(5) Figure 2 shows a uniform beam subject to a linearly increasing distributed load. The equation for the resulting elastic curve is Wo 120 EIL -(-x+2L²x³-L*x) where L=600 cm, E = 50,000 kN/cm², I = 30,000 cm, and wo=5 2.5 kN/cm. x=0y=0 101 101 == Figure 2: Problem 5 (a) Determine the approximate point of maximum deflection graphically by plotting this function. (b) Use a root finding method in MATLAB to determine the point of maximum deflection (i.e., the value of x where dy/dx = 0). Then substitute this value into the equation above to determine the value of the maximum deflection. (c) Determine the point of maximum deflection using the MATLAB goldmin function until the approximate error falls below, 1% with initial guesses of r = 0 and = L. Compare your predictions with those of Parts (a) and (b).