Math Problem Statement

solve this with bisection for x0=0.1, 0.7 and 0.9 x.e^(x^2)-1=0 with a tolerance of 10^-4 with the iteration table

Solution

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Math Problem Analysis

Mathematical Concepts

Numerical Methods
Bisection Method
Exponential Functions

Formulas

f(x) = x * e^{x^2} - 1
Bisection method formula: x_{n+1} = (a_n + b_n) / 2

Theorems

Intermediate Value Theorem (used in the bisection method)

Suitable Grade Level

College Level (Numerical Methods)