Su94ex1 - order truncated series expansion to the estimate...

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Su 94 EGN 3420 EXAM 1 Name ______________________ Problem 1 (25 pts) Consider the function f(x) = x 1/3 - 2. Use the Bisection Method to estimate the root which is located between x=0 and x=10. Continue the iterations until the approximate relative error (in magnitude) is less than 10%. Round all calculations to the 4th place after the decimal point. Use the Newton-Raphson Method to estimate the root of the same function, starting at x=1. Continue until the true error (in magnitude) falls below 0.5. Round all calculations to the 4th place after the decimal point.

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Su 94 EGN 3420 EXAM 1 Name ______________________ Problem 2 (25 pts) Consider the function f(x) = e 2x . A) Estimate f(0.5) using the 1st, 2nd, 3rd and 4th order truncated Taylor Series Approximation expanded about x=0. B) Calculate the approximate relative error in going from an estimate based on the 3rd

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Unformatted text preview: order truncated series expansion to the estimate based on the 4th order truncated series expansion. C) Calculate the true relative error in the estimate based on the 4th order truncated series expansion. Su 94 EGN 3420 EXAM 1 Name ______________________ Problem 3 (25 pts) Solve the following system of equations using the inverse matrix in the solution. x + y + z = 6 2x-y-z =-3 5x + 4y-2z = 7 Su 94 EGN 3420 EXAM 1 Name ______________________ Problem 4 (25 pts) Solve the following system of equations by Gauss Elimination. Start with the augmented matrix and perform a series of elementary row operations on the matrix until the forward phase of the Gauss Elimination is complete. Finish the solution using back substitution. x 1 + 2x 2 + 3x 3 = 3 2x 1-9x 3 =-1 x 1 + 6x 2 + 6x 3 = 6...
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This note was uploaded on 06/09/2011 for the course EGM 4320 taught by Professor Klee during the Spring '11 term at University of Central Florida.

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Su94ex1 - order truncated series expansion to the estimate...

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