For this question, you will be required to use the binary search to find the root of some function ?(?)f(x) on the domain ?∈[?,?]x∈[a,b] by continuously bisecting the domain. In our case, the root of the function can be defined as the x-values where the function will return 0, i.e. ?(?)=0f(x)=0For example, for the function: ?(?)=???2(?)?2−2f(x)=sin2(x)x2−2 on the domain [0,2][0,2], the root can be found at ?≈1.43x≈1.43.ConstraintsStopping criteria: ||?(????)||<0.0001|f(root)|<0.0001 or you reach a maximum of 1000 iterations.Round your answer to two decimal places.Function specificationsArgument(s):f (function) →→ mathematical expression in the form of a lambda function.domain (tuple) →→ the domain of the function given a set of two integers.MAX (int) →→ the maximum number of iterations that will be performed by the function.Return:root (float) →→ return the root (rounded to two decimals) of the given function.

The objective is to write the code using binary search to find the root of some function on the…

Answered: For this question, you will be required…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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For this question, you will be required to use the binary search to find the root of some function ?(?)f(x) on the domain ?∈[?,?]x∈[a,b] by continuously bisecting the domain. In our case, the root of the function can be defined as the x-values where the function will return 0, i.e. ?(?)=0f(x)=0

For example, for the function: ?(?)=???2(?)?2−2f(x)=sin2(x)x2−2 on the domain [0,2][0,2], the root can be found at ?≈1.43x≈1.43.

Constraints

Stopping criteria: ||?(????)||<0.0001|f(root)|<0.0001 or you reach a maximum of 1000 iterations.
Round your answer to two decimal places.

Function specifications

Argument(s):

f (function) →→ mathematical expression in the form of a lambda function.
domain (tuple) →→ the domain of the function given a set of two integers.
MAX (int) →→ the maximum number of iterations that will be performed by the function.

Return:

root (float) →→ return the root (rounded to two decimals) of the given function.

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