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4. [5 points] Given that the Maclaurin series for In(x + 1) is E(-1)-12, R = 1, n = 1 which of the following options

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4. [5 points] Given that the Maclaurin series for In(x + 1) is E(-1)-12", R = 1, n = 1 which of the following options represents the Maclaurin series for f (x) = x2 In(1 + 23)? (-1) 2-12 2n+3 , R =1 n= 1 n (B) (-1)2-1 2on+2 R = 1 n = 1 n 00 C) ) ( - 1 ) 2 n! , R = 1 n = 1 0O (D) (-1)n zon + 6 n -, R = 1 n=1 Answer: 4. 5. [5 points] Which of the following integrals represents the volume V of the solid obtained by rotating the region bounded by the curves y = 4x and y = x2 about the x-axis? (A) V = (16202 - 204) doc (B) V = / T (4x - 22) dac (C) V = 1(24 - 16x2) doc ( D) V = / T (4x - 2 2 )2 doc Answer: 5

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