Find the area of the portion of the paraboloid x = 10-y² - z² that lies above the ring 1 sy² + z²s4 in the yz-plane. The area of the surface is (Type an exact answer, using as needed.)

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 34E: Use the boxing method as suggested in Exercise 33, to find the area RST, with R-2,4,S-1,-2,andT6,5....
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Find the area of the portion of the paraboloid x = 10-y² - z² that lies above
the ring 1 < y² + z² ≤ 4 in the yz-plane.
The area of the surface is
(Type an exact answer, using as needed.)
Transcribed Image Text:Find the area of the portion of the paraboloid x = 10-y² - z² that lies above the ring 1 < y² + z² ≤ 4 in the yz-plane. The area of the surface is (Type an exact answer, using as needed.)
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