Suppose that dP/dt = 0.13P(t) represents a mathematical model for the growth of

Question

Suppose that dP/dt = 0.13P(t) represents a mathematical model for the growth of a certain cell culture, where P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours). How fast is the culture growing at time t when the size of the culture reaches 3 millions cell?
———million cells per hour Suppose that dP/dt = 0.13P(t) represents a mathematical model for the growth of a certain cell culture, where P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours). How fast is the culture growing at time t when the size of the culture reaches 3 millions cell?
———million cells per hour
———million cells per hour

Explanation / Answer

Solution: P(t) = 3 millions (given) where t measured in hours.

We have to find dP/dt when P(t) = 3

Here dP/dt = 0.13 P(t)

= 0.13 × 3

= 0.39 millions per hour

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