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Numerical Method207510 marksNumerical: secant method root findingSecant method and Convergence

What is non-linear equation? Derive the required expression to calculate the root of non-linear equation using secant method. Using this expression find a root of following equation.

What is non-linear equation? Derive the required expression to calculate the root of non-linear equation using secant method. Using this expression find a root of following equation.

$$x^2 + \cos(x) - e^{-x} - 2 = 0$$

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A non-linear equation is an equation $f(x)=0$ in which the unknown appears in a degree higher than one, or inside transcendental functions (trigonometric, exponential, logarithmic). Its graph is not a straight line, and it generally cannot be solved by direct algebraic manipulation, so iterative ...

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