Numerical analysis i UE Past Papers Questions.


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(326) Question Category: Mathematical Calculation

Solve the equation f(x)={x^3}-x-1=0, using the secant iteration method starting from x_{0}=1, x_{1}=2.

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(327) Question Category: Mathematical Calculation

Use the Lagrange interpolating polynomial to show that the three point forward dufference formula for approximatingf^{`}(x_{i-1}) is given byf^{`}(x_{i-1})approxfrac{(-y_{i+1}+4y_i-3y_{i-1})}{x_{i+1}-x_{i-1}}

assume that the three data points are evenly spaced.

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(328) Question Category: Mathematical Calculation

Find the positive root of tan(pi x)-6=0 in [0,0.48] using the method of falsi position five iterations.

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(329) Question Category: Mathematical Calculation

Find the root of the equation x^3-x^2=1, using iteration method (do 4 iteration)

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(330) Question Category: Mathematical Calculation

Using Newton`s method to find a positive real root of cos(x)-x^3=0 (do 5 iteration)

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