MATH 510a Midterm: MATH 51 USC Midterm2 solutions
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Solutions to math 51 midterm 2 july 27, 2016: (12 points) (2 points each) the diagram below shows several marked points on the contour map of a function f (x, y). You may assume that f has continuous rst and second derivatives, and that the scales on the x and y axes, which are parallel to the edges of the box, are the same. The numbers drawn are the heights of the various level sets. Circle the appropriate word to complete each sentence (there is a unique best answer based on the diagram in each case). No justi cation is necessary. (a) at the point a the value of f. Positive (b) at the point a, the value of f. Negative (c) at the point b, the value of f. Negative (d) at the point c, the value of 2f. Negative (e) at the point d, the value of 2f. Negative (f) at the point e, the value of 2f.
