QUESTION 2 Consider the variational problem with Lagrangian function L(t, x, y, z, jc, y, z) = 32 - y2 + 22 +2teryz (2.1) Obtain the Euler-Lagrange equations ( Do NOT solve them). (9) (2.2) For this system (a) Construct the Hamiltonian function from L. (6) (b) Obtain the Hamilton's equations. (3 (c) Write down the Hamilton-Jacobi equation. (3 [21] [TURN OVER]