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Braxton Pugh
2020-10-18
Answered

a) Evaluate the polynomial
$y={x}^{3}-7{x}^{2}+8x-0.35$

at$x=1.37$ . Use 3-digit arithmetic with chopping. Evaluate the percent relative error.
b) Repeat (a) but express y as
$y=((x-7)x+8)x-0.35$
Evaluate the error and compare with part (a).

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pattererX

Answered 2020-10-19
Author has **95** answers

(a)First determine the powers of x needed for evaluating the polynomial.

(x - 7)x = (1.37 - 7)(1.37)

=-7.7131 Chopping to 3 digit arithmetic yields,

Jeffrey Jordon

Answered 2021-10-13
Author has **2313** answers

First, we can calculate the true value of the polynomial

at point x=1.37

Using 3-digits with chopping we have to calculate separately

The relative percent error is equal to

b)

Polynomial p can be expressed in a different way:

Now we calculate

The relative percent error is equal to

Therefore, the second form of polynomial is better for evaluation.

Jeffrey Jordon

Answered 2022-01-23
Author has **2313** answers

Answer is given below (on video)

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