Find the area of the surface given by z = f(x,y) over the region R.   R:  The triangle with vertices (0,0), (2,0), and (0,2)   f(x,y) = 2x + 2y   Answer: 6 (but how do I get there?)

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Find the area of the surface given by z = f(x,y) over the region R.

 

R:  The triangle with vertices (0,0), (2,0), and (0,2)

 

f(x,y) = 2x + 2y

 

Answer: 6 (but how do I get there?)

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