Find the surface area of the portion of the bowl z=8-2²-² that lies above the plane z = 4. When setting up this problem, use polar coordinates and use symmetry to keep your integration variables in the first quadrant. Don't forget the Jacobian, because dA ‡ drdo. S=4[ 18 dr de Evaluate the integral. Give an exact answer or at least 3 sig figs.

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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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1 1.5
S=4
7.5
7
6.5
6
5.5
5
4.5
z
Find the surface area of the portion of the bowl z=8-2²-y that lies above the plane z = 4.
When setting up this problem, use polar coordinates and use symmetry to keep your integration variables in
the first quadrant.
Don't forget the Jacobian, because dA ‡ drd0.
dr de
Evaluate the integral. Give an exact answer or at least 3 sig figs.
Transcribed Image Text:1 1.5 S=4 7.5 7 6.5 6 5.5 5 4.5 z Find the surface area of the portion of the bowl z=8-2²-y that lies above the plane z = 4. When setting up this problem, use polar coordinates and use symmetry to keep your integration variables in the first quadrant. Don't forget the Jacobian, because dA ‡ drd0. dr de Evaluate the integral. Give an exact answer or at least 3 sig figs.
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