MATH 126 Final: MATH 126 UW Final Exam Fall 2013 Solutions

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31 Jan 2019
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Math 126 final exam hints and answers. 1. (a) ~v(t) = h4 1 + t, 1, t2 5ti (b) at = 2. 0 p16(1 + t) + 1 + (t2 5t)2 dt. 2. (a) p (9, 7, 2) (b) cos 1(cid:18) 102 53(cid:19) = 74. 22 (c) x + y + 10z = 36: (12, 9, 22) 4. (a) y = x + 2 (b) z 2 . 5. (a) (0, 0) gives a local min (b) absolute min is 0, absolute max is sin(1) (c) (1 cos(1): cos(1) 1, z 1 = 3. 2 (x + 1) (a) t2(x) = 1 2x x2 (b) |t2(x) f (x)| 4e2 (c) x 2 1 (a) cos(2x) = 1 (b) cos2(x) = 3 9. 8521 (any reasonable larger bound is ok)

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