The volume V = 3 "Tr° of a spherical balloon changes with the radius. 3 a. At what rate (in°/in) does the volume change with respect to the radius when r=7 in? b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 7 to 7.5 in?

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A: topic-equations

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.