MATH 152 Midterm: MATH 152 TAMU 2012a Exam 1b
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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. 1 e (e) e (d) e + 1: find the average value of f (x) = x. X + 1 on the interval [0, 3]. (a) (b) (c) (d) (e) 0 sin3 x cos4 x dx = (a) 0 e t2 dt# = (a) 2xe x2 (b) e x4 (c) 2xex4 (d) 2xe x4 (e) e x2: given the graph of f (t) provided below, evaluate r 4 function consisting of a semi-circle and lines. Note that the graph of f (t) is a piece-wise de ned (a) 2 + (b) 1 + 3: z tan6 x sec4 x dx = tan7 x + c tan6 x + c sec5 x(cid:19) + c. 6 tan9 x tan8 x tan7 x(cid:19)(cid:18) 1. 9 tan9 x + tan7 x + c tan9 x +