APPM 1235 Final: appm1235spring2017examfinal_sol
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Instructions: books, notes, and electronic devices are not permitted. Correct answers without supporting work may not receive full credit. Cu honor code applies; all work and answers must be your own: (21 points) evaluate the following. 2 (b) cos2(cid:0) cos2(cid:0) (c) if tan = . 2 < < 2 = cos = 1. 2 (f) find the exact value of the expression sin(cid:0)2 cos 1(cid:0) 3. 5(cid:1)(cid:3) cos(cid:2)cos 1(cid:0) 3 (g) write the expression as an algebraic expression in x for x > 0. 2(cid:1) = x2+4 x: (10 points) logarithms. Short answer. (a) condense the expression into a single logarithm: 2 ln x 4 ln(1/y) 3 ln(xy). 2 ln x 4 ln(1/y) 3 ln(xy) = ln x2 4 ln(y 1) ln(xy)3 = ln x2 + ln y4 ln(xy)3. = ln x2y4 ln x3y3 = ln x2y4 x3y3 = ln y x (b) evaluate and simplify log5 16 log5 4 . log5 16 log5 4 log5 24 log5 22 =
