midterm2_wi11 - Math 20C Second Midterm Solutions(Version#1...

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Math 20C — Second Midterm Solutions (Version #1)Problem 1.Letf(x, y) =x2+y3.(a)Compute the gradient vectorfas 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

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