HW 9 - HOMEWORK ASSIGNMENT 9 EGM 3344 Interpolation &...

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HOMEWORK ASSIGNMENT 9 EGM 3344 Due: Monday, Nov. 29, 2010 Problems from Chapra book chapters 15 through 18 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. For problems in Chapter 15, you will frequently need to choose the best points to use for fitting a polynomial of specified degree. For example, if you are given 5 points ( x , y ) and asked to fit a cubic polynomial, you should chose the 4 points whose x values are closest to the value at which the interpolated result y is desired. Problem Approach Comments 15.10 Matlab Only fit third- and forth-degree interpolating polynomials, since you only have 5 points. Find the unknown coefficients by forming linear systems of equations Ax b = and solving for the coefficient vector x . Check your coefficient calculations using the built-in Matlab function polyfit , and evaluate the resulting polynomials at 2.1 using the built-in Matlab function
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HW 9 - HOMEWORK ASSIGNMENT 9 EGM 3344 Interpolation &...

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