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Computational Methods Exam Prep

English 10 leveled MCQs Free

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Computational Methods Exam Prep

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5 marks Long answer

Perform four iteration of the Newton's Raphson method to obtain the approximate value of $(14)^{1/2}$ starting with the initial approximation $x_0=4$.

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Approximate value after 4 iterations is $3.74$.

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5 marks Long answer

Minimize $f(x) = x^2$ over $(-5, 15)$, $n=5$ by Fibonacci method.

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Minimum value is at $x=0$.

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5 marks Long answer

For the data | X: | -1 | 0 | 1 | 2 | find the estimate value of F(1.5).

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Estimated value of F(1.5) is $6.5$.

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5 marks Long answer

Using Lagrange interpolation, calculate the profit in the year 2000 from the given table | Year | 1997 | 1999 | 2001 | 2002 |.

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Profit in 2000 is approximately $100$ lakh.

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