Find the volume of the solid bounded above by the parabolic cylinder z= 2 - x^2 and below by the elliptic paraboloid z = x^2 + 2y^2.

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 11E
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3. Find the volume of the solid bounded above by the parabolic cylinder z= 2 - x^2 and below by the elliptic paraboloid z = x^2 + 2y^2. 

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