An excellent film with a very small advertising budget must depend largely on word-of-mouth advertising. In this case, the rate at which weekly attendance might grow can be given by   dA/dt = -100/(t+20)2 + 4000/(t+20)3 where t is the time in weeks since release and A is attendance in millions. (a) Find the function that describes weekly attendance at this film.  (Assume A(0) = 0.) A(t) =    (b) Find the attendance at this film in the fourth week. (Round your answer to one decimal place.)  million

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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.