2. Evaluate the integrals a) 1 z y S SS ze-y² dxdydz ze 0x0 b) SSS 2xdV ; E = {(x, y, z)|0 ≤ y ≤ 2,0 ≤ x ≤ √4 - y²,0 ≤ z ≤ y} E c) ff yz cos(x³) dV ; E = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ x,0 ≤ z ≤ 2x}
2. Evaluate the integrals a) 1 z y S SS ze-y² dxdydz ze 0x0 b) SSS 2xdV ; E = {(x, y, z)|0 ≤ y ≤ 2,0 ≤ x ≤ √4 - y²,0 ≤ z ≤ y} E c) ff yz cos(x³) dV ; E = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ x,0 ≤ z ≤ 2x}
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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Show full and complete procedure HANDWRITTEN only. Please answer a) b) and c). Note they are subparts of the same question
![2. Evaluate the integrals
a)
1 z y
c)
0x0
ze-y² dxdydz
b)
SSS 2xdV ; E = {(x, y, z)|0 ≤ y ≤ 2,0 ≤ x ≤ √4 - y²,0 ≤ z ≤y}
E
SSS
yz cos(x5) dV; E = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ x,0 ≤ z ≤ 2x}
E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F704e3954-aed4-49bb-91f4-2bda230b35b6%2Ff3ecd8fd-80b6-4dae-9a3e-8364f7fabd0c%2F9h9d9eb_processed.png&w=3840&q=75)
Transcribed Image Text:2. Evaluate the integrals
a)
1 z y
c)
0x0
ze-y² dxdydz
b)
SSS 2xdV ; E = {(x, y, z)|0 ≤ y ≤ 2,0 ≤ x ≤ √4 - y²,0 ≤ z ≤y}
E
SSS
yz cos(x5) dV; E = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ x,0 ≤ z ≤ 2x}
E
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