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Unformatted text preview: EGR 102 of 3 pages Lecture 09 HW 1 EGR 102 Lecture 09 HW Due at beginning of lecture on Friday, March 23 3 Problems, 24 Points Total Name: Solution PID: Lab Section #: Problem 1 (2 parts, 4 pts each = 8 pts total) : Use 5 iterations of NewtonRaphson to determine a root of the equation: ƒ( x ) = – x 2 + 1.8 x + 2.5 using x = 5 a. Use MATLAB to plot the equation. Print and attach your properly annotated plot. b. Use the NewtonRaphson method to solve manually. Express your answers to 6 decimal places. Show all work. 8 . 1 2 5 . 2 8 . 1 2 1 i i i i i x x x x x i x i f ( x ) f '( x ) a 0 513.58.2 1 3.3536592.710444.90732 49.09% 2 2.8013320.305063.80266 19.72% 3 2.7211080.006443.64222 2.95% 4 2.7193413.1E063.63868 0.06% 5 2.7193417.4E133.63868 0.00%642 2 4 6642 2 4 6 x y y=x 2 +1.8 x+2.5 EGR 102 of 3 pages Lecture 09 HW 2 Problem 2 (2 parts, 4 pts each = 8 pts total) : Use 3 iterations of NewtonRaphson to determine the highest root of the equation:...
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This note was uploaded on 04/02/2012 for the course EGR 100 taught by Professor Hinds during the Fall '08 term at Michigan State University.
 Fall '08
 HINDS

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