sider the following function. F(2) = [ P . (a) Use the Maclaurin expansion for e-t to express the function F(x) as an alternating power series in x. Your work must include using the Maclaurin series for et to create a series for e-t and then integration from 0 to x. Σ F(x) = n = 0 (b) Find an N such that the partial sum SN of the Maclaurin series approximates the integral for x = 1.5 to within an error of at most 0.001. Work must including using the alternating remainder theorem to find the partial sum N and the error term N+1. N = (c) Compute SN using the N found above. (Round your answer to six decimal places.) SN =

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.