The volume of water, V litres, in a bath t minutes after the plug is removed is given by V = 0.4(8-t)^3 , 0 ≤ t ≤8. A. At what rate is the water leaving the bath after 3 minutes? B. What is the avergae rate of change of the volume for the first 3 minutes? C. When is the rate of water leaving the bath the greatest?

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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.