Let R be the region bounded by y=4-x²,y=4-x and I= || -4 ydA. R a) Sketch the region R. b) Setup the integral I in the order dxdy. c) Setup the integral I in the order dydx and use the more convenient order to evaluate it.

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 23E
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Let R be the region bounded by y=4-x²,y=4-x
and I=
I| -4 ydA.
R
a) Sketch the region R.
b) Setup the integral I in the order dxdy.
c) Setup the integral I in the order dydx and use
the more convenient order to evaluate it.
Transcribed Image Text:Let R be the region bounded by y=4-x²,y=4-x and I= I| -4 ydA. R a) Sketch the region R. b) Setup the integral I in the order dxdy. c) Setup the integral I in the order dydx and use the more convenient order to evaluate it.
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