Acylindrical tank with a cross-sectional area of 100cm^2 is filled to a depth of 100 cm with water. at t=0, a drain in the bottom of the tank with an area of 10cm^2 is opened allowing water to flow out of the tank. the depth of water in the tank at time t\geq 0 is (t)=(10-2.2t)^2 . (5 pts.)
(a) check that d (0)=100, as specified.
(b) what is an appropriate domain for d?
(c) at what time is the tank first empty?