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Let f(x) = 1/(1-2x).
a. Find the first five terms in the Taylor series about x = 0 for f(x).
b. Find the interval of convergence for the series in part (a).
c. Use partial fractions and the result from part (a) to find the first five terms in the Taylor series about x = 0 for g(x) = 1/(1-2x)(1-x).
Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function w..
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Matrice operations solve the problem
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How many different ways are there for an admissions officer to select a group of 5 college candidates from a group of 9 applicants for an interview?
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