If a tank holds 5000 gallons of water, which drains from the bottom of the tank in

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If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli’s Law gives the volume V of water remaining in the tank after t minutes as

V = 5000(1 – ) 0 <t< 40

Find the rate at which water is draining from the tank after

(a) 5 min,

(b) 10 min,

(c) 20 min, and

(d) 40 min.

At what time is the water flowing out the fastest? The slowest? Summarize your findings.

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