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1., Use zero-through third-order Taylor series expansions to predict (3) for fix)=25x³-6²+7x+88 using a base point at x = 1. Compute the true percent relative error e, for each approximation. =3-1=2 Record your result on the table. Order 0 1 2 3 Value

1., Use zero-through third-order Taylor series expansions to predict (3) for fix)=25x³-6²+7x+88 using a base point at x = 1. Compute the true percent relative error e, for each approximation. =3-1=2 Record your result on the table. Order 0 1 2 3 Value

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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Numerical Methods

1. Use zero-through third-order Taylor series expansions to predict (3) for fix)=25x³-6x² + 7x+88 using a base point at x = 1. Compute the true percent relative error &, for each approximation. h = 3-1=2 Record your result on the table. 2.. Use zero-through third-order Taylor series expansions to estimate f(x) = e-* using a base point at x = 1 for x = 0.2. Compute the true percent relative error E, for each approximation. A = 0.8 Record your result on the table. Order 0 1 2 3 Order 0 1 2 3 Value Value E₁ E₁
Transcribed Image Text:1. Use zero-through third-order Taylor series expansions to predict (3) for fix)=25x³-6x² + 7x+88 using a base point at x = 1. Compute the true percent relative error &, for each approximation. h = 3-1=2 Record your result on the table. 2.. Use zero-through third-order Taylor series expansions to estimate f(x) = e-* using a base point at x = 1 for x = 0.2. Compute the true percent relative error E, for each approximation. A = 0.8 Record your result on the table. Order 0 1 2 3 Order 0 1 2 3 Value Value E₁ E₁
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