2. If the function f(x) = cos x is approximated by a polynomial of degree 10 that interpolates f at 11 distinct points in the interval [0.1]. how large is the absolute error on this interval?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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aanswer part 2

2
be approximated by an interpolating polynomial of degree 9
X
with 10 nodes uniformly distributed in the interval [1,2]. What upper bound can be placed on
the absolute error?
1. Let the function f(x)=
=
2. If the function f(x) = cos x is approximated by a polynomial of degree 10 that interpolates
f at 11 distinct points in the interval [0.1]. how large is the absolute error on this interval?
Transcribed Image Text:2 be approximated by an interpolating polynomial of degree 9 X with 10 nodes uniformly distributed in the interval [1,2]. What upper bound can be placed on the absolute error? 1. Let the function f(x)= = 2. If the function f(x) = cos x is approximated by a polynomial of degree 10 that interpolates f at 11 distinct points in the interval [0.1]. how large is the absolute error on this interval?
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