A trough 10 ft long with parabolic ends oft wide on top and 8ft high is filled with liquid of specific weight w lb/cuft to a depth of 6 ft. To solve for the work done to pump all the liquid to a level 4 ft above the top of the trough, find the expression for displacement h and the differential dV. Put the x-axis along the vertex of the parabola. 0 8-y , 15vydy O 12 - y : 9ary dy 8 O 12 -y , 15\\/2ydy 0 8-y . gay dy 8