i) By seeing the equation f(x) = x³ – 4x – 9 = 0 , Arwa says that it has a root between 2 and 3. Check whether her guess is correct or not. ii) Setting up Bisection method in a math software Arwa found approximations of a solution of the equation f(x) = x³ – 4x – 9 = 0 ,in the interval [2,3]. Write down the first four approximations, she did for the solution between 2 and 3. iii) In a computational problem of mathematical analysis, the number a is approximated with the relative error at most 10-6. Find the largest interval in which the approximation must lie.

i) By seeing the equation f(x) = x³ – 4x – 9 = 0 , Arwa says that it has a root between 2 and 3. Check whether her guess is correct or not. ii) Setting up Bisection method in a math software Arwa found approximations of a solution of the equation f(x) = x³ – 4x – 9 = 0 ,in the interval [2,3]. Write down the first four approximations, she did for the solution between 2 and 3. iii) In a computational problem of mathematical analysis, the number a is approximated with the relative error at most 10-6. Find the largest interval in which the approximation must lie.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 1DE

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