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

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

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

The question is in the picture

Answers

Answer:

option 1

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

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

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

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 .

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

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


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.

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 :)

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

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:

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

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:

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

Answers

Answer:

m<PTQ=90

m<TSR=45

PT=9

THEY ARE REAL- PLEASE THEY AREN’T FAKE

Answers

PLLSSS OMGG IM CRYINGG THE LITTLE HATT

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

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

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:

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.

What will be the answer?​

Answers

Answer:

150 shld be the answer ... Option E

Step-by-step explanation:

MARK ME THE BRAINLIEST PLZZZZ

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.

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

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The correct answer is 3:1

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.

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

Which is greater.9 or 95%

Answers

kepçe

Step-by-step explanation:

kepçe kulak verin lütfen

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


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

Answers

m = -3 hope that helped

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

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

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