Use the Taylor polynomial for f(x) = sqrt(x) of degree 2 at point 100 to find an approximate value for sqrt(101). And then give an estimate of the inaccuracy of the value found. b) Justify whether the approximate value found in (a) is too large or too small compared to the real value of sqrt(101)

Use the Taylor polynomial for f(x) = sqrt(x) of degree 2 at point 100 to find an approximate value for sqrt(101). And then give an estimate of the inaccuracy of the value found. b) Justify whether the approximate value found in (a) is too large or too small compared to the real value of sqrt(101)

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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a) Use the Taylor polynomial for f(x) = sqrt(x) of degree 2 at point 100 to find an approximate value for sqrt(101). And then give an estimate of the inaccuracy of the value found.

b) Justify whether the approximate value found in (a) is too large or too small compared to the real value of sqrt(101)

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