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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given farctan/ dxdydz
where T = {(x, y, z) : x² + y² + z² ≤ 4, z ≤ 0} .
The integral may be written in cylindrical coordinates as
b
Så få f² (r²0 sin 6)drdºdø
with the limits in r, 0 and as
b =
a
d
e =
Hint: write π as pi
C =
Transcribed Image Text:Given farctan/ dxdydz where T = {(x, y, z) : x² + y² + z² ≤ 4, z ≤ 0} . The integral may be written in cylindrical coordinates as b Så få f² (r²0 sin 6)drdºdø with the limits in r, 0 and as b = a d e = Hint: write π as pi C =
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