Use cylindrical coordinates to calculate SSSw f (x, y, z) dV for the given function and region: f(x, y, z) = z, x² + y² ≤ z ≤ 49 SSSw f(x, y, z) dV : =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use cylindrical coordinates to calculate

\[
\iiint_W f(x, y, z) \, dV
\]

for the given function and region:

\[ 
f(x, y, z) = z, \quad x^2 + y^2 \leq z \leq 49 
\]

\[
\iiint_W f(x, y, z) \, dV = \Box
\]
Transcribed Image Text:Use cylindrical coordinates to calculate \[ \iiint_W f(x, y, z) \, dV \] for the given function and region: \[ f(x, y, z) = z, \quad x^2 + y^2 \leq z \leq 49 \] \[ \iiint_W f(x, y, z) \, dV = \Box \]
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