Newton Divided Difference Interpolatory Polynomial

We are being asked to use the Newton Divided Difference Interpolatory Polynomial to approximate the equation attached at various nodes.

Numerical Integration in Maple

Hi Yinon, Please see the attached file.

Estimating Derivatives : Forward Difference, Central Difference and Extrapolation

The attached Word document contains all three requested solutions. The problems employ Forward Difference and Central Difference formulas to estimate f'(x) and f''(x). Please see the attached file for the fully formatted problems.

Numerical Analysis - In order to construct an interpolating polynomial for a function

Please see the attached file.

Numerical Analysis : Maple Programming of Diff Equations

Hello Yinon, I attached the Program tasks. My best regards!

Numerical Analysis : Differential Equations

Hi Yinon, Please see the attached file.

Partial Pivoting

Please see the attached file. Your assistance is most appreciated.

Gaussian Elimination

Please see the attached file. Solve the system of equations. Use Gaussian elimination. Find the Doolittle LU decomposition of H5 with scaled partial pivoting.

Doolittle LU decomposition : Linear Programming

Linear programming problems that involve Doolittle LU decomposition. Problem (1) is attached.

Legendre polynomial least square approximation

Using Legendre polynomials of degree 1, 2, and 3, find the least-squares approximation for the function e^(−x) on [2, 4]. I am confused as to how to do this on the interval [2,4] and not [-1,1] I have included the notes on this section, including an example.