Find the center of mass of the lamina a) bounded by the curves y=x-4 and y= 5, and having density directly proportional to the square of the distance from the y-axis.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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2. Find the center of mass of the lamina
a) bounded by the curves y= x-4 and y= 5, and having density directly proportional to the square of
the distance from the y -axis.
b) bounded by the curve x'+(y-2)' 4, and having density given by p(x, y)=-
Transcribed Image Text:2. Find the center of mass of the lamina a) bounded by the curves y= x-4 and y= 5, and having density directly proportional to the square of the distance from the y -axis. b) bounded by the curve x'+(y-2)' 4, and having density given by p(x, y)=-
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