoms of stress.
Excessive smoking, substance abuse, and sleep disorders are considered to be behavioral symptoms of stress.
It should be noted that behavior-related stress symptoms include absence and turnover, changes in productivity, changes in eating habits, increased consumption of alcohol, and smoking.
In a case where an individual who doesn't usually drink alcohol or smokes before starts drinking alcohol, it's known as behavioral symptoms of stress. In such a situation, stress leads to a change of behavior.
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Which detective seems to have more clues about solving the case? bolsa sancho.
Answer:
Sancho
Explanation:
Took the test
Answer:
1 True 2 False 3a parrot 4while he was hiding out 5 Sancho
Explanation:
took the test got a 100
4 t-shirts and a hat costs £31. 00 2 t-shirts and a hat costs £17. 0. How much does a t-shirt cost? how much does a hat cost?.
Answer:
T-Shirt Cost = £7
Hat Cost = £3
Explanation:
Important Information:
4 t-shirts and a hat costs £31.00
2 t-shirts and a hat costs £17.00.
Here we assume t-shirt be x and hat be y.
Explanation/Solution:
Based on the above information, the calculation is as follows:
4x + y = 31
2x + y = 17
Now subtract equation 2 from 1
2x = 14
x = 7
So y is
4(7) + y = 31
28 + y = 31
y = 3
Therefore we can conclude that The t-shirt cost £7 and Hat cost £3.
A taxi service charges a flat fee of $1. 25 and $0. 75 per mile. If Henri has $14. 00, which of the following shows the number of miles he can afford to ride in the taxi? m less-than-or-equal-to 17 m greater-than-or-equal-to 17 m less-than-or-equal-to 20. 3 m greater-than-or-equal-to 20. 3.
Answer:
Its less than or equal to 17
Explanation:
