The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet. 2 -2 x = 1 + y x = 1+ y2 y = 0, and y = 3 The length of the beam is / = 40 feet (see figure). -3 -2 -1 2 1 ft 2 + 3 x (a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.) V = W ft x lb Enter a number. (b) Find the centroid of a cross section of the beam. (Round your answers to two decimal places.) (x, y) = (