Please note the two parts in this question are not related. (a) Find an equation of the tangent plane to the surface of z =
Please note the two parts in this question are not related. (a) Find an equation of the tangent plane to the surface of z = ye(zy+2: )at (-1, 2, 2) (b) Given that the function T=f(x,y,z) is a differentiable function with f(-3, 5, 1) = 6, fx(-3, 5, 1) = -2, fy(-3, 5, 1) = 4, fz(-3, 5, 1) = 3, find the linear approximation and the differential of the function at (-3,5,1). Use the differential to estimate the total change AT when x is decreased by 0.03, y is increased by 0.04, and z is decreased by 0.05. Enter your answer in the blank below. Round your answer to two decimal places. Your
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