How do you solve (b)? (a) Set up an integral that represents the volumethe solid below the cone z = Vx2 + y2, above z = 0, andinside the cylinder x² + y² = 2x. You can express your answer as either a double integral or a triple integral. Donot evaluate the integral.(b) Let E = {(x, y, z) : –1< x < 0,0 < y< V1- x²,0 < z< 2}. Write the integralII cos (2 + y°)dVEin cylindrical coordinates. Do not evaluate the integral.(c) Write the integral.32..2+ y? + z2 dzdxdy/9-y²-y²in spherical coordinates. Do not evaluate the integral.

Answered: Image /qna-images/answer/6e5efadf-f71e-493f-b428-255c8aad63ed.jpg

Answered: (b) Let E = {(x, y, z) : –1< # < 0, 0 <…

(b) Let E = {(x, y, z) : –1< # < 0, 0 < y < VI– a², 0< z< 2}. Write the integral II| cos (2² + y°)dV E in cylindrical coordinates. Do not evaluate the integral.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Question

How do you solve (b)?

(a) Set up an integral that represents the volume
the solid below the cone z = Vx2 + y2, above z = 0, and
inside the cylinder x² + y² = 2x. You can express your answer as either a double integral or a triple integral. Do
not evaluate the integral.
(b) Let E = {(x, y, z) : –1< x < 0,0 < y< V1- x²,0 < z< 2}. Write the integral
II cos (2 + y°)dV
E
in cylindrical coordinates. Do not evaluate the integral.
(c) Write the integral
.3
2.
.2
+ y? + z2 dzdxdy
/9-y²
-y²
in spherical coordinates. Do not evaluate the integral.

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