Find the area of the surface. The part of the plane  x + 2y + 3z = 1  that lies inside the cylinder  x2 + y2 = 2

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
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Find the area of the surface.

The part of the plane 
x + 2y + 3z = 1
 that lies inside the cylinder 
x2 + y2 = 2
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