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Bisection MethodApproximate the zero for the function f(x)=x^3+2x^2-3x-1 in the interval (1, 2) within an absolute tolerace of 10^-5.

False Position MethodApproximate the zero for the function f(x)=x^3+2x^2-3x-1 in the interval (1, 2)  within an absolute tolerace of 10^-5.

Secant MethodApproximate the zero for the function f(x)=x^3+2x^2-3x-1 in the interval (1, 2) within an absolute tolerace of 10^-5.

Newton's MethodApproximate the zero for the function f(x)=x^3+2x^2-3x-1 in the interval (1, 2) within an absolute tolerace of 10^-5.

Gauss-Jacobi Method : Solve the system of equations Ax=b with initial approximation [0, 0 , 0] upto 25  iterations, where  

Gauss-Seidel Method : Solve the system of equations Ax=b with initial approximation [0, 0 , 0] upto 25  iterations, where  

SOR Method (Successive Over-Relaxation) : Solve the system of equations Ax=b with initial approximation  [0, 0 , 0] upto 25 iterations, where  

Lagrange's Interpolation : Interpolate the polynomials for the following data 

and

Newton Interpolation : Interpolate the polynomials for the following data 

and

Doolittle Method : Compute LU Decomposition for the following matrices

Crout Method : Compute LU Decomposition for the following matrices

1/3 - Simpson's RuleClosed Newton-Cotes Formula for n=2 is known as 1/3 - Simpson's rule. Compute the  integration for the function f(x)=x^5+2x^4+x+1 from 1 to 2.

3/8 - Simpson's RuleClosed Newton-Cotes Formula for n=3 is known as 3/8 - Simpson's rule. Compute the  integration for the function f(x)=x^5+2x^4+x+1 from 1 to 2.

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