Question

Consider the function, ? (?) = 19x^4 + 23x^3 - 20x, Use zero-to-fourth-degree approximation to predict...

Consider the function, ? (?) = 19x^4 + 23x^3 - 20x, Use zero-to-fourth-degree approximation to predict ? (5) using as a base point ? = 3. Compute the relative true percentage error ?? for each approximation. Briefly discuss your results, provide a brief narrative (5 pts.).

Homework Answers

Answer #1

We note that means

and higher order derivatives are zero

So that

are the zero to fourth order approximations

With we get the table of true errors as:

n T_n(5) error
0 2100 -86%
1 12712 -13%
2 17644 20%
3 18648 27%
4 18954 29%

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