Math 20C — Second Midterm Solutions (Version #1)Problem 1.Letf(x, y) =x2+y3.(a)Compute the gradient vector∇fas a function ofxandy.
(b)Find an equation of the tangent plane to the graph offat the point(3,1,10).
(c)Compute an approximate value forf(3.01,0.99).
Problem 2.Consider the following contour map of a functionf, with its contour lineslabeled by the corresponding function values.ABCED16161620202024281212161620202424121