Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cone z = 5√x² + y² between the planes z = 15 and z = 20 ... Let u=r and v = 0 and use cylindrical coordinates to parametrize the surface. Set up the double integral to find the surface area. SS du dv ПП (Type exact answers.) After evaluating the double integral, the surface area is (Type an exact answer, using л and radicals 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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral.
The portion of the cone z = 5√x² + y² between the planes z = 15 and z = 20
...
Let u=r and v = 0 and use cylindrical coordinates to parametrize the surface. Set up the double integral to
find the surface area.
SS
du dv
ПП
(Type exact answers.)
After evaluating the double integral, the surface area is
(Type an exact answer, using л and radicals as needed.)
Transcribed Image Text:Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cone z = 5√x² + y² between the planes z = 15 and z = 20 ... Let u=r and v = 0 and use cylindrical coordinates to parametrize the surface. Set up the double integral to find the surface area. SS du dv ПП (Type exact answers.) After evaluating the double integral, the surface area is (Type an exact answer, using л and radicals as needed.)
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