HW_06-10-F - 1. 2. 4. Fit cubic splines to the following...

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ChE 348 Homework # 6 _____________________________________Due: DO NOT TURN IN, for practice only 3. Given the data x 1 2 3 5 7 8 f(x) 3 6 19 99 291 444 Calculate f(4) using Lagrange polynomials of order 1 through 3 ( by hand) . Choose your base points to attain good accuracy. What do your results indicate regarding the order of the polynomial used to generate the data in the table.
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Unformatted text preview: 1. 2. 4. Fit cubic splines to the following data ( by hand ). x 3.0 4.5 7.0 9.0 f(x) 2.5 1.0 2.5 0.5 7. Employ inverse interpolation using a cubic interpolating polynomial and secant method to determine the value of x that corresponds to f(x) = 0.23 for the following tabulated data: x 2 3 4 5 6 7 f(x) 0.5 0.33 0.25 0.2 1.67 0.14 5. 6....
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This note was uploaded on 11/28/2010 for the course CHE 348 taught by Professor Chelikowsky during the Spring '08 term at University of Texas at Austin.

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HW_06-10-F - 1. 2. 4. Fit cubic splines to the following...

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