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 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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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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