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36. Find lim (_)x (A) e (B) 0 (C) 1 (D) .. (0 x 37. Which of the following represents the arc length of the
36. Find lim (_)x (A) e (B) 0 (C) 1 (D) .. (0 x 37. Which of the following represents the arc length of the curve y = 1/x over the interval [1, 3] ? ( D) Ji V-+ dx 38. Find the number of terms necessary to approximate the sum of the series E (- -)" with an error less than 0.001 ? (A) 4 (B) 46 (C) 5 (D) 47 39. If the series E an is conditionally convergent, which of the following series must diverge ? (A) E (an)2 n=1 (B ) Elanl (C) I'M 8 ( - 1) 2n an (D) I'M8 ( - an ) n=1 40. Which of the following integrals represents the volume of the solid formed by revolving the region bounded by the graphs of y= x, y = 1, and x = 2 about the line y = 10? (A) af (10-y)(2-Vy)dy (B) af [81-(10-x3)" ]dx | (C) 2n [ y(2- y )dy (D) x] [1-(10-x3)' ]dx
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