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).

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Related Questions


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Answers

m = -3 hope that helped

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FY/FL
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Answers

Answer:

tan = opposite/adjacent

tan 40 = LY/FY

Step-by-step explanation:

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(-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

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

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I hope this helped you :)

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?


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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

here is it your

Was it helpful?

comment down

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Answers

Answer:

150 shld be the answer ... Option E

Step-by-step explanation:

MARK ME THE BRAINLIEST PLZZZZ

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:

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

Which of the following is a polynomial?
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Answers

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

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

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Answers

15(h) + 12

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//

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bo
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Answers

Step-by-step explanation:

b = 42

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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

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Answers

Step-by-step explanation:

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Answers

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

Find to scale between the two widths:

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8 x 2 = 16

The length would be 16

Answer:

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Answers

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Custo do calçado quando comprado à vista :

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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?

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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.

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Answers

Answer:

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

Step-by-step explanation:

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Answers

Answer:

700 feet per hour is the rate of descent

Step-by-step explanation:

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Answers

kepçe

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Answers

Answer:

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Answers

Answer:

m=42/0.7

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Step-by-step explanation:

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.

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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)

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option 1

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Answer:

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Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
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Answers

Answer:

I think Giant.

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Answers

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Step-by-step explanation:

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Answers

Answer:

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