An ice cube has a side length of 5 cm. The ice cube is melting, and the formula is given as V = (5 – 0.5t)^3, where V is the volume in cubic centimeters, and t is the time in minutes.   What is the Volume of the cube at 3 minutes?           What is the average rate of change in the first 3 minutes?        What is the instantaneous rate of change at exactly 3 minutes?

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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.