If a tank holds 5000 gallons of water, which drains from thebottom of the tank in 40 minutes, then Torricelli’s Lawgives the volume V of water remaining in the tank after tminutes as V = 5000(1 -1/40t)2              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 whattime is the water flowing out the fastest? The slowest?Summarize your findings.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.