Calculate the integral of ze2x + y over the surface of the box in the figure below.
0<= x <= 2
0<= y <= 3
_____________

Answers

Answer 1

We will use the triple integral in cylindrical coordinates to calculate the integral across the surface of the box in the illustration.

The integral is given by:

[tex]∫∫∫ {ze}^{2x} + y dzdydx[/tex]

Where x, y, and z are the coordinates and the limits of integration are

[tex]0 <= x <= 2, 0 <= y <= 3, and 0 <= z <= {ze}^{2x} + y[/tex]

We can change the integral into cylindrical coordinates by using the following change of variables:

x = rcosθ

y = rsinθ

z = z

The integral becomes:

[tex]∫(0 to 2)∫(0 to 3)∫(0 to ze^(2r cosθ) + r sinθ) rze^(2r cosθ) + r^2sinθ dzdrdθ[/tex]

Although the integral is challenging to calculate, this method will assess it. The region of integration can be determined by knowing the bounds of z, which would be beneficial given that the box is in rectangular coordinates.

To learn more about integral: https://brainly.com/question/27419605

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Related Questions

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

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Answer:

14

Step-by-step explanation:

Answer is y =14/1 y=14x

What is the distance between point (-2,2) (4,4)

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Answer:

6 and 2 thats the distance in between

Step-by-step explanation:

$1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?

Answers

Answer: About 3,811 US dollars.

Step-by-step explanation:

Divide 25,000 with 6.56. That equals about 3,811 US dollars.

hope this helps :)

Can someone please help me on these four problems. The photo is linked above

Answers

1. SSS
2. SAS
4.SAS
i have no idea what 3 is

Answer:

Answer:

1. SSS

2. SAS, SSA

3. SAA

4. SAS, SSA

5. ASA

6. SAS

Thats all 6

Elizabeth invested $67,000 in an account paying an interest rate of 4 %
compdunded annually. Aiden invested $67,000 in an account paying an interest rate
of 4 % compounded daily. After 6 years, how much more money would Elizabeth
have in her account than Aiden, to the nearest dollar?
o

Answers

Answer: $2066

Step-by-step explanation:

There were 382 chairs in the music hall.Write a number greater than 382.

Answers

Answer:

383

Step-by-step explanation:

If country A has 161,500 million more computers than country B and the total number of computers for both countries is 321,050 million, find the number of commuters for each country.
Country A has _ million computers and country B has _ million computers.

Answers

Answer:

b has 79,775 million

a has 241,275 million

Step-by-step explanation:

a has more than b

b+161,500 is a

b=b

b+b+161,500=321,050

2b=321,050-161,500

2b=159,550

b=159,550/2

b=79,775

a=b+161,500

a=79,775+161,500

a=241,275

a church choir in mogase has 77 members and they need minibuses and minibuses only carry 18 members how many minibuses are needed ?​

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 buses

Step-by-step explanation:

77 divided by 18 is 4.2 so the people need 5 buses to fit means 4 full buses and 1/5 of 5th bus is used

expand 3(n+6)
This for the test

Answers

Step-by-step explanation:

expanded = 3n + 18

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

Fill in the blanks in the double number-line below.

Answers

Answer:

1     2     3     4     5     6     7

8    16   24  32   40   48   56

Step-by-step explanation:

Hope this helps :)

24 28 52 hope it helps:)

Help me on question 5!!! Plsss

Answers

Answer:

The answer is C

Step-by-step explanation:

use an open circle for "less than" or "greater than"and a closed circle for "less than or equal to" or "greater than or equal to".

A local hamburger shop sold a combined total of 718 hamburgers and cheeseburgers on Wednesday. There were 68 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?

Answers

Answer:

i believe its 650 hamburgers

Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98

Answers

Answer:

A

Step-by-step explanation:

sin 82 I think but i just try

2. The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds co
be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?
[2.5
CURRENCY URANG​

Answers

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

Sophia wants a video game. The one she wants costs $38. Sophia has saved $43 toward the video game. How much can Sophia spend and still afford the video game?

Answers

Answer:

She can spend $38 and have $5 left.

Step-by-step explanation:

$43 - $38 = $5. Therefore, she can afford the video game and have $5 left.

Answer:

$5

Step-by-step explanation:

Subtract 48 by 38

48 -  38

You are doing this because after you subtract the game cost from what she has at the moment she will have $5 so she can spend $5 and still get the video game.


solve
y+ 5- y + 4 = ​

Answers

Answer:

9

Step-by-step explanation:

its 9 lol

Answer:

9

Step-by-step explanation:

Solve:

y-y= 0y or 0

5+4= 9

Hope this helps!

Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:

a.
1923.24

b.
1816.93

c.
1500

d.
1485

Answers

Answer:

c.

1500

Step-by-step explanation:

The computation of the total amount of interest in first month is shown below:

Interest for first month is

= Mortgage amount × interest rate ÷ total number of months in a year

= $300,000 × 6% ÷ 12  

= $1,500

Hence, the interest in the first month is $1,500

Therefore the c option is correct

Four times the sum of a number n plus 2 equals 3 times the sum of the number plus 5. What is n?

Equation:

n=

Answers

Answer:

nweoksowjxu928idvdiwd9w

4 (n + 2) = 3 (n + 5)
4n + 8 = 3n + 15
4n = 3n + 7
n = 7
Let’s check your answer...
4 (7+2) = 3 (7+5)
4x9 = 3x12
36 = 36
We have a winner!

please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?

Answers

Answer:

(1)

Step-by-step explanation:

We will try:

(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)

(2) y = 4x => 2 = 32 (nope)

(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)

(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)

A savings account earns 4% annual simple interest. The principal is $1,100. What is the balance after 5 years?

Answers

Answer:

$220

Step-by-step explanation:

4% of 1100=$44

$44 × 5 years=$220

Factor Method Lcm 20,25,30​

Answers

Answer:

The least common denominator for those three numbers would be 5.

Step-by-step explanation:

5x4=20

5x5=25

5x6=30

Ayuden con la ecuación
[tex] \times + 15 = 51[/tex]

Answers

X=36 that’s what it gave to me
The answer is:


X= 36

What product is less than 99

Answers

Answer:

1

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Round 30.425 to the nearest tenth.

Answers

Answer:

30.4

Step-by-step explanation:

30.425 rounded to the nearest tenth will be 30.4

When rounding to the nearest tenth, we have to see if the hundredths place and thousands place are 0.050 or greater.

If they are, then the tenths place will round up.

In this case, it is only 0.025, so we will keep the tenths place of 30.4

So, the answer is 30.4

Circle the fraction greater than 3/10?

1/3

3/11

4/15

Or 29/100​

Answers

Answer:

1/3 is the only fraction here that is greater than 3/10.

Step-by-step explanation:

Convert these to decimals first, which can make it easier.

1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.

3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.

4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.

29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.

So the answer is 1/3.

what is the variable in this expression 5x2+x+7?

Answers

Answer:

x

Step-by-step explanation:

1. 25% of 300
2. 20% of what number is 50?
3. What percent of 120 is 40?
4. If 20% of 60 is 12. Which represent the percentage?
5. Which represent the base?​

Answers

Answer:

rawrrrrrr

Step-by-step explanation:

rawrrrrrrrrrrrrrrrr

1. 75
2. 250
3. 33.33
4. 20% I think?
5. I’m not sure

What is the length of the missing leg in this right triangle?
A right triangle has a side with length 7 millimeters and hypotenuse with length 25 millimeters.
18 mm
24 mm
26 mm
32 mm

Answers

Answer:

24mm

Step-by-step explanation:

I did the test and got it right

hope this helps :)

Answer:

B)24mm

Step-by-step explanation:

got it right edge 2021

un terreno de forma triangular tiene 250 pies de base por 180 pies de altura Cuál es la magnitud de su área en metro​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Areas..

Bienvenidos al concepto de áreas.

Área de un triángulo = 1/2 * base * altura,

aquí, base = 250, altura = 180, así que obtenemos como

Área = 1/2 * 250 * 180

Área = 250 * 90

Área = 22,500 mtrs.

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

First, let's calculate the area of the triangular piece of land in square feet:

Area = (1/2) x base x height

Area = (1/2) x 250 ft x 180 ft

Area = 22,500 sq. ft

To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:

Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft

Area ≈ 2,094.2 sq. m

Rounding to the nearest tenth of a square meter, we get:

Area ≈ 2,094.2 sq. m

Therefore,

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

Learn more about triangles here:

https://brainly.com/question/25950519

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The complete question:

A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters​

What is x. PLEASE HELP NEED ANSWERS NOW. M=​

Answers

2(6x+20) +2(8x-16)=180
12x+16x+40-32=180
28x+8=180
X=180-8/28=6
I think so my calculation may be wrong )
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