Mathematics

Mathematics, 29.07.2019 17:10, Aysha1311

Consider the following function. f(x) = x ln 8x, a = 1, n = 3, 0.7 ≤ x ≤ 1.3 (a) approximate f by a taylor polynomial with degree n at the number a. (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 four decimal places.)

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Mathematics, 27.07.2019 06:10, angelinailiff8531

Consider the following function. f(x) = sinh 2x, a = 0, n = 5, −0.7 ≤ x ≤ 0.7 (a) approximate f by a taylor polynomial with degree n at the number a. t5(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 four decimal places.) |r5(x)| ≤

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Mathematics, 01.08.2019 06:10, lizzyhearts

This problem asks for taylor polynomials for f(x) = ln(1 + x) centered at a = 0. show your work in an organized way. (a) find the 4th, 5th, and 6th degree taylor polynomials for f(x) = ln(1 + x) centered at a = 0. (b) find the nth degree taylor polynomial for f(x) centered at a = 0, written in expanded form. (c) find the nth degree taylor polynomial for f(x) centered at a = 0, written in sigma (summation) notation. (d) use the 7th degree taylor polynomial to estimate ln(2). (e) compare your answer to the estimate for ln(2) given by your calculator. how accurate were you? (f) looking at the taylor polynomials, explain why this estimate is less accurate than the estimate you found for sin(3°) in problem 6 of homework 10. (in that problem, you were asked to use a 7th degree taylor polynomial centered at a = 0 for sin(x) to approximate sin(3°

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Mathematics, 09.08.2019 19:20, kaidee

Consider the following function. f(x) = sin(x), a = π/6, n = 4, 0 ≤ x ≤ π/3 (a) approximate f by a taylor polynomial with degree n at the number a. t4(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 six decimal places.) |r4(x)| ≤

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Mathematics, 22.08.2019 16:10, cdavis379

Consider the following function. f(x) = x3/5, 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) = 3 5 (x−1)− 3 25 (x−1)2+ 7(x−1)3 125 +1 (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)| ≤

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Consider the following function. f(x) = x ln 8x, a = 1, n = 3, 0.7 ≤ x ≤ 1.3 (a) approximate f by a...

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