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(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).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(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).
Transcribed Image Text:(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).
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