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## Homework Statement

Find the points on the graph of z=(x^2)(e^y) at which the tangent plane is parallel to 5x-2y-.5z=0

## Homework Equations

An equation of the tangent plane to z=f(x,y) at (a,b) is:

z = f(a,b) + fx(a,b)(x-a) + fy(a,b)(y-b)

## The Attempt at a Solution

Partial derivatives of function f(x,y)

fx(x,y) = 2xe^y => fx(a,b) = 2ae^b

fy(x,y) = (x^2)(e^y) => fy(a,b) = (a^2)(e^b)