The equation that describes the elastic curve of a uniform beam subject to a linearly increasing distribution load (see the figure below) is: Wo (-x5 +21x-Lx) 120 E IL Given L-600 cm, E-50,000 kN/cm, 7-30,000 cm, and we 2.5 kN/cm, it is required to determine the maximum deflection in the beam The point of the maximum deflection is determined first by setting = 0 and solving for x. Then substituting this value in the equation above (v) gives the value of maximum deflection. a) Define the function y and its derivative df = using the @handle. b) Write the statements for plotting the functions y and dy in one (21) figure. e) Determine the position of the maximum deflection, Xan, using the Newton-Raphson method. Use the newtraph function, starting from xo-125. DORIND B=Ly=d d) Determine the position of the maximum deflection, xn, using the MATLAB finction fzero, starting from xo 125. e) Determine all roots of y(x) and its derivative by representing these functions as polynomials and using the MATLAB function roots. Identify the feasible roots