Evaluate (3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0 and laterally by the cylinder with generators parallel to the z-axis over the boundary of the square region R: 1 ≤ x ≤ 1,-1 ≤ y ≤ 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 12E
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Evaluate (3x + 2y)dV, where S is the solid bounded above by the
plane z=4, below by plane z=0 and laterally by the cylinder with
generators parallel to the z-axis over the boundary of the square region
R: 1 ≤ x ≤ 1,-1 ≤ y ≤ 3.
I
Transcribed Image Text:Evaluate (3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0 and laterally by the cylinder with generators parallel to the z-axis over the boundary of the square region R: 1 ≤ x ≤ 1,-1 ≤ y ≤ 3. I
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