MATH 132 Final: MATH 132 UMass Amherst Math-132-Final-Exam-Practice-Questions
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Math 132 final exam - practice questions: given that a maclaurin series for sin(x) is for f (x) = x4 sin( x4). , nd the maclaurin series (a) (b) (c) (d) Xn=0 ( 1)n 2n+1x8n+5 (2n + 1)! ( 1)n 8n+4x8n+8 (2n + 1)! ( 1)n 8n+1x8n+5 (2n + 1)! ( 1)n 2n+1x8n+8 (2n + 1): find the interval of convergence of the power series: Xn=1 (x 5)n n! (a) i = {0} (b) i = [4, 6] (c)i = (d) i = ( , : evaluate the integral. Z x2 ln(4x) dx: consider the two parabolas y = x2 c2 and y = c2 x2. Find the value of the constant c such that the area of the region bounded by the parabolas is 576: for the following power series, nd the radius and interval of convergence. 3n (n + 1)3 (2x 1)n: represent the function as a power series. f (x) =
