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?
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?
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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Question
aanswer part 2
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa41a264b-8aa9-4f3c-9fa6-3aeb660fb004%2F81eca27e-fa14-4db9-a9aa-29643bc83e18%2Fnjx2yso_processed.jpeg&w=3840&q=75)
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?
Expert Solution
Introduction
As per the question we are given the function f(x) = cos(x) which is approximated by a polynomial of degree 10 (p10) which interpolates f(x) at 11 distinct points in the interval [0, 1]
Now we have to find out the maximum possible absolute error on that interval i.e.
maxx ∈ [0, 1] |f(x) - p10(x)|
Step by step
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