2. Use polar coordinates to find the volume of the solid under the paraboloid z = x² + y² and above the disk x² + y² ≤ 16.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
Question

Please help with #2.

1. Find the area of the region that lies inside the cardioid r = 1+ sin and outside the circle r = 1.
x² + y² and above the disk
2. Use polar coordinates to find the volume of the solid under the paraboloid z
x² + y² ≤ 16.
Transcribed Image Text:1. Find the area of the region that lies inside the cardioid r = 1+ sin and outside the circle r = 1. x² + y² and above the disk 2. Use polar coordinates to find the volume of the solid under the paraboloid z x² + y² ≤ 16.
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