MATH 152 Midterm: MATH 152 TAMU 2012a Exam 1b Solutions
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Part i: multiple choice (4 points each: the region bounded by y = x2 and y = 4 is revolved around the x-axis. Using the method of washers, v =z 2. 0 (sec2 x)etan x dx = (a) e 2/2 1 (b) e1/2 1 (c) e 2 1 (d) 1 e (e) e 1 correct choice. Using integration by substitution, let u = tan x. 1: find the area bounded by y = ex, y = e x, x = 0, x = 1. Correct choice (a) 2 + e + (b) e 2 (c) e + 2. 1 e (d) e + (e) e . 0 (ex e x) dx = (cid:0)ex + e x(cid:1)(cid:12)(cid:12) 1 e 2: find the average value of f (x) = x. X + 1 on the interval [0, 3]. (a) (b) (c) (d) (e) By hooke"s law, f (2) = 12n where f (x) = kx.
