4) Find the volume of the solid under the surface f(x,y) = x² + y and over the region bound by the curves y = -4+ x2 and y = 4x2. A sketch of the region is shown below, but it is up to you to determine which function is which and the points of intersection. (Make sure you show work for the points of intersection.)
4) Find the volume of the solid under the surface f(x,y) = x² + y and over the region bound by the curves y = -4+ x2 and y = 4x2. A sketch of the region is shown below, but it is up to you to determine which function is which and the points of intersection. (Make sure you show work for the points of intersection.)
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 20E
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