Consider the following function. f (x) = 1/x, a = 1, n = 2, 0.6 ≤ x ≤ 1.4 (a) Approximate f by a Taylor polynomial with degree n at the number a. T2 (x) = (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.) |R2 (x) | ≤ 7.71604938 Incorrect: Your answer is incorrect. (c) Check your result in part (b) by graphing |Rn (x) |.

Question

Mathematics

Abigail Vasquez

25 October, 15:47

Consider the following function. f (x) = 1/x, a = 1, n = 2, 0.6 ≤ x ≤ 1.4 (a) Approximate f by a Taylor polynomial with degree n at the number a. T2 (x) = (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.) |R2 (x) | ≤ 7.71604938 Incorrect: Your answer is incorrect. (c) Check your result in part (b) by graphing |Rn (x) |.

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Answers (1)

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Isiah · Answer 1

y - 1 = 0

Step-by-step explanation:

move constant to the left by adding its opposite to both sides y - 1 = 1 - 1

the sum two opposites equals 0

y = 1