MATH 100 Midterm: MATH100 Midterm 2 Practice Solutions

• School: UBC
• Department: Mathematics
• Course: MATH 100
• Professor: All

Document Summary

25 (80 log(4) 31). dx for a > 0. 1 (cid:90) 5 (cid:90) 4 (cid:90) (cid:90) 4 (cid:90) a (cid:90) 1 (cid:90) (cid:90) /3 (cid:90) 1 (cid:90) 1 (cid:90) (cid:90) 4. 0 (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) sin2(t) cos5(t)dt. 840 sin3(1) (157 + 108 cos(2) + 15 cos(4)). 3: set up, but do not evaluate, an integral for the area enclosed by the given curves. (a) y = x + 1, y = 9 x2, x = 1, and x = 2. Possible answer: a = ((9 x2) (x + 1))dx. (cid:90) 2. 1 (b) y = x and y = x2. Possible answer: a = (x x2)dx. (cid:90) 1. 0 (c) x = 1 y2 and x = y2 1. Possible answer: a = ((1 y2) (y2 1))dy. (d) x = 2y2 and x + y = 1. Possible answer: a = ((1 y) 2y2)dy. (cid:90) 1 (cid:90) 1/2.