Concept explainers
a.
To Prove:
To prove that the function is a solution of a logistic differential equation. Identify
a.
Answer to Problem 59RE
The value of
Explanation of Solution
Given information:
The spread of flu in a certain school is given by the formula,
The general form is
The given formula is
Differentiating with respect to t,
Now using the general form
For any given values of A and B the quantity
Therefore, the value of
b.
To Estimate:
To estimate
b.
Answer to Problem 59RE
The value of
Explanation of Solution
Given information:
The spread of flu in a certain school is given by the formula,
The spread of flu in a certain school is given by the formula,
Here
Now substituting
Therefore, the value of
c.
To Estimate:
To estimate the number of days it will take for a total of 125 students to become infected.
c.
Answer to Problem 59RE
The number of days is appoximatey about 6 days
Explanation of Solution
Given information:
The spread of flu in a certain school is given by the formula,
The spread of flu in a certain school is given by the formula,
Here total of 125 students to become infected ,
Now substituting
Therefore, the number of days is appoximatey about 6 days.
Chapter 7 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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