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zuberskylar
zuberskylar
23.11.2019 • 
Mathematics

Consider the following function. f(x) = x5/7, a = 1, n = 3, 0.7 ≤ x ≤ 1.3
(a) approximate f by a taylor polynomial with degree n at the number a. t3(x) = correct: your answer is correct.
(b) use taylor's inequality to estimate the accuracy of the approximation f(x) ≈ tn(x) when x lies in the given interval. (round your answer to eight decimal places.) |r3(x)| ≤ 0.7 incorrect: your answer is incorrect.
(c) check your result in part (b) by graphing |rn(x)|.

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