(a) The Maclaurin series Show that E 0 = 1, E 2 = -1, E 4 =...

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(a) The Maclaurin series

image Show that E0 = 1, E2 = -1, E4 = 5, E6 = -61. Write a program that computes the E2n from the coefficient formula in (1) or extracts them as a list from the series.

(b) The Maclaurin series

imageUsing undetermined coefficients, show that

image

Write a program for computing Bn.

(c) Using (1), (2), Sec. 13.6, and (22), show that tan z has the following Maclaurin series and calculate from it a table of B0, · · ·, B20:

image

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