In the model of Exercise 12, let A(t) be the area at time t (hours) of a growing tissue culture with initial size A(0) = 1 cm2, assuming that the maximum area is M = 16 cm2 and the growth constant is k = 0.1. (a) Find a formula for A(t). Note: The initial condition is satisfied for two values of the constant C. Choose the value of C for which A(t) is increasing. (b) Determine the area of the culture at t = 10 hours. (c) Graph the solution using a graphing utility.

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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.