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Unformatted text preview: Home > My Assignments > Section 8.8 (Homework) About this Assignment SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University Due: Friday, December 2, 2005 11:02 PM EST Description The Binomial Series Current Score: 11.5 out of 14.5 Question Score pts 1 1/1 2 0.25/0.25 3 0.25/0.25 4 0.25/0.25 5 0.25/0.25 6 0.25/0.25 7 0.25/0.25 8 0.25/0.25 9 0.25/0.25 10 0.25/0.25 11 0.25/0.25 12 0.25/0.25 13 0.25/0.25 4/4 Viewing: Last Response View: All Responses Notes subs 2/20 2/20 3/20 4/20 3/20 9/20 3/20 6/20 17/20 4/20 12/20 3/20 4/20 1. [SCalcCC2 8.8.04.] Use the binomial series to expand the function as a power series. State the radius of convergence. R=1 [1] Give the series using the form below. A=1 B=2 C=3 D=2 E = -1 F=2 G=5 H=8 I=3 J = -4 K=2 L=3 [1] [2] [3] [2] [-1] [2] [5] [8] [3] [-4] [2] [3] pts 1 1/1 2 0.25/0.25 3 0.25/0.25 4 0.25/0.25 5 0.25/0.25 6 0.25/0.25 7 0.25/0.25 8 0.25/0.25 9 0.25/0.25 10 0.25/0.25 11 0.25/0.25 12 0.25/0.25 13 0.25/0.25 14 0.25/0.25 15 0.25/0.25 4.5/4.5 subs 3/20 3/20 3/20 2/20 7/20 2/20 4/20 6/20 3/20 7/20 3/20 3/20 2/20 3/20 3/20 2. [SCalcCC2 8.8.06.] Use the binomial series to expand the function as a power series. State the radius of convergence. R=2 [2] Give the series using the form below. Viewing: Last Response View: All Responses Notes A=2 B=2 C=1 D = -1 E=1 F=3 G=5 H=2 I = -1 J=2 K=2 L=1 M=2 N=2 [2] [2] [1] [-1] [1] [3] [5] [2] [-1] [2] [2] [1] [2] [2] pts subs 1 3/3 2/20 3/3 Viewing: Last Response View: All Responses Notes pts subs 1 0/3 1/20 0/3 Viewing: Last 3. [SCalcCC2 8.8.12.] (a) Expand f(x) = (x + x2)/(1 - x)3 as a power series. (Do this on paper. Your teacher may ask you to turn in this work.) (b) Use part (a) to find the sum of the series below. 6 [6] 4. [SCalcCC2 8.8.14.] (a) Use the binomial series to find the Maclaurin series of the following. (Do this on paper. Your teacher may ask you to turn in this work.) Response View: All Responses Notes (b) Use part (a) to evaluate f (9)(0). 0 [-113400] Home My Assignments ...
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