4.Find the solution mentally.
2 answers:
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Answer:
a) growth will reach a peak and begin declining after about 42.6 days. 5000 people will be infected at that point
b) the infected an uninfected populations will be the same after about 42.6 days
Step-by-step explanation:
We have assumed you intend the function to match the form of a logistic function:
This function is symmetrical about its point of inflection, when half the population is infected. That is, up to that point, it is concave upward, increasing at an increasing rate. After that point, it is concave downward, decreasing at a decreasing rate.
a) The growth rate starts to decline at the point of inflection, when half the population is infected. That time is about 42.6 days after the start of the infection. 5000 people will be infected at that point
b) The infected and uninfected populations will be equal about 42.6 days after the start of the infection.
Because which numbers will make the expessions undefined. We will focus on the denominator only.
Factor the terms.
Now which 2 numbers that will make these terms become 0?
12 and - 1 of course.
So these 2 numbers that will make the expressions undefined are 12 and - 1