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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 at the time t when the size of the culture reaches 3 million cells? million cells per hour

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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