(a) Set up (but do not evaluate) an integral that calculates the volume of that part of the solid E bounded above by z = 2-√√x² + y² and below by z = x² + y², which lies inside the cylinder r = cos 0. (b) Find all points on the surface z = = 2x² + 4y2 where the tangent plane is orthogonal to v = (1, 0, -1).

(a) Set up (but do not evaluate) an integral that calculates the volume of that part of the solid E bounded above by z = 2-√√x² + y² and below by z = x² + y², which lies inside the cylinder r = cos 0. (b) Find all points on the surface z = = 2x² + 4y2 where the tangent plane is orthogonal to v = (1, 0, -1).

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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