A spherical balloon is being inflated. The radius of the balloon is increasing at the rate of 9 cm/s. (a) Find a function f that models the radius as a function of time t, in seconds. f(t) = (b) Find a function g that models the volume as a function of the radius r, in cm. 9(r) = (c) Find go f. gof =

Q: velocity

A: We have : h=12t2+12t We have to find the velocity of the balloon at the end of the 39 sec.

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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.