Virtual Labs

Chemical Engineering Numerical Methods - Optimization Experiments

Finding Minima Using Bisection Method

\text{Initial guess} \quad x1 = 0 \quad and \quad x2 = 1

x3 = \frac{x1 + x2}{2}

\text{equation } = exp(x) × cos(x) -1.4

\text{What is function value of 8th iteration using bisection method?}

a: -0.00292 Explanation

Explanation

b: 0.00295 Explanation

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c: 0.00002 Explanation

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d: -0.00145 Explanation

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\text{Initial guess} \quad x1 = 0 \quad and \quad x2 = 1

x3 = \frac{x1 + x2}{2}

\text{equation } = exp(x) × cos(x) -1.4

\text{What is root value of 8th iteration using bisection method?}

a: 0.43359 Explanation

Explanation

b: 0.40625 Explanation

Explanation

c: 0.42969 Explanation

Explanation

d: 0.43164 Explanation

Explanation