MATH 2551 Final: MATH 2551 GT f17Practice Final Solution
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Guideline: please show all your work in problem 3 7. A double-sided letter-sized cheat sheet is allowed, and it must be hand-written by yourself. Books, notes, calculators, cell phones and laptops are not allowed in this exam. Circle the correct answer. (see the next page for explanations. : if a smooth function f (x, y) achieves its absolute maximum in [0, 1] [0, 1] at the point. True (a, b), then we must have f (a, b) = 0: if f is a vector eld such that c conservative. F dr = 0 for the unit circle c, then f must be. True: if f is a smooth vector eld, then it must satisfy that ( f) = 0 everywhere. False: let (a, b) be a critical point of a smooth function f , and fxx(a, b) = 2, fyy(a, b) = 1. 0 f (x, y)dxdy is equal to f (x, y)dydx; (c) neither of above.
