Please answer the question on the image and please give full explanation to the anwer. Integrate the function f (x, y) =in the figure at right.x² + y² + 1 over the region RR13Suppose that R is a 3-dimensional chunk of some substance, and that the density at each point(x, y, z) within it is given by the function 8 (x, y, z). Explain what the triple integral| 8(x, y, z) dVRRepresents physically, and give an intuitive explanation of why this is so.

GIVEN According to the given figure it can be seen that : r→1 to 3θ→0 to 5π4 Also the function is…

Answered: ntegrate the function f(x,y) = /x² + y²…

Math

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ntegrate the function f(x,y) = /x² + y² + 1 over the region R in the figure at right. R 1 3

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 11E

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Question

Please answer the question on the image and please give full explanation to the anwer.

Integrate the function f (x, y) =
in the figure at right.
x² + y² + 1 over the region R
R
1
3
Suppose that R is a 3-dimensional chunk of some substance, and that the density at each point
(x, y, z) within it is given by the function 8 (x, y, z). Explain what the triple integral
| 8(x, y, z) dV
R
Represents physically, and give an intuitive explanation of why this is so.

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