-3/2 Calculate the integral of ƒ(x, y, z) = z(x² + y² + z²)¯ over the part of the ball x² + y² + z² ≤ 49 defined by z≥ 1/1. (Use symbolic notation and fractions where needed.) D f(x, y, z) dV = W

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Calculate the integral of ƒ(x, y, z) = z(x² + y² + z²)−3/2 over the part of the ball x² + y² + z² ≤ 49 defined by z ≥ 1/1.
(Use symbolic notation and fractions where needed.)
D
f(x, y, z) dV =
) dV =
Transcribed Image Text:Calculate the integral of ƒ(x, y, z) = z(x² + y² + z²)−3/2 over the part of the ball x² + y² + z² ≤ 49 defined by z ≥ 1/1. (Use symbolic notation and fractions where needed.) D f(x, y, z) dV = ) dV =
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