Use the method of partial fractions to evaluate the following integral: dx (x - 1)(x +2) (A) - In x + 2 I+c (B) - In x- 1 * + 2 + c (C) _In/ (x - 1) (x+ 2)/ + c (D) (In x - 1)(In/x+2)) + C (E) In (x - 1)(x + 2)2+c A solid has as its base the circle x2 + y2 =9 and all cross-sections parallel to the x-axis are squares. Find the volume of the solid. (A) 27 (B) 64 (C) 108 (D) 144 (E) 256 Which ONE of the following statements about series is true ? (A) If lim un = 0, then Eun converges. (B) If lim un # 0, then Zun diverges. (C) If Eun diverges, then lim un #0 (D) none of these When S (1)n-1 n=1 3n -1 is approximated by the sum of its first 300 terms, the error is closest to: (A) 0.001 (B) 0.002 (C) 0.005 (D) 0.01 (E) 0.02 Which of the following series converge ? I.5 n II. E cos(nIt) III. 5 1 n=In+2 n=1 n n=In (A) None (B) II only (C) III only (D) I and II only (E) I and III only