Z Find the mass of the solid paraboloid D = {(r,0,z): 0 ≤z≤ 64 - 2, 0≤r≤ 8} with density p(r,9,z) = 1 + 64 Set up the triple integral using cylindrical coordinates that should be used to find the mass of the solid paraboloid as efficiently as possible. Use increasing limits of integration. 0 dz dr de

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 7E
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Z
Find the mass of the solid paraboloid D = {(r,0,z): 0≤z≤ 64-r², 0≤r≤ 8} with density p(r,0,z) = 1 +
64
Set up the triple integral using cylindrical coordinates that should be used to find the mass of the solid paraboloid as efficiently
as possible. Use increasing limits of integration.
JJJ
0
dz dr de
Transcribed Image Text:Z Find the mass of the solid paraboloid D = {(r,0,z): 0≤z≤ 64-r², 0≤r≤ 8} with density p(r,0,z) = 1 + 64 Set up the triple integral using cylindrical coordinates that should be used to find the mass of the solid paraboloid as efficiently as possible. Use increasing limits of integration. JJJ 0 dz dr de
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