A solid E lies within the cylinder 64x² + 64y² = 9, below the plane z = 16 and above the paraboloid z = 3 – x² – y² . The density at any point is in inversely proportional to the distance from the z-axis, with k the constant of proportionality.
A solid E lies within the cylinder 64x² + 64y² = 9, below the plane z = 16 and above the paraboloid z = 3 – x² – y² . The density at any point is in inversely proportional to the distance from the z-axis, with k the constant of proportionality.
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 25E
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