For the beam shown below, determine the vertical displacement at a distance of x = 11 ft along the beam, using the double integration method. Clearly identify the moment equation(s) being integrated, as well as your final answer for the magnitude and direction of the deflection. You may specify an alternate coordinate system than the one shown. Assume the beam has a constant Young's Modulus of E = 1800ksi. The beam has a varying Moment of Inertia, I, as shown. From x = 0ft to x = 6ft, I = 432inª, and from x = 6ft to x = 12ft, I = 128 inª