Question # 3: A function f (x) = 3x +12x- 20 has a root in the interval [0, 2]. Now, answer the following:1.Find the approximate root using Interval Bisection Method up to three iterations.2:* If the actual root is x, = 1.2165, calculate the percent error of the approximate result found in the previous part.3 . 7 If the machine epsilon of the system is 1.6 x 10-8 how many iterations are needed to find the root.

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Description: Question # 3: A function f (x) = 3x +12x- 20 has a root in the interval [0, 2]. Now, answer the following:1.Find the approximate root using Interval Bisection Method up to three iterations.2:* If the actual root is x, = 1.2165, calculate the percent

fx=3x3+12x-20f1=3+12-20=-5<0f2=323+122-20f2=24+24-20f2=28>0 So, the root lies between 1 and 2

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Question # 3: A function f (x) = 3x + 12x- 20 has a root in the interval [0, 2]. Now, answer the following: 1. Find the approximate root using Interval Bisection Method up to three iterations. 2: *If the actual root is r, = 1.2165, calculate the percent error of the approximate result found in the previous part. 3 .? 7 If the machine epsilon of the system is 1.6 x 10-8 how many iterations are needed to find the root.

Question # 3: A function f (x) = 3x + 12x- 20 has a root in the interval [0, 2]. Now, answer the following: 1. Find the approximate root using Interval Bisection Method up to three iterations. 2: *If the actual root is r, = 1.2165, calculate the percent error of the approximate result found in the previous part. 3 .? 7 If the machine epsilon of the system is 1.6 x 10-8 how many iterations are needed to find the root.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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