In: Math
Multivariable Calculus: Surface Area and Change of Variables
Find the surface area of the surface given by z =18−2x−3y over the triangle with vertices: (0,0), (2,3), (4,1). Since this is not a type I or type II region, you will either need to divide the region into two regions or use a change of variables. x=(1/5)(u-2v) and y=(1/10)(3u-v) is a possible change of variables.
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