MATH 126 Final: MATH 126 UW Final Exam Spring 2016 Solutions
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1. (a) 2x y = 0 (b) cos 1(cid:18) 15. 5 51(cid:19: (a) false; (b) true; (c) true; 3. (d) (0, 1, 0), (0, 1, 0), (1, 0, 0), ( 1, 0, 0) (a) find t and s such that r1(t) = r2(s). This occurs when t = 1 and s = 0 and again when t = 3 and s = 1. The paths intersect at (1, 1, 1) and (3, 9, 27) (b) since s 6= t for either solution, the particles do not collide: x + y = 3, max value is 3 (occurs at the point (2, 5). Min value is 9 (occurs at the point (0, 3)): z 1 dx dy = z /4 sin x. 8. (a) t2(x) = e + 2e(x 1) + 3e(x 1)2 (b) on [0, 2], Using m = 88e4, |t2(x) f (x)| 44. 3 e4. (other correct answers are possible. ) (c) at x = b, there is no error.
