Match the integrals with the type of coordinates which make them the easiest to do. Put the letter of the coordinate system to the left of the number of the integral. 1. fff SSS E 1 ≤ x ≤ 2,3 ≤ y ≤ 4,5 ≤ z ≤ 6 2. SSS 2²dV where E is: −2 ≤ z ≤ 2, 1 ≤ x² + y² ≤ 2 E z dV where E is: VI
Match the integrals with the type of coordinates which make them the easiest to do. Put the letter of the coordinate system to the left of the number of the integral. 1. fff SSS E 1 ≤ x ≤ 2,3 ≤ y ≤ 4,5 ≤ z ≤ 6 2. SSS 2²dV where E is: −2 ≤ z ≤ 2, 1 ≤ x² + y² ≤ 2 E z dV where E is: VI
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Match the integrals with the type of coordinates which make
them the easiest to do. Put the letter of the coordinate system
to the left of the number of the integral.
1. SSS z dV where E is:
E
1 ≤ x ≤ 2, 3 ≤ y ≤ 4,5 ≤ z ≤ 6
2. SS2²dV where E is: −2 ≤ z ≤ 2, 1 ≤ x² + y² ≤ 2
E
3. SSD √²+² A where D is: x² + y² ≤ 4
4.² ² / dx dy
5. dV where E is:
E
x² + y² + z² ≤ 4, x ≥ 0, y ≥ 0, z ≥ 0
A. polar coordinates
B. spherical coordinates
C. cylindrical coordinates
D. cartesian coordinates
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