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Unless otherwise stated, the domain of a function of f is to be the set of all real numbers x for which f(x) is a

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Unless otherwise stated, the domain of a function of f is to be the set of all real numbers x for which f(x) is a real number.

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22. Find the area of the region bounded by the parabolas y = x2 and y = 6x x2. (A) 9 (B) 27 (C) 6 (D) ~9 (E) 18 23. The function f is given byx) = x" + 413. On which of the following intervals is f decreasing? (A) (3,0) (B) (09) (C) (-33) (D) (ml-3) (E) (-w) 24' lim tan(3x} + 3x = 1-)" sin(5x) (A) o (B) 3 (C) 1 (D) g _ (E) Nonexistent 25. If the region enclosed by the y-axis, the curve 3; = 4J3? , and the line y = 8 i5 revolved about the x~axis, the volume Of the solid generated is (A) E (B) 12811: (C) 2% (D) 128 (E) 128R 3 3 3 ----____________ 26. The maximum velocity attained on the interval 0 g t 5 5, by the particle whose displacement is given by so) = 2:3 12:2 + 16: + 2 is (A) 286 (B) 46 (C) 16 (D) 0 (E) 8 27. The value of c that satisfies the Mean Value Theorem for derivatives on the interval [0,5] for the function x) = x3 x is (A) % (B) 0 (C) 1 (D) (E) 53- J mlm

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