Show complete solution. Let w= F(x,y,x) = -x2tan(yz) + ez+1 ln(xy) and let P be the point (1,e,0). a. Find the rate of change of F at P in the direction of the vector (-2,1,2) b. What is the maximum rate of change of f at P? c. If x= s2-t, y= s+2t2 and z=sin(πt), use the chain rule to find ∂w/∂s when (s,t)=(1.0).

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