Suppose that dP/dt = 0.19P(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 the time t when the size of the culture reaches 3 million cells? million cells per hour

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Suppose that dP/dt = 0.19P(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 timet > 0 (measured in hours). How fast is the culture growing at the time t when the size of the culture reaches 3 million cells?
million cells per hour
Transcribed Image Text:Suppose that dP/dt = 0.19P(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 timet > 0 (measured in hours). How fast is the culture growing at the time t when the size of the culture reaches 3 million cells? million cells per hour
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