How do we find the area inside both cardioidsr =1+sin(0) and r = 1+cos(0)? %3D

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
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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Parts B and C

 

1.
Sketch the region of integration for each. Then set up the double integral
used to solve the problem.
(a) How do we find the volume of the solid below the hyperboloid z = 5-/1+x² + y²
and above the region R = {(x, y) |1< x² + y² < 4in quadrants II and III}?
(b) How do we find the area inside both cardioids r = 1+sin(0) and r = 1+cos(0)?
1
Ue V16 – 2 – y
: {(x, y) | x² + y² < 16, x > 0, and y > 0}?
(c) How can we evaluate
dA over the region
R =
Transcribed Image Text:1. Sketch the region of integration for each. Then set up the double integral used to solve the problem. (a) How do we find the volume of the solid below the hyperboloid z = 5-/1+x² + y² and above the region R = {(x, y) |1< x² + y² < 4in quadrants II and III}? (b) How do we find the area inside both cardioids r = 1+sin(0) and r = 1+cos(0)? 1 Ue V16 – 2 – y : {(x, y) | x² + y² < 16, x > 0, and y > 0}? (c) How can we evaluate dA over the region R =
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