Campus Book: Numerical Analysis | Bicte Note | Fourth Semester \ Previous Year Question

2080

Here are the answers to the questions :

1. The percentage error occurred when we use 3.33 instead of 10/3 is equal to:
- b. 1%

2. To find the roots of \( f(x) = 0 \) by using Newton's Raphson method, we must have:
- c. \( f(a)f(b) \le 0 \)

3. Which of the following is NOT a method of solving Simultaneous Equations?
- a. false position

4. Which of the following is true for the difference of polynomial?
- b. \( \Delta y_n = y_{n+1} - y_n \)

5. The effect of error ... with the order of the difference of polynomial.
- a. increases

6. The strategy of interpolation to connect the data points with a straight line is called ... interpolation.
- b. linear

7. Which of the following is true for the second-order forward difference?
- a. \( \Delta^2 y_n = y_{n+2} - 2y_{n+1} + y_n \)

8. Which differential operator has a value in the table with \( \Delta \)?
- a. \( E \)

9. The general quadrature formula gives Simpson's 3/8 rule if we put the value of \( n \):
- c. \( n = 3 \)

10. Which of the following numerical integration formulas is appropriate for any number of sub-intervals of range?
- d. Trapezoidal rule