If a tank holds 5500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as V = 5500 (1 − 1/50t)^2 0 ≤ t ≤ 50. Find the rate (in gal/min) at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min gal/min
(b) 10 min gal/min
(c) 20 min gal/min
(d) 50 min gal/min
a. At what time (in min) is the water flowing out the fastest?
b. At what time is the water flowing out the slowest?