Changing cylinder The volume of a right circular cylinder with radius r and height h is V = πr2h.a. Assume r and h are functions of t. Find V(t).b. Suppose r = et and h = e-2t, for t ≥ 0. Use part (a) to find V(t).c. Does the volume of the cylinder in part (b) increase or decrease as t increases?

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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.