Find the average value of the function f(x, y, z) = x² + y²+z2 over the rectangular prism 0 ≤x≤2, 0≤ y ≤4, 0 ≤ z <3.

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.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 29E
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Find the average value of the function f(x, y, z) = x² + y²+ 22 over the rectangular prism 0 ≤ x ≤2, 0 ≤ y ≤4, 0 ≤ z <3.
Transcribed Image Text:Find the average value of the function f(x, y, z) = x² + y²+ 22 over the rectangular prism 0 ≤ x ≤2, 0 ≤ y ≤4, 0 ≤ z <3.
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