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What do you mean by approximation of a function by a Taylor’s series? Find the Taylor polynomial of degree 2, T2(x) for f(x)=1/(2+x) centered at x0 = 0.

MCQ Question: "What do you mean by approximation of a function by a Taylor’s series? Find the Taylor polynomial of degree 2, T2(x) for f(x)=1/(2+x) centered at x0 = 0. "

Give definition of numerical analysis.

MCQ Question: "Give definition of numerical analysis. "

Find the relative error, absolute error and percentage error, if 2/3 is approximated to 0.6667.

MCQ Question: "Find the relative error, absolute error and percentage error, if 2/3 is approximated to 0.6667."

What is the order of convergence of Secant Method ?

MCQ Question: "What is the order of convergence of Secant Method ? "

What is meant by numerical integration ?

MCQ Question: "What is meant by numerical integration ? "

What is the relation between Divided Differences and Forward Differences in interpolation ?

MCQ Question: "What is the relation between Divided Differences and Forward Differences in interpolation ? "

Given :

MCQ Question: "Given : "

Evaluate the value of integral l ∫[0 to 1] x * 1/(1 + x^2) dx using Simpson's rule with three and six points.

MCQ Question: "Evaluate the value of integral l ∫[0 to 1] x * 1/(1 + x^2) dx using Simpson's rule with three and six points. "

Use the bisection method to approximate the value of √3 given that it lies in the interval [1,2].

MCQ Question: "Use the bisection method to approximate the value of √3 given that it lies in the interval [1,2]."

Solve the following system of linear simultaneous equations by Gauss-Elimination method :

MCQ Question: "Solve the following system of linear simultaneous equations by Gauss-Elimination method : "