Assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is V = Tr and its surface area is 4ar. Determine the rate at which the volume is changing with respect to time when r = 15 cm. (Use symbolic notation and fractions where needed.) dV cm³/min dt

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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.