4.8 The derivative of f(x) = 1/(1 – 3x) is given by %3D 6x (1 – 3x)? Do you expect to have difficulties evaluating this function at x = 0.577? Try it using 3- and 4-digit arithmetic with chopping.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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please I need help with both problems.

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4.8 The derivative of f(x) = 1/(1 – 3x) is given by
%3D
6x
(1 – 3x)?
|
Do you expect to have difficulties evaluating this function
at x = 0.577? Try it using 3- and 4-digit arithmetic with
chopping.
4.9 (a) Evaluate the polynomial
y=x' – 7x + 8x – 0.35
at x = 1.37. Use 3-digit arithmetic with chopping. Evaluate
the percent relative error.
(b) Repeat (a) but ex press y as
y= ((x– 7)x + 8)x – 0.35
Evaluate the error and compare with part (a),
Transcribed Image Text:4.8 The derivative of f(x) = 1/(1 – 3x) is given by %3D 6x (1 – 3x)? | Do you expect to have difficulties evaluating this function at x = 0.577? Try it using 3- and 4-digit arithmetic with chopping. 4.9 (a) Evaluate the polynomial y=x' – 7x + 8x – 0.35 at x = 1.37. Use 3-digit arithmetic with chopping. Evaluate the percent relative error. (b) Repeat (a) but ex press y as y= ((x– 7)x + 8)x – 0.35 Evaluate the error and compare with part (a),
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