your best! 1. (Autumn 2018 Nichifor Midterm 2, Problem 3) A vat is of the shape shown below. The front and back of the vat are modeled by the curve y= x². The vat is of length 5 ft, height 4 ft, and it is partially filled with olive oil to a level 3 ft above the bottom. Oil weighs 50 lb/ft³. Set up (do not compute) an integral equal to the wo required to pump all the oil to the top of the vat. Draw a "slice" and indicate the main steps i your process of setting up the integral. 5 ft 3ft 4 ft 47