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MATH 112 Final: MATH 112 UW Sp14 Final Solution

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turquoisegnu128

31 Jan 2019

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Solutions to math 112 spring 2014 final exam. 1. (a) in the boxes under the given values, write 0, +, or - if the given value is zero, positive or negative, respectively. The rst two are given as examples. f (30) f (69) f (5) f (8) f (45) f (55) f (10) f (80) f (62) 0 (b) de ne f (x) = z x. The function f (x) has a relative (c) estimate for the following quantities from the graph. F (5) = 252. 5, f (25) = f (40) = 40, f (55) = f (55) = 0: let g(x, y) = x2 + 4xy + y3. 2x + 3y (a) compute the partial derivatives. X (2x + 4y)(2x + 3y) (x2 + 4xy + y3)(2) (2x + 3y)2 (4x + 3y2)(2x + 3y) (x2 + 4xy + y3)(3) (2x + 3y)2 (b) estimate g(3. 2, 5) g(3, 5)

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