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)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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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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