Evaluate the integral I = integral integral A xe3xy dxdy over the rectangle A = {(x, y): 0

Answers

Answer 1

The value of the integral is (2/9)(e^6 - 1).

We can evaluate the integral I using integration by parts. Let's write the integrand as u dv, where u = x and dv = e^(3xy) dx. Then, we have du/dy = 0 and v = (1/3y) e^(3xy).

Using the formula for integration by parts, we get:

∫∫A xe^(3xy) dxdy = [uv]_0^2 - ∫∫A v du/dy dxdy

Plugging in the values for u, v, and their derivatives, we have:

∫∫A xe^(3xy) dxdy = [(1/3y)e^(6y) - 0] - ∫∫A (1/3y)e^(3xy) dxdy

To evaluate the remaining integral, we integrate with respect to x first, treating y as a constant:

∫∫A (1/3y)e^(3xy) dxdy = [1/(9y^2) e^(3xy)]_0^2y

Plugging in the values for x, we get:

∫∫A (1/3y)e^(3xy) dxdy = [1/(9y^2) (e^(6y) - 1)] = (1/9) (e^6 - 1)

Therefore, we have:

∫∫A xe^(3xy) dxdy = (1/3y)e^(6y) - (1/9) (e^6 - 1)

Plugging in the values for y, we get:

∫∫A xe^(3xy) dxdy = (1/3)(e^6 - 1) - (1/9)(e^6 - 1) = (2/9)(e^6 - 1)

So the value of the integral is (2/9)(e^6 - 1).

Learn more about integral here:

https://brainly.com/question/18125359

#SPJ11


Related Questions

The naturalist found 9 bright blue poisonous frogs in South America. Each frog weighed 3 grams. In all, how much did the 9 frogs weigh? A) 39 grams in all B) 27 grams in all C) 12 grams in all D) 36 grams in all

Answers

Answer: B) 27 grams in all

Step-by-step explanation:

Given: The weight of each bright blue poisonous frog = 3 grams

By using the multiplication operator (x)

Then, the weight of 9 such frogs  = 9 x (Weight of each frog)

⇒ The weight of  9 frogs  = 9 x 3 grams

⇒ The weight of  9 frogs  = 7 grams

Therefore, the correct option is B) 27 grams in all

Spiral Review. Find the value of the expression below

9 + 4³ x (20 - 8) ÷ 2 + 6

WRONG ANSWERS REPORTED

Answers

Answer:

399

Step-by-step explanation:

9+4^3*(20-8)/2+6

9+(4)(4)(4)(12)/2+6

9+64(12)/2+6

9+768/2+6

15+768/2

15+384

399

What will be the answer?​

Answers

Answer:

150 shld be the answer ... Option E

Step-by-step explanation:

MARK ME THE BRAINLIEST PLZZZZ

Which expression is a factor of 36x2−9?


6x−9


18x−9


6x−3


18x−3

Answers

Answer:

C

Step-by-step explanation:

Comment

This is called the difference of squares. Both sides of the minus sigh must be perfect squares or able to be factored in such a way that you are left with perfect squares.  36x^2 is a perfect square. If you take its square root, you get √36x^2 or 6x. That makes B and D incorrect. So what about A and C?

A:The left side of 36x^2 is correct, but the right side is not. The left side of 36x^2 has a square root of 6x.

The right side has been left alone and it shouldn't be.

The 9 is a perfect square. Its square root is 3. That makes C the answer.

given angle FLY what is tan40?
FL/LY
LY/FL
FY/FL
LY/FY
FY/LY
FL/LY

Answers

Answer:

tan = opposite/adjacent

tan 40 = LY/FY

Step-by-step explanation:

Which is greater.9 or 95%

Answers

kepçe

Step-by-step explanation:

kepçe kulak verin lütfen

Two lines intersect. Find the value of b.
bo
42°



Answers

Step-by-step explanation:

b = 42

c = 138

plz mark my answer as brainlist plzzzz if you find it useful .

um sapato é vendido a r$ 180,00. se a compra for a vista a loja oferece um desconto de 10%. qual o valordo sapato na compra a vista?​

Answers

Preço de um sapato = $ 180,00

Desconto concedido se o sapato for comprado em dinheiro = 10%

Custo do calçado quando comprado à vista :

[tex] =\tt 180 - 10\% \: \: de \: \: 180[/tex]

[tex] = \tt180 - \frac{10}{100} \times 180[/tex]

[tex] =\tt180 - \frac{10 \times 180}{100} [/tex]

[tex] = \tt180 - \frac{1800}{100} [/tex]

[tex] =\tt 180 - 18[/tex]

[tex]\color{plum} =\tt\$162.00[/tex]

▪︎Assim, preço do sapato quando comprado em dinheiro = $ 162,00

Which of the following is a polynomial?
A. X^4+ x^-4+ 16
B. 1/2+ 2
C. x2-1
D. (x^6- 2)
(x^4 +3)

Answers

A. Because an expression with one or more terms is called a polynomial

THEY ARE REAL- PLEASE THEY AREN’T FAKE

Answers

PLLSSS OMGG IM CRYINGG THE LITTLE HATT

Find the length of a photograph whose width is 10 inches and whole proportions are the same as a 5-inch by 8-inch photograph.

Answers

5 inch is the width, 8 inch is the length.

Find to scale between the two widths:

10 /5 = 2 the larger photo is 2 times larger,

Multiply the known length by 2:

8 x 2 = 16

The length would be 16

Answer:

length = 4

Step-by-step explanation:

if the width of 10 is the same as a 5 by 8 photographer u can set up a proportion.

10/5 = x/8


[tex]y = - 3x + 12[/tex]
what is the slope?​

Answers

m = -3 hope that helped

Would it be a b c or s please answer fast

Answers

Answer:

Step-by-step explanation:

it is your first choice

-4.4+3.6[tex]\geq[/tex]1.6x

-0.5[tex]\geq[/tex]x

Please help if you want BRIANLEIST!!!! :)) TY!!!

Answers

Answer: The correct answer is 5/4

Step-by-step explanation: can get the brainliest answer thanks.

5 minutes left!!! HELP!!!

The candy store is having a 30% off sale. Emma is going to buy $12.50 worth of candy. How much will she pay after the discount?

Answers

She will pay 8.75


Step-by-step explanation

180:60 in its simplest form

Answers

Step-by-step explanation:

here is it your

Was it helpful?

comment down

If there is any kind of suspicious mistake

then sorry

The correct answer is 3:1

Maria is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $121 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven. For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer:

m=42/0.7

m=60 miles they will be costing the same

Step-by-step explanation:

what does -2x + 9 look like on a graph?

Answers

Answer:

The line of the graph will be going down 2/1 and will pass through the y intercept at 9.

Step-by-step explanation:

Hope this helps a little.

Answer:

this

Step-by-step explanation:

use desmos if u need more help

3
5
7
9
у
6
12
18
24

Answers

Step-by-step explanation:

3 to the 5 must add 2 so to find answers 'y' we must add 2 at 9 so answers is 11

m + 1 = 8

But what’s the m=__

Answers

Answer:m= 7.

Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7

Answer: m = 7

Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.

In this problem, since 1 is being added to m, in order to get m

by itself, we must subtract 1 from the left side of the equation.

If we subtract 1 from the left side of the equation, remember that

we must also subtract 1 from the right side of the equation.

So on the left, +1 and -1 cancel each other out

and on the right, 8 - 1 simplifies to 7.

So m = 7.

zola earned $30 by working two hours and receiving a $12 bonus. what expression matches that expression?

Answers

15(h) + 12

h = hours worked

//

15(2) + 12

hi can you please tell me what the answers are?​

Answers

Answer:

m<PTQ=90

m<TSR=45

PT=9

Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?


Write multiplication and division equations to model and solve the problem. Use m for the unknown

Answers

Answer:

Step-by-step explanation:

m=16/4 this one is division

16=  4*m   multiplacation

If a submarine descends to the ocean floor which is 2,100 feet below sea level in 3 hours, what is the rate of descent?

Answers

Answer:

700 feet per hour is the rate of descent

Step-by-step explanation:

3 hours is 2100 so 2100/3 is 700 which is per hour

The question is in the picture

Answers

Answer:

option 1

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,1), m= 7

Answers

Answer:

y=7x+22

Step-by-step explanation:

the equation of a line is y=mx+b

we know that 7 is m so

y=7x+b

but we got to find b

so we use the point (-3,1) and substitute in our equation

1=7(-3)+b

lets find b

1= -21+b

22=b

okay then we found b now lets go to our original problem and substitute b

y=7x+22

I hope this helped you :)

11 ounces of tomato soup has 70 calories. How many calories are in 22
ounces of soup? *

Answers

Answer:

140 ounces

Step-by-step explanation:

We use ratio and proportion.

[tex]\frac{11}{22} =\frac{70}{x}[/tex]

Cross multiply, and you get:

11x = 1,540

Divide both sides by 11. Thus:

140 ounces.

Answer:

140

Step-by-step explanation:

70/11 = 6.363636364

6.363636364 * 22 = 140

I really really need help fast please

Answers

Answer:

-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)

Step-by-step explanation:

square root of 72 = 8.48528137 or 8.5 (rounding to tenths)

square root of 2 = 1.41421356 or 1.4

square root of 128 = 11.3137085 or 11.3


Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?
Enter your answer

Answers

Answer:

I think Giant.

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 1.1% per hour. How many hours does it take for the size of the sample to double?

Answers

Answer:

2.2 i thinkkk

Step-by-step explanation:

Other Questions
To set up scenarios, you need to first use ______ to set up a list, then ______ to set up the reference cell. Last you need to use ______ to set up the cells that display the output results from the scenario. Advances in Epidural Spinal Cord Stimulation to Restore Function after Spinal Cord Injury: History and Systematic Review. The citizens of a state may only register to vote after proving to have submitted their census survey. Brahms is often described as a(n) _____ because of his use of forms of the classical masters. Why did the framers of the constitution create a presidency with very few explicit powers? How many non-square numbers lie between the 215to the power of 2 and 216 to the power of 2 The compound inequality 8.00 x < 9.50 represents all values, x, for which college students are paid hourly as teacher assistants. What is another way of writing this compound inequality?x 8.00 and x < 9.50x 8.00 or x < 9.50x 8.00 and x < 9.50x 8.00 or x < 9.50 With a _______ lifestyle, people select products and services that fulfill their diverse needs and interests, rather than conforming to traditional stereotypes. Please help me with my homework:) A body and tackle with a velocity ratio of 5 is used to raise a mass of 50kg through a vertical distance of 20n at a steady rate if the effort is equal to 80n. Determine (a) distance moved by effort (b)the workdone by the effort in lifting the load (c)the losses in energy involve the operating in machine What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches? Why was the slaving system economically damaging for middle-class british industrialists and business owners? Claim and evidence: What would happen to the effectiveness of an original vaccination if a mutation in the virus caused the protein spike to change ? Make a claim that answers the question, then support that claim with evidence. What did you learn about mutations that would support your claim ? Answer________________________________________________________________________________________________ 4 Explain the challenges and opportunities of water resource uses of Ethiopia? You are a podcaster for NPR (National Public Radio) and have been asked to lead a six-part series of podcasts on music of the past, broken into episodes on each of the commonly accepted eras of Medieval, Renaissance, Baroque, Classical, Romantic, 20th Century (one episode per era). When manufacturing overhead costs are assigned to production in a process cost system, they are debited to. whats ten times ten Which of the following sentences usesthe semicolon correctly?A. The main character borrows a diamond necklace toappear richer; and truly is not.B. Some people are never satisfied with their position inlife; and they can never be content.C. Maupassant uses irony; and he also uses imagery.D. Maupassant suggests appearances can be deceiving;nothing is quite what it seems from the outside. Which toy would be developmentally appropriate for a 3 year old child and help foster creativity? An object weighs 32 newtons. What is its mass if a gravitometer indicates that g = 8.25 m/sec2?