Match the correct pairs : [Table: Numerical integration scheme -> Order of fitting polynomials. P. Simpson's 3/8 rule; Q. Trapezoidal rule; R. Simpson's 1/3 rule. Orders: 1. First order; 2. Second order; 3. Third order.]
- A. P - 2, Q - 1, R - 3
- B. P - 1, Q - 2, R - 3
- C. P - 3, Q - 2, R - 1
- D. P - 3, Q - 1, R - 2
Answer: D. P - 3, Q - 1, R - 2
Explanation: Simpson's 3/8 rule uses cubic polynomials (3rd order, P-3); Trapezoidal rule uses linear polynomials (1st order, Q-1); Simpson's 1/3 rule uses parabolic polynomials (2nd order, R-2). Thus, P-3, Q-1, R-2.