Question: A cylindrical 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 0is
t ≥ 0 is (t)=(10 - 2.2t)2.
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?