answer 3 3. If we interpolate the function f(x)=e¹ with a polynomial p of degree 18 using 19nodes in [1.2]. what is a good upper bound for f(x)- p(x) on [1,2]?4. Let the function f(x)= In= ¹ (²-) be approximated by an interpolating polynomial of degree12 with the nodes equally spaced in the interval [1.3]. what bound can be placed on theabsolute error?

The given function is fx=ex-1. Now we need to find the upper bounds for interpolating polynomial px…

Answered: 3. If we interpolate the function…

3. If we interpolate the function f(x)=e¹ with a polynomial p of degree 18 using 19 nodes in [1,2]. what is a good upper bound for f(x)- p(x) on [1,2]?

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

Problem 1CR

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answer 3

3. If we interpolate the function f(x)=e¹ with a polynomial p of degree 18 using 19
nodes in [1.2]. what is a good upper bound for f(x)- p(x) on [1,2]?
4. Let the function f(x)= In
= ¹ (²-) be approximated by an interpolating polynomial of degree
12 with the nodes equally spaced in the interval [1.3]. what bound can be placed on the
absolute error?

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