Mathematics, 08.11.2019 20:31 ldsimms12
Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) β 0.] f(x) = x4 β 4x2 + 2, a = 2 [infinity] f n(2) n! (x β 2)n n = 0 = 2 + 16(x β 2) + 20(x β 2)2 + 8(x β 2)3 + (x β 2)4 [infinity] f n(2) n! (x β 2)n n = 0 = 2 + 16(x β 2) β 8(x β 2)2 + 20(x β 2)3 β (x β 2)4 [infinity] f n(2) n! (x β 2)n n = 0 = β2 + 16(x β 2) + 20(x β 2)2 β 8(x β 2)3 + (x β 2)4 [infinity] f n(2) n! (x β 2)n n = 0 = 2 + 16(x β 2) + 8(x β 2)2 + 20(x β 2)3 + (x β 2)4 [infinity] f n(2) n! (x β 2)n n = 0 = β2 β 16(x β 2) + 20(x β 2)2 + 8(x β 2)3 + (x β 2)4 find the associated radius of convergence r. r =
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Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.
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Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series...
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