MATH 112 Midterm: MATH 112 BYU KeyW2009A
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Fill in the answer to each problem on your scantron. Solution: a: for what value of c is the function g(x) below continuous? a) c = 1 d) c = 2. 2x ln(x2 1) 2x ln(8) e) 2x ln((x2 1)4(x2 1)) c) ln(x2 1) ln(8) f) Solution: a: use linear approximation to estimate sinh(0. 1). a) 0. 1 f: a function s(t) is given by s(t) = t1/3 + t2/3. 0: 1, find all vertical asymptotes. y = Solution: e: for the de nition of the limit. Nd the largest value of that corresponds to = 0. 06. lim x 2. 0. 01: a certain isotope has a half-life of 40 years. Fill in the blank with the appropriate answer: a rectangular box with a square base is to hold 4000 cubic centimeters. C = 2 4xy + 1 2x2 = C = 6 4xy + 2 2x2 = + 4x2. (b) (4 points) find the dimensions of the most economical box.
