x=u+w+v y=2v+w z=2u Calculate: (â^2)f)/âu, (â^2)f)/(â^2)w with respect to the variables x,y,z
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Use the Chain Rule to find the indicated partial derivatives. z = x^3 + xy^2, x = uv^2 + w^3, y = u + v*e^w [(partial z)/(partial u), (partial z)/(partial v), (partial z)/(partial w)] when u = 2, v = 1, w = 0 [(partial z)/(partial u)] = ? [(partial z)/(partial v)] = ? [(partial z)/(partial w)] =?
Solve the system and find the pivots when2u-v =0-u+2v-w=0-v+2w-z=0-w+2z=5You may carry the right-hand side as a fifth column (and omitwriting u,v,w, z until the solution at the end).