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?

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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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