MATH 21A Midterm: MATH 21A Harvard 21a Fall 13Midterm 2
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Tth 11:30 francesco cavazzani: start by printing your name in the above box and check your section in the box to the left, do not detach pages from this exam packet or unstaple the packet, please write neatly. Answers which are illeg- ible for the grader cannot be given credit: show your work. Problem 1) true/false questions (20 points), no justi cations needed. For any continuous function f (x, y), we have r 1. If ~u is a unit vector tangent to f (x, y) = 1 at (0, 0) and f (0, 0) = 1, then. Assume f is zero on x = y and x = y, then (0, 0) is a critical point of f . If (0, 0) is the only local minimum of a function f and f has no local maxima, then (0, 0) is a global minimum.
