Pls, give the answer explanation. While question can be solved without Matlab, Matlab commands here just for help, it is not a requirement or something

[1) Consider the simple pendulum of length L under constant gravity 5?, [discussed in lectures). a} Let y be the vertical displacement. of the pendulum, above its equilibrium point, as shown in the diagram, Find yi'). (Hint, since 6' = i) at its equilibrium point, 3-1-3) = 0.) b) Show that the energy equation is '2 2 % (g) + mgl cot-16') = E. o) If the pendulum is released from rest at an angular displacement 6' = 00, what is a? Use this to construCt a simplied expression for g. d) Show that the time to complete one swing of the pendulum is given exactly by the integral I \"fss 5' -9\" VCDE-Cno do: 1 Hint: Recall from rnatthSl that = . ( dy g? l e) The integral obtained in part :1) cannot be computed exactly, but can be calculated numerically to any desired precision. Using Matlah, nd the period of one complete swing it gravity is 9.811134, 99 = 0.1 radians, and l = 111:. Compare this to the value obtained in lectures under the \"small angle" approxima- tion. Note: you may nd the following MATLAB commands useful: flht} 1.!5qrttooaix}-cos(0.1)}: integraLreault-integralif . -0 . 1 . 0. 1]