(1 point) Redo problem 14 in section 4.7 of your textbook (page 215) but use the
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Question
(1 point) Redo problem 14 in section 4.7 of your textbook (page 215) but use the data below rather than the data in your textbook: Assume 10 people originally have the virus and that in early stages the number of people infected is increasing approximately exponentially, with a continuous growth rate of 1.32. Assume turther that in the long run, they estimate approximately 8500 people will be infected. (You may wish to sketch a graph of your logistic tunction P (a) What should we use for the parameters k and L? to help you understand this situation and answer the questions below.) 1.32 L8500 (b) Use the fact that when 0, we have P 10, to find C. C-(8500-10/10 (c) What is the value of P when the rate at which people are becoming infected peaks? When does this occur?Explanation / Answer
a)
Given
k= growth rate = 1.32
L= carrying capacity = 8500
b)
C= (L- P0)/P0
= (8500 -10)/10
= 849
c)
P= L/2
= 8500/2
=4250
And
t= ln(C)/k
t= ln(849)/1.32
t=5.109
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