Flow from a tank A cylindrical tank is full at time t = 0 when avalve in the bottom of the tank is opened. By Torricelli’s law, thevolume of water in the tank after t hours is V = 100(200 - t)2,measured in cubic meters.a. Graph the volume function. What is the volume of water in thetank before the valve is opened?b. How long does it take for the tank to empty?c. Find the rate at which water flows from the tank and plot theflow rate function.d. At what time is the magnitude of the flow rate a minimum? Amaximum?

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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.