Evaluate the triple integral. x dV, where E is bounded by the paraboloid x = 8y2 + 8z2 and the plane x = 8. Step 1 The given solid can be depicted as follows. 1.0 0.5 0.0 -0.5 -49 0.5 0.0 0.5 1.0 The solid is the portion of the paraboloid that is between the yz-plane and the plane x = 8. Therefore, for given y and z values, the x-value has the limits

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Evaluate the triple integral.
x dV, where E is bounded by the paraboloid x = 8y2 + 8z2 and the plane x = 8.
Step 1
The given solid can be depicted as follows.
1.0
0.5
0.0
-0.5
0.5
0.0
y
0.5
1.0
The solid is the portion of the paraboloid that is between the yz-plane and the plane x = 8. Therefore, for given y and z values, the x-value has the limits
8
<xs 81 + 8z
Transcribed Image Text:Evaluate the triple integral. x dV, where E is bounded by the paraboloid x = 8y2 + 8z2 and the plane x = 8. Step 1 The given solid can be depicted as follows. 1.0 0.5 0.0 -0.5 0.5 0.0 y 0.5 1.0 The solid is the portion of the paraboloid that is between the yz-plane and the plane x = 8. Therefore, for given y and z values, the x-value has the limits 8 <xs 81 + 8z
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