Question: 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 = 2melmy'3'vzlat (1, 3, 2). (b) Given that the function T = f(m, y, z) is a differentiable function with f(_4:21_2) : 3: fm(_4a21_2) : 5: fy(_4721_2) : _2: fz(_4a 2: _2) : 3! nd the linear approximation and the differential of the function at (-4,2,-2). Use the differential to estimate the total change AT when x is increased by 0.07, y is decreased by 0.06, and z is decreased by 0.02. Enter your answer in the blank below. Round your answer to two decimal places
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