Using the data of the table below, apply Gregory-Newton's backward divided differences to interpolate the value of f(25.08). Evaluate the fifth-degree polynomial. 4 6.18 12.36 18.54 24.72 30.90 37.08 43.26 49.44 55.62 fi -0.1030 -0.2049 -0.3046 -0.4011 -0.4933 -0.5803 -0.6611 -0.7348 -0.8008

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A: Explanation of the solution is given below....

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Q: Compute f(10.25) for a given set of data below using: 1. Lagrange Interpolating Polynomial 2.…

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Q: 0.2 0.4 0.8 1.0 1.4 1.6 1.8 2.0 1.2 f(x) 1.000 0.916 0.836 0.0741 0.624 0.224 0.265 0.291 0.316…

A: Make Newton's divided difference table and use the divided difference formula to determine the…

Q: The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in the…

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Q: Q2: Construct the second order Lagrange interpolation polynomial for the function f (x) = In(x + 1)…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.