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Match the application to appropriate numerical method.

$\begin{array}{ll} \underline{\text{Application}}  & \underline{\text{Numerical} \mid \text{Method}} \\ \text{P1: Numerical integration} & \text{M1: Newton-Raphson Method} \\ \text{P2: Solution to a transcendental equation} & \text{M2: Runge-Kutta Method} \\ \text{P3: Solution to a system of linear equations} & \text{M3: Simpson’s 1/3-rule} \\ \text{P4: Solution to a differential equation} & \text{M4: Gauss Elimination Method} \end{array}$

  1. $P1-M3,P2-M2,P3-M4,P4-M1$
  2. $P1-M3,P2-M1,P3-M4,P4-M2$
  3. $P1-M4,P2-M1,P3-M3,P4-M2$
  4. $P1-M2,P2-M1,P3-M3,P4-M4$
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