MATH 126 Final: MATH 126 UW Final Exam Winter 2011 Solutions
Document Summary
Math 126 final exam hints and answers. Winter 2011: hint: the curves intersect when t = 1 and s = 2 and the tangent vectors at the point of intersection are r (1) = h1, 2, 3i and r (s) = h1, 5, 8i. 6 ! (a) answer: t(t) =(cid:28) (b) answer: n(t) =(cid:28) (c) answer: b(t) =(cid:28) 12. 13 sin t, cos t(cid:29) cos t, sin t(cid:29) sin t, cos t, . 13: (a) f; (b) f; (c) f; (d) t; (e) t; (f) t; (g) t; (h) f; (i) f; (j) f. 4. (a) answer: (answers may vary) 1: x = 4t, y = 3 2t, z = 4 (b) answer: (answers may vary) 2 : x = 3 + 2t, y = 1 t, z = 5. 5. (a) hint: compute fx(100, 100). (b) hint: compute fy(100, 100). Answer: you will be ascending at an angle of tan 1(cid:0) 1.
