Convergence and computation time

Initial guessx1=0andx2=1 \text{Initial guess} \quad x1 = 0 \quad and \quad x2 = 1 x3=x1+x22 x3 = \frac{x1 + x2}{2} equation =exp(x)×cos(x)1.4\text{equation } = exp(x) × cos(x) -1.4 What is function value of 8th iteration using bisection method?\text{What is function value of 8th iteration using bisection method?}
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Initial guessx1=0andx2=1 \text{Initial guess} \quad x1 = 0 \quad and \quad x2 = 1 x3=x1+x22 x3 = \frac{x1 + x2}{2} equation =exp(x)×cos(x)1.4\text{equation } = exp(x) × cos(x) -1.4 What is root value of 8th iteration using bisection method?\text{What is root value of 8th iteration using bisection method?}
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Initial guessx1=0andx2=1 \text{Initial guess} \quad x1 = 0 \quad and \quad x2 = 1 x3=x1f(x1)×((x2x1)(f(x2)f(x1))) x3 = x1 - f(x1) × \left(\frac{(x2 - x1)}{(f(x2) - f(x1))}\right) equation =cos(x)x×exp(x)\text{equation } = cos(x)-x × exp(x) What is function value of 6th iteration using false position method?\text{What is function value of 6th iteration using false position method?}
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Initial guessx1=0andx2=1 \text{Initial guess} \quad x1 = 0 \quad and \quad x2 = 1 x3=x1f(x1)×((x2x1)(f(x2)f(x1))) x3 = x1 - f(x1) × \left(\frac{(x2 - x1)}{(f(x2) - f(x1))}\right) equation =cos(x)x×exp(x)\text{equation } = cos(x)-x × exp(x) What is root value of 6th iteration using false position method?\text{What is root value of 6th iteration using false position method?}
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Initial guessx1=1 \text{Initial guess} \quad x1 = 1 x2=x1f(x1)df(x1) x2 = x1 - \frac{f(x1)}{df(x1)} equation =x2cos(x)\text{equation } = x^2-cos(x) df(x)=2x+sin(x) df(x) = 2x + sin(x) What is function value of 3rd iteration using Newton Raphson method?\text{What is function value of 3rd iteration using Newton Raphson method?}
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Initial guessx1=1 \text{Initial guess} \quad x1 = 1 x2=x1f(x1)df(x1) x2 = x1 - \frac{f(x1)}{df(x1)} equation =x2cos(x)\text{equation } = x^2-cos(x) df(x)=2x+sin(x) df(x) = 2x + sin(x) What is root value of 3rd iteration using Newton Raphson method?\text{What is root value of 3rd iteration using Newton Raphson method?}
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Initial guessx1=1 \text{Initial guess} \quad x1 = 1 x2=g(x1) x2 = g(x1) equation =cos(x)x×exp(x)\text{equation } = cos(x) - x × exp(x) g(x)=cos(x)exp(x) g(x) = \frac{cos(x)}{exp(x)} What is function value of 6th iteration using one point iterative method?\text{What is function value of 6th iteration using one point iterative method?}
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Initial guessx1=1 \text{Initial guess} \quad x1 = 1 x2=g(x1) x2 = g(x1) equation =cos(x)x×exp(x)\text{equation } = cos(x) - x × exp(x) g(x)=cos(x)exp(x) g(x) = \frac{cos(x)}{exp(x)} What is root value of 6th iteration using one point iterative method?\text{What is root value of 6th iteration using one point iterative method?}
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