Page 4 - Setting Number I El l Problem 2 — Rootfinding...

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Unformatted text preview: / Setting Number: I El l Problem 2 — Rootfinding Concepts. (13 points) a) (7 points) Assuming f(x) = 0.1x2 ~ 33in(x), use the false position method to locate a root of f (x) starting from initial guesses of x1 = 2.0 and xu = 10.0. Iterate until the approximate percent error an falls below 25%. Record your iterations in the table below. Maintain four decimal places in all calculations. Iteration 1 19.16.01 N A N 2 wow H 93% \ ’/, -.- 4 I Suggestion: Set up a table to record all of your intermediate calculations so that you can keep track of all the information needed for each iteration. Q) XV : X”, W/ XL: 290 XV: '0’0 : 5W? Hm 4m} ‘ ”filz'm’d momma M: [0,0 ‘ ($6321 (“5) i : 1010,01 H“): ”‘15,” vi, , - a, u . 32” ll 63 flfii) (”,3 <0 3- Xuifl 3 [01501 XL: lab (6“ millet“ H m: :13qu WW WWWWWWWWWWWWW WW" """""" . r XL=I-D (at): ’ZeSH—‘l / l“: [0.1901 —- 17.?5I‘4[~‘Z'7601) 9Q; 'mm. m» woo ’Zrbl’r‘l — 1135M i'NW xv: m. 24?? gm; gym—10.2502 M00 10,0118 (m: 3591317. 4 Fall 2009 ...
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