A. Show the value of P0 is 12,000 and hence, state the equation for P(t) B. Show that the value of the constant r is −0.219 to three significant figures.
A. Show the value of P0 is 12,000 and hence, state the equation for P(t) B. Show that the value of the constant r is −0.219 to three significant figures.
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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Question
The change to a villages population over time can be represented using an exponential decay function.
P(t) = P0ert (t ≥ 0)
P(t) represents the village population at time (t), measured in years. Initially at time t=0, there are 12,000 people in the village. After 4 years, only 5,000 people remain.
A. Show the value of P0 is 12,000 and hence, state the equation for P(t)
B. Show that the value of the constant r is −0.219 to three significant figures.
C.
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