MA-201 - Numerical Techniques - Mathematics Assignment Help

Assignment Task

1. (a) Evaluate ?ⁿ[e^ax+b], h=1. (2)

(b) Find the function whose first difference is 9x ² + 11x + 5. (3)

2. Write closed Newton-Cotes formula with error for n=1, 2, 3 and then solve integral ∫ sin(x) dx π/4 for n=1, 2, 3 using these formulas. (5)

3. The following data are a part of a table for g(x) = sin(x) /x²

Calculate g(0.25) as accurately as possible using Newton forward difference formula (5)

(i) directly in this table
(ii) by first tabulating xg(x) and then interpolating in that table.
(iii) explain the difference between the results in (i) and (ii) respectively.

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