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HW3 - HOMEWORK ASSIGNMENT 3 EGM 3344 Numerical Errors root...

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HOMEWORK ASSIGNMENT 3 EGM 3344 Numerical Errors & root finding Due: Friday, Sept. 24 Problems from Chapra book chapter 4 For all of these problems, feel free to use a simple Matlab program to calculate function values (like using a calculator) when the indicated approach is by hand. Problem Approach Comments 4.1 Hand Hint: First number is an integer, second number is a floating point. Write out solution equation by hand. Do calculations in Matlab if desired. 4.3 Matlab Name your Matlab program macheps.m 4.4 Matlab Skip the challenge question. 4.7 Hand Only do 3-digit arithmetic part. Write out all equations by hand and use Matlab or calculator for intermediate results. Chopping means truncate to only 3 digits after each intermediate calculation step. 4.12 Hand 4.15 Matlab Evaluate the remainder term in the Taylor series at x = 2 to estimate t E 4.21 Matlab Study the code on pp.105-106. S1 hand See problem and notes below this table. S1. (Nested form) Evaluate f(x) = x 3 - 7.5x 2 + 11.2x + 2.8 = ((x - 7.5)x + l l.2)x + 2.8 at x = 3.94 using 3 significant (3S) arithmetic and rounding, in both of the given forms. The latter, called the nested form, is usually preferable since it minimizes the number of operations and thus the effect of rounding.
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