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 (in millions of cells per hour) at the time t when the size of the culture reaches 3 million cells? 0.38      million cells per hour

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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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 time t > 0 (measured in hours). How fast is the culture growing (in millions of cells per hour) at the time t when the size of the culture reaches 3 million cells?
0.38
 
 
 million cells per hour
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