MATH 124 Midterm: MATH 124 UW 124 Winter 18 Midterm 2 Solution

• School: UW
• Department: Mathematics
• Course: MATH 124

Document Summary

Math 124 online, winter 2018,solutions to midterm ii: find dy dx for the following functions. (a) (b) dy dx dy dx. 2 x e2x 7 ln(x2)e2x 7 e2(2x 7) cos(cid:0)ln(x3 + ex)(cid:1) x3 + ex. (3x2 + ex) (c) ln y = ln xln x = ln x ln x = (ln x)2 y y dy dx. 2. (a) 2yy = 3x2 6x + 1. Intersection of the tangent line with the curve x x. which simpli es to (cid:18) 1. Since x = 0 gives the original point, at the intersection x = 109/36. 6 a + 3 so a 0. 48. So 2. 92 1 (b) linear approximation y 1 dy. When t = 1, x = 8 and y = 1 so the point is (8, 1). When t = 1, x = 2 and y = 3 so the point is ( 2, 3).