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.
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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31d8c0da-0afe-462f-a649-f08d92368bb9%2Fb5dffd11-b86d-47a1-ac23-4be26edd1ee9%2Fm55iqb.jpeg&w=3840&q=75)
Transcribed Image Text: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.
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