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.
Her nervousness had a profound.
Huh yes that would work out well I think it’s a great deal to get it done by the end of the
Klaus invested $8,000 in a savings account. If the interest rate is 3. 45%, how much will be in the account in 15 years by compounding continuously? round to the nearest cent.
Answer:13,422.62
Explanation:
A gardener bought 5 rabbits.
...
Thats really nice
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $6750 with a population standard deviation of $265. A sample of randomly selected 30 days reveals a daily mean revenue of $6280. If you were to test the null hypothesis that the daily mean revenue was $6750, which test would you use?.
Based on the given value of sample size and the population standard deviation, the required test for the null hypothesis is the Z test of population mean.
The Z test of population is used to test the null hypothesis of a Normal distribution. Since, the sample size is large (>30) and the variance of the population is known, the most appropriate test of hypothesis to use is the Z test of population mean.Learn more : https://brainly.com/question/25576166
A 400-kg box is lifted vertically upward with constant velocity by means of two cables pulling at 40. 0° on either side of the vertical direction. What is the tension in each cable?.
Answer:
2558 N.
Explanation:Each rope takes half, so the vertical component of the force on each rope is half of this, or 1960 N.. But they are pulling at a 40 degree angle, so if t is the tension then t*cos(40) = 1960. This gives t = 2558 N.
It is affected by the structure of the bones and muscles surrounding the joint.
Answer:
um... ok
Explanation:
Which of the following describes a consumer installment loan?.
Answer: hums 202 Which of the following describes a consumer installment loan? A. A loan you get based on the tax refund that you expect to receive. B. A loan that is repaid in equal monthly payments for a specific period of time, usually several years. C. A loan where you have to promise to give the bank your assets if you do not repay the loan. D. A loan for consumer goods where you own the item(s) at the end of the payment period.
Explanation: all you have to do is search up the answer to this on brainly
Hydrochloric acid (HCl) is combined with cesium hydroxide (CsOH) in a neutralization reaction. Which ions will combine to form a salt? Check all that apply. H H3O Cl- Cs OH-.
Answer:
Hydrochloric acid (HCl) is combined with cesium hydroxide (CsOH) in a neutralization reaction. Which ions will combine to form a salt? Check all that apply. H H3O Cl- Cs O
Explanation:
whatttttttttttttttttttt
Answer:
Its C and D, (CI- and Cs+)
Explanation:
During his party in chapter 3 which is an example of the gossip about gatsby.
Answer: During his party in chapter 3, one of the gossip about Gatsby is that he killed a man once
Explanation:
Answer:
that he attended oxford
Explanation:
Who intended to write an epic poem 12 books long? Question 3 options: Francis Drake Sir Walter Raleigh Edmund Spenser William Shakespeare.
Answer:
emund spencer
Explanation:
k12 test got it right have a great day xD
A global resources company uses data-intensive, cloud-based simulation software, but users in remote locations find that the responsiveness is poor due to the amount of data being transferred to and from the cloud. In response, the company decides to deploy multiple instances of the application in locations closer to the end users.
There are several advances in technology. The type of technology is illustrated in this example is called Edge computing.
Edge computing is known as a form of distributed computing that serves computation and data storage closer to data source.It is known as the act of holding, storing, processing and analyzing data near the client.
This form of computing draws closer the processing and storage of data to the equipment.
See full question below
A global resources company uses data-intensive, cloud-based simulation software, but users in remote locations find that the responsiveness is poor due to the amount of data being transferred to and from the cloud. In response, the company decides to deploy multiple instances of the application in locations closer to the end users.
which type of technology is illustrated in this example?
Learn more from
https://brainly.com/question/23858023
Which best describes an electron cloud.
Francis has the standard plan offered by his employer and is making an office visit to an in-network doctor to treat his flu-like symptoms. How much would francis be asked to pay by the office manager in the doctor's office?.
There are different kinds of healthcare plans. Francis will not pay (Option one) if he be asked to pay by the office manager in the doctor's office.
There is a standard of minimum coverage that is applicable to employment based health plans.
A health plan must meets the minimum required value standard if;
a. It was designed to pay at least 60% of the total cost of medical services for a standard population.
b. Does the employer offer a health plan that meets the minimum value standard.
Francis is already covered in his his standard plan and therefore will not be expected to pay the money. But in cases of only some percentage of the plan is covered, then the individual can cover the rest expenses.
See full question below
Francis has the Standard Plan offered by his employer and is making an Office Visit to an in-network
doctor to treat his flu-like symptoms. How much would Francis be asked to pay by the office manager in
the doctor’s office?
a. $0
b. $15
C. $25
d $40
Learn more from
https://brainly.com/question/22737817
Answer: C
Explanation:
The diagram shows 3 identical circles inside a rectangle.
Answer:
Explanation:
Diagram?
Diploid somatic cells of elephants have 56 chromosomes.
Answer: 29,29,27,27 :)
A hunter carries a firearm while climbing into and out of a tree stand. What is the proper way to get the firearm into and down from the stand?.
Considering the situation described above, the proper way to get the firearm into and down from the stand is to use the "haul line like strong rope, strap or commercially made line to carry the firearms."
This is because carrying firearms to climb a tree is dangerous. It is believed that the additional weight of the gun can lead to loss of balance, thereby making the hunter fall.
In some cases, following the hunter's fall, there may be an accidental discharge which may eventually injure or kill the hunter.
Also, when using a haul line to carry the firearms, the hunter still needs to follow certain precautions to avoid accidental discharge, such as unloading of weapons and turning the muzzle upside down.
Hence, in this case, it is concluded that the correct answer is "haul line like strong rope, strap or commercially made line to carry the firearms."
Learn more here: https://brainly.com/question/5559395
On january 1, 2019, a company issued $400,000 of 10-year, 12% bonds. The interest is payable semi-annually on june 30 and december 31. The issue price was $413,153 based on a 10% market interest rate. The effective-interest method of amortization is used. What is the book value (carrying value) of the bond liability as of june 30, 2019 (to the nearest dollar)?.
The book value of the bond liability is $409811
First of all we have to calculate the cash that was paid for interest
This interest is payable semiannually that is 6 months out of 12 months
6/12 = 0.5
The bond is 12% = 0.12
= 400000 * 0.12 * 0.5
= 24000 dollars
The interest =
413153 * 10% * 0.5
= 20658 dollars
The reduction = 24000-20658
= 3342 dollars
The carrying value after the first payment
= 413153-3342
= $409811
The book value of the bond liability is $409811
Read more on https://brainly.com/question/19863404?referrer=searchResults
As a result of mitosis, each of the two new cells produced from the parent cell during cytokinesis.
Answer and Explanation: As a result of mitosis, each of the two new cells produced from the original cell during cytokinesis have the same chromosomal constitution as the parental nucleus. Cytokinesis is the actual division of the cytoplasm that results in two daughter cells that are diploid. Mitosis is a type of division that occurs during growth in somatic cells through replication of chromosomes and their subsequent redistribution.
Look at the graph. A graph titled Yearly Average, Dow Jones Industrial Average. The x axis shows the years 1919 to 1929. The y axis shows the yearly average closing price, from 0 to 350. In 1919, it was at 100 and stayed relatively stable until 1925, when it began to rise dramatically, from 125 in 1925 to over 300 in 1929. During what years did consumerism cause the stock market to grow most? 1920–1921 1921–1924 1922–1925 1924–1929.
Answer It's D (1924 - 1929)
hope this helps :)
Explanation: edge 2023
9. ¿Qué quiere decir Yanez cuando
dice que es de cáscara amarga"?
Ayuda please
Es muy probable que Yañez se haya referido a una persona amargada, de temperamento difícil y ocasionalmente atravesado.
El vocablo "ser de la cáscara amarga" es un término despectivo para referirse a personas amargadas, de temperamento difícil y ocasionalmente atravesado, el cual ha sido el significado más difundido.
Históricamente, ha cambiado de sentido durante varios siglos, en el siglo XVIII se empleaba para referirse a personas pendencieras y traviesas, en el siglo XIX por conservadores para referirse despectivamente de liberales y socialistas y en el siglo XX por socialistas para denominar despectivamente a conservadores y reaccionarios.
En síntesis, es muy probable que Yañez se haya referido a una persona amargada, de temperamento difícil y ocasionalmente atravesado.
Invitamos cordialmente a ver esta pregunta sobre vocablos en español: https://brainly.com/question/20516535
To what extent do covalent compounds conduct electricity?.
Answer:
A covalent bond is formed between non metal atoms, which combine together by sharing electrons. Covalent compounds have no free electrons and no ions so they don't conduct electricity
Explanation:
Answer:
the answer is never
Explanation:
i did the test :)
Earth is slightly closer to the sun in december than it is in june. The force of gravity of the sun on earth in december compared to june is —.
The Earth is known as a spherical body. The force of gravity of the Sun on Earth in June compared to December is slightly smaller.
Earth is simply known to slightly closer to the Sun on one side of its orbit than on the other side.Kepler's second law states that as a planet moves round the Sun, it sweeps out equal areas in equal times.
All the planets do moves around the Sun in nearly the same plane. The Sun is found to be slightly off-center from the middle of each planet's orbit.
Learn more from
https://brainly.com/question/11727291
Which historical figure does old major most likely represent? tsar nicholas ii an imperial guard vladimir lenin joseph stalin.
Answer: old major is based on Karl Marx and partially Vladimir Lenin
Explanation:
The historical figure that old major most likely to represent is Vladimir Lenin. The correct option is C.
Who does old Major represent and why?The pig Snowball represents the intellectual revolutionary Leon Trotsky, while Old Major represents either Karl Marx or Vladimir Lenin.
Old Major represents Karl Marx and Vladimir Lenin, who promoted the Communist Party but died before their vision could be realized.
As a result, those who did not fully comprehend the dream were able to twist it to their advantage.
Old Major describes a dream he had the night before in which animals are free, happy, well fed, and treated with dignity in a world free of human tyranny.
He exhorts the animals to do everything possible to make this dream a reality, including overthrowing the humans who claim to be their owners.
Thus, the correct option is C.
For more details regarding old Major, visit:
https://brainly.com/question/28162252
#SPJ6
According to the table, what is the total distance the hiker walked? 4 km 6 km 10 km 20 km.
Answer: 20 km
Explanation:
6 + 4 + 6 + 4 = 20
How many differences can you spot candy house.
Answer:
There no image to reference lol. Can't help you
Explanation:
What is the connotative meaning of the underlined word in the excerpt? a lavish event a humiliating sight an unexpected happening an entertaining performance.
Answer:
B) A humiliating sight
Explanation:
took the test on edge
Answer:
B
Explanation:
The first person was right
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.
To learn more about American foreign policy, refer
https://brainly.com/question/18492325
#SPJ2
Hydrogen reacts with chlorine to form hydrogen chloride (HCl (g), Delta. Hf = –92. 3 kJ/mol) according to the reaction below. Upper H subscript 2 (g) plus upper C l subscript 2 (g) right arrow 2 upper H upper C l (g). Which statement is correct? Use Delta H r x n equals the sum of delta H f of all the products minus the sum of delta H f of all the reactants. The enthalpy of the reaction is –184. 6 kJ, and the reaction is exothermic. The enthalpy of the reaction is –184. 6 kJ, and the reaction is endothermic. The enthalpy of the reaction is 184. 6 kJ, and the reaction is endothermic. The enthalpy of the reaction is 184. 6 kJ, and the reaction is exothermic.
Answer:
a
Explanation:
aaa
The statement which is correct about the reaction of hydrogen with chlorine is used Delta H r x n equals the sum of delta H f of all the products minus the sum of delta H f of all the reactants. The correct option is A.
What is a chemical reaction?A chemical reaction is a transformation of one or more chemicals (the reactants) into one or more distinct compounds (the products). Chemical elements or chemical compounds make up substances.
When a chemical reaction occurs, the reactance responds by rupturing the bonds in the energy and forming new compounds. Breaking chemical bonds between reactant molecules (particles) and creating new bonds between atoms in product particles are two aspects of chemical reactions (molecules).
Therefore, the correct option is A, Use Delta H r x n equals the sum of delta H f of all the products minus the sum of delta H f of all the reactants.
To learn more about chemical reaction, refer to the link:
https://brainly.com/question/29762834
#SPJ5
how did the officer feel about himself
Answer:
how happy
Explanation:
Which of the following best describes the uses of private land?.
Private property is a legal designation for the ownership of property by non-governmental legal entities.Private property is distinguishable from public property, which is owned by a state entity, and from collective or cooperative property, which is owned by a group of non-governmental entities. The distinction between private and personal property varies depending on political philosophy, with socialist perspectives making a hard distinction between the two,while others blend the two together.[better source needed] As a legal concept, private property is defined and enforced by a country's political system.
