Draining a tank (Torricelli’s law) A cylindrical tank with a cross-sectional area of 10 m2 is filled to a depth of 25 m with water. At t = 0 s, a drain in the bottom of the tank with an area of 1 m2 is opened, allowing water to flow out of the tank. The depth of water in the tank (in meters) at time t Ú 0 is d1t2=15 - 0.22t22. a. Check that d102= 25, as specified. b. At what time is the tank empty? c. What is an appropriate domain for d?

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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.