a para on to express the area The portion of the plane y + 2z = 2 inside th Let u =r and v = 0 and use cylindrical coore SJO du dv (Type exact answers.)

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 plane y+ 2z = 2 inside the cylinder
x²
y²
=31
Let u=r and v = 0 and use cylindrical coordinates to parameterize the surface. Set up the double integral to find the surface area.
00
IO du dv
(Type exact answers.)
After evaluating the double integral, the surface area is
(Type an exact answer in terms of t.)
Enter your answer in each of the answer boxes.
CIT TR
11.C0pm
e Type here to search
99+
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 plane y+ 2z = 2 inside the cylinder x² y² =31 Let u=r and v = 0 and use cylindrical coordinates to parameterize the surface. Set up the double integral to find the surface area. 00 IO du dv (Type exact answers.) After evaluating the double integral, the surface area is (Type an exact answer in terms of t.) Enter your answer in each of the answer boxes. CIT TR 11.C0pm e Type here to search 99+
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