Path of steepest descent Consider each of the following surfaces and the point P on the surface. a. Find the gradient of ƒ. b. Let C’ be the path of steepest descent on the surface beginning at P, and let C be the projection of C’ on the xy-plane. Find an equation of C in the xy-plane. c. Find parametric equations for the path C’ on the surface. ƒ(x, y) = 4 + x (a plane); P(4, 4, 8)

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