Given fff arctandrdydz where T = {(x, y, z): x² + y² + z² ≤ 4, z ≤ 0} The integral may be written in cylindrical coordinates as So f f (r²0 sin o)drdodo C with the limits in r, 0 and as a d= b e Hint: write π as pi C= f =

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.
Chapter7: Integration
Section7.CR: Chapter 7 Review
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Dd.60.

 

Given fff
arctandrdydz
T
where T = {(x, y, z): x² + y² + z² ≤ 4, z ≤ 0}.
The integral may be written in cylindrical coordinates
as
So f f (r²0 sin o) drdodo
a
C
with the limits in r, 0 and as
a
d=
b
e
Hint: write π as pi
C
f =
Transcribed Image Text:Given fff arctandrdydz T where T = {(x, y, z): x² + y² + z² ≤ 4, z ≤ 0}. The integral may be written in cylindrical coordinates as So f f (r²0 sin o) drdodo a C with the limits in r, 0 and as a d= b e Hint: write π as pi C f =
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