APPM 1345 Midterm: appm134spring2015exam3_sol
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Spring 2015: (8 points) match the graphs shown to four of the following functions. No explanation is necessary. (a) y = ex (b) y = e x (c) y = ln x (d) y = log4 x (e) y = sin 1 x (f) y = tan 1 x. Solution: (1) e (2) f (3) c (4) d: (32 points) evaluate the following. 2 (cid:17) if f (u) = ln(cid:16) 3 cos 1 u(cid:17). Simplify your answer. (a) find f (cid:16) 3 (b) if g(x) = cax, g(1) = 3, and g(3) = 4 (c) find dy/dx given x2y = ( y)x, x > 0, y > 0. Leave your answer unsimpli ed. (d) find the local maximimum and minimum values of h(t) =(cid:0)ln(t + 5)(cid:1)2. 3 , nd the positive constants c and a. 3 f (u) = ln(cid:16) 3 cos 1 u(cid:17) = cos 1 u(cid:18) 1. 1 g(1) = ca = 3, g(3) = ca3 =
