a) Use cylindrical coordinates to evaluate 4 √16-x ² 16-x² - y² S S S √x² + y ² dzdydx 0 b) Use spherical coordinates to evaluate 2 √4-y² Š -2 -√4-1² -√4-x² - y² √4-x ( x² + y² + z ² ) d z dx dy wher-
a) Use cylindrical coordinates to evaluate 4 √16-x ² 16-x² - y² S S S √x² + y ² dzdydx 0 b) Use spherical coordinates to evaluate 2 √4-y² Š -2 -√4-1² -√4-x² - y² √4-x ( x² + y² + z ² ) d z dx dy wher-
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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Question 3:
Transcribed Image Text:a) Use cylindrical coordinates to evaluate
4 √16-x ² 16-x² - y²
S S S √x² + y ² dzdydx
0
b) Use spherical coordinates to evaluate
2
√4-y²
Š
-2 -√4-1² -√4-x² - y²
√4-x
( x² + y² + z ² ) d z dx dy
wher-
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