Figure a below shows a uniform beam subject to a linearly increasing distributed load. As shown inFigure b, the deflection (y) at any x location along the length of the

beam can be computed using where E is the Young's modulus of the beam, and I is the beam's moment ofinertia. Use calculus todetermine the quantities below, and generate MATLAB plots of each quantity along the length of thebeam (from x = 0 to x = L). Use the “subplot" command in MATLAB to place all five plots in a singlefigure on the same page in order from 1 to 5. Be sure to label axes with the correct units. 1. displacement (y) 2. slope [Ax) = dy/dx] 3. moment [M(x) = Eld²y/dx²] 4. shear [V(x) = Eld'y/dx] 5. loading [w(x) = -Eldʻy/dx*] To create smooth plots, use the "linspace" function in MATLAB to perform the calculations at 100equally spaced points along the length of the beam. Use the following values for your calculations:L= 600 cm, E= 20,000 kN/cm?, I= 30,000 cm*, and wo = 2.5 kN/cm.