Math Problem Statement

In the Method of False Position, what condition helps in selecting the sub-interval for the next iteration? * The sign of the function at the midpoint is positive The product of the function values at the endpoints must be negative The function value at the root guess must be zero The sign of the function at the root guess must match the sign of one endpoint

Solution

In the Method of False Position (also known as the Regula Falsi method), the condition that helps in selecting the sub-interval for the next iteration is:

The product of the function values at the endpoints must be negative.

Explanation:

  1. Method of False Position: This is an iterative method used to find the root of a function. It is based on the intermediate

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Math Problem Analysis

Mathematical Concepts

Numerical Methods
Root Finding

Formulas

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Theorems

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Suitable Grade Level

Grades 11-12

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