Find the solution of the difference equation the particular solution when
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Find the minimum number of intervals required to evaluate with an accuracy of
by using the Trapezoidal rule.
Consider the following data
| x | 1.0 | 1.3 | 1.6 | 1.9 | 2.2 |
| f(x | 0.7651977 | 0.6200860 | 0.4554022 | 0.2818186 | 0.110362 |
Use Stirling’s formula to approximate
Solve the following linear system Ax = b of equations with partial pivoting
Store the multipliers and also write the pivoting vectors.
The solution of the system of equations is attempted by the Gauss
Jacobi and Gauss Seidel iteration schemes. Set up the two schemes in matrix form. Will the iteration schemes converge? Justify your answer.
From the following table, find the number of students who obtained less than 45 marks.
| Marks | No. of Students |
| 30-40 | 31 |
| 40-50 | 42 |
| 50-60 | 51 |
| 60-70 | 35 |
| 70-80 | 31 |
Take 10 figure logarithm to base 10 from by unit increment. Calculate the first derivative of log
Determine the spacing h in a table of equally spaced values for the function
so that the quadratic interpolation in this table satisfies