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e. S. 1. Question # 1: Consider the function f(x)= xe. In the following, the interpolating polynomial, p.(x), is computed by using Taylor expansion. To do so, do the following tasks: Find the values of a, a,, a, if the function is interpolated by degree three polynomial p.(x). Compute: f(0.1) and p3(0.1) up to seven significant figures. Find the percent error for interpolating f(x) by p.(x).

e. S. 1. Question # 1: Consider the function f(x)= xe. In the following, the interpolating polynomial, p.(x), is computed by using Taylor expansion. To do so, do the following tasks: Find the values of a, a,, a, if the function is interpolated by degree three polynomial p.(x). Compute: f(0.1) and p3(0.1) up to seven significant figures. Find the percent error for interpolating f(x) by p.(x).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. 3. 4. Question # 1: Consider the function f(x)= x e. In the following, the interpolating polynomial, p.(x), is computed by using Taylor expansion. To do so, do the following tasks: Find the values of a., a₁, , as if the function is interpolated by degree three polynomial p.(x). Compute: f(0.1) and p3(0.1) up to seven significant figures. Find the percent error for interpolating f(x) by p.(x).
Transcribed Image Text:2. 3. 4. Question # 1: Consider the function f(x)= x e. In the following, the interpolating polynomial, p.(x), is computed by using Taylor expansion. To do so, do the following tasks: Find the values of a., a₁, , as if the function is interpolated by degree three polynomial p.(x). Compute: f(0.1) and p3(0.1) up to seven significant figures. Find the percent error for interpolating f(x) by p.(x).
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