Answer & Explanation:I do not want the steps just i want the answers. please be clear about the answers and the number of the questions.

sec._15.5__applications_of_multiple_integrals___math_2163__section_61998__fall_2019___webassign.pdf

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Sec. 15.5: Applications of Multiple Integrals – MATH 2163, section 61998, Fall 2019 | WebAssign

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MATH 2163, section 61998, Fall 2019

INSTRUCTOR

Ning Ju

Sec. 15.5: Applications of Multiple Integrals

(Homework)

Northern Oklahoma

College

Current Score

QUESTION

1

POINTS

–/1

2

3

4

5

6

7

TOTAL SCORE

–/2

–/1

–/2

–/2

–/2

–/2

–/12

0.0%

Due Date

DECEMBER 14

11:50 PM CST

Description

Assignment Submission &

Scoring

Assignment Submission

For this assignment, you submit

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g

Assignment Scoring

Your best submission for each question

part is used for your score.

–/1 points

1.

RogaCalcET3 15.5.001.

My Notes

Find the total mass M of the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 assuming a mass density of

δ(x, y) = 10×2 + 4y2.

M=

–/2 points

2.

RogaCalcET3 15.5.006.

My Notes

Find the total mass M of the solid region W defined by x ≥ 0, y ≥ 0, x2 + y2 ≤ 16, and

x ≤ z ≤ 32 − x (in centimeters) assuming a mass density of δ(x, y, z) = 4y g/cm3.

M=

g

–/1 points

3.

RogaCalcET3 15.5.009.

My Notes

Assume that the density of the atmosphere as a function of altitude h (in kilometers) above sea level is

δ(h) = ae−bh kg/km3, where a = 1.225 × 109 and b = 0.21. Calculate the total mass M of the

atmosphere contained in the cone-shaped region

x2 + y2 ≤ h ≤ 3. (If you enter your answer in

scientific notation, round the decimal value to three decimal places. Use equivalent rounding if you do

not enter your answer in scientific notation.)

M=

kg

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Sec. 15.5: Applications of Multiple Integrals – MATH 2163, section 61998, Fall 2019 | WebAssign

–/2 points

4.

RogaCalcET3 15.5.011.

My Notes

Find the centroid of the given region assuming the density δ(x, y) = 1.

Region bounded by y = 1 − x2 and y = 0

x, y =

–/2 points

5.

RogaCalcET3 15.5.016.

Find the y-coordinate of the centroid of the sector in the figure below. Assume that R =

My Notes

22 and

θ = π.

y=

6.

4

–/2 points

RogaCalcET3 15.5.017.

My Notes

Find the centroid of the given solid region assuming a density of δ(x, y, z) = 1.

x2 + y2 + z2 ≤ 49, z ≥ 0

x, y, z =

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7.

Sec. 15.5: Applications of Multiple Integrals – MATH 2163, section 61998, Fall 2019 | WebAssign

–/2 points

RogaCalcET3 15.5.019.

My Notes

Find the centroid of the given solid region assuming a density of δ(x, y, z) = 1.

The “ice cream cone” region W bounded, in spherical coordinates, by the cone ϕ = π and the

3

sphere ρ = 5

x, y, z =

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