Sp96ex1 - 2 and fill in the table below. Stop when e A <...

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EGN 3420 EXAM I Sp 96 Problem 1 (50 pts) The function f(x) = x 4 - 100 has a root located between 0 and 5. Fill in the tables below for the first three iterations of the Bisection Method and the False Position method. Express all answers rounded to four digits after the decimal point. Iteration x l x u x r f(x l ) f(x r ) e A , % 1 2.0000 5.0000 2 3 Bisection Method Iteration x l x u x r f(x l ) f(x u ) f(x r ) e A , % 1 2.0000 5.0000 2 3 False Position Method
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EGN 3420 EXAM I Sp 96 Problem 2 (50 pts) Consider the function f(x) = x 3 + x - 10. A) Use the Simple One Point Iteration Method with g(x) = (10-x)/x
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Unformatted text preview: 2 and fill in the table below. Stop when e A < 1% or i>3 whichever occurs first. In the column for E T , R is the true root of f(x) = 0 which you should be able to determine. Round all answers to 4 places after the decimal point for both Parts A) and B). i x i E T = R-x i e A ,% 1.9500 1 2 3 B) Use the Newton-Raphson Method and fill in the table below. i x i f(x i ) f’(x i ) 0.0000 1 2...
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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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Sp96ex1 - 2 and fill in the table below. Stop when e A <...

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