f(x) = 1° + 2z" – 32* – 423 – 5² + 6x + 7 -1.35 in the 6-digit floa ting point arithmetic (FPA6). In gach case the results of your calculations have to ao an-2 abn-1 b-2 ... an-1 abn ba-1 ak an abi ab2 bo ... b b.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Numerical analysis & it's application.

Q1

1. (Horner's Method). Use H or ner 's method to evalua te the polynomial
f(z) = 16 + 2r – 324 – 423 – 5a2 + 6z + 7
at a = 1.35 a nd at a = -1.35 in the 6-digit floa ting point a rit hmetic (FPA6). In each case the results of your calculations have to be presented in
a standard table
an
an-1
an-2
ao
...
abn-1
abn
b-1
abz
abi
b
b1
bo
for the method.
(Your an swers to the problem should therefore consist of two tables of the a bove form followed by, in each ca se, a conclusion regarding t he result
of the evalua tion of the polynomial in the FPA6-)
Transcribed Image Text:1. (Horner's Method). Use H or ner 's method to evalua te the polynomial f(z) = 16 + 2r – 324 – 423 – 5a2 + 6z + 7 at a = 1.35 a nd at a = -1.35 in the 6-digit floa ting point a rit hmetic (FPA6). In each case the results of your calculations have to be presented in a standard table an an-1 an-2 ao ... abn-1 abn b-1 abz abi b b1 bo for the method. (Your an swers to the problem should therefore consist of two tables of the a bove form followed by, in each ca se, a conclusion regarding t he result of the evalua tion of the polynomial in the FPA6-)
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