Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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One of the possible models for the coronavirus is the logistic
curve, shown here without scale. This curve shows the total number of cases of people
infected with the virus. The rate of change for this curve is the number of ca es per day.
1. On the curve, mark the point at which the number of cases per day is greatest. What
is a mathematical term for this point?
2. One of the criteria for re-opening activities is fourteen consecutive da s with a decreasing
number of cases. Where is this on the curve?
Number of Infected people as a function of time
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Transcribed Image Text:One of the possible models for the coronavirus is the logistic curve, shown here without scale. This curve shows the total number of cases of people infected with the virus. The rate of change for this curve is the number of ca es per day. 1. On the curve, mark the point at which the number of cases per day is greatest. What is a mathematical term for this point? 2. One of the criteria for re-opening activities is fourteen consecutive da s with a decreasing number of cases. Where is this on the curve? Number of Infected people as a function of time
Expert Solution
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Step 1

Label the graph as per the given statements in the question. 

Calculus homework question answer, step 1, image 1

Step 2

The rate of change is the number of cases per day.
From  the graph, the rate is maximum when concavity for f (t) changes from concavity up to concavity down.
This point is called the point of inflection.

Mark the point for inflection in the curve.

Calculus homework question answer, step 2, image 1

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