Let V represent the volume of a sphere with radius r mm. Write an equation for V (in mm3) in terms of r. V(r) = mm3 Find the radius of a sphere (in mm) when its diameter is 60 mm. r = mm The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 60 mm? (Round your answer to two decimal places.) mm3/s

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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.