Question

The number P(t) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. initially, P(0) = 200, and it is observed that P(2) = 1500. Solve for P(t) if it is predicted that the limiting number of people in the community who will see the advertisement is 35,000. Also, use a graphing utility to plot the solution curve.

Answer #1

The number P(t) of people in a community who are exposed to a
particular advertisement is governed by the logistic equation.
initially, P(0) = 200, and it is observed that P(2) = 1500. Solve
for P(t) if it is predicted that the limiting number of people in
the community who will see the advertisement is 35,000. Also, use a
graphing utility to plot the solution curve.

The number of people in a community who are exposed to a
political announcement can be described by the logistic equation
dN/dt= N(a-bN) (, where a and b are positive constants).
Initially N (0) = 50, and it is observed that N (3) = 200. Find N
(t), N (6) and plot the graph of N (t) if it is known that the
limit amount of people who will see the Ad is 3,000 people.

Suppose that t weeks after the start of an epidemic in a certain
community, the number P(t) of people who have caught the disease is
given by the logistic curve P(t) = 1500 5 + 295 e-0.9t (a) How many
people had the disease when the epidemic began? (b) Approximately
how many people in total will get the disease? (c) When was the
disease spreading most rapidly? (d) How fast was the disease
spreading at the peak of the epidemic?...

Let P(t) represent the number of people who have been infected
by a disease t days after it was first detected in a particular
community.
(a) Suppose P' (34) = 11. What does this tell us about the
infections in this community?
(b) Suppose that P' (58) = 0. Based on this information, do we
know that the disease has reached its peak infection rate on day
58? Explain.
(c) Suppose P'' (34) = 8. Based on this and on...

Let P(t) represent the number of people who have been infected
by a disease t day after it was ﬁrst detected in a
particular community.
(a) Suppose P ′ (34) = 11. What does this tell us about the
infections in this community? (Hint: Interpret the statement P ′
(34) = 11, being sure to clearly specify what the 34 and the 11
represent.)
(b) Suppose that P ′ (58) = 0. Based on this information, do we
know that...

A model for the number of people N in a college community who
have heard a rumor is given by the equation: N=P(1-e^-.15d) where P
is the total population of the community and d is the number of
days elapsed since the rumor began. If the number of students is
1,000 find the number of days when 450 students would have heard
the rumor?

The number N(t) of supermarkets throughout the country that are
using a computerized checkout system is described by the
differential Equation:
dN/dt = N(1-0.0005N); N(0) = 1
a.) Use phase portrait concept to predict how many supermarkets
are expected to adopt the new procedure over a long period of
time.
b.) Solve the differential equation and then use a graphing
utility to plot the solution curve. How many companies are expected
to adopt the new technology when t = 10?

A particular professor has noticed that the number of people, P,
who complain about his attitude is dependent on the number of cups
of coffee, n, he drinks. From eight days of tracking he compiled
the following data:
People (P) 12 10 9 8 4 4 4 4
Cups of coffee (n) 1 2 2 3 4 4 5 5
Unless otherwise stated, you can round values to two decimal
places.
a) Using Google Sheets to find a linear equation...

Plagiarism Certification Tests for Undergraduate College
Students and Advanced High School Students
These tests are intended for undergraduate students in
college or those under 18 years of age.
Read these directions carefully!
The below test includes 10 questions, randomly selected from a
large inventory. Most questions will be different each time you
take the test,
You must answer at least 9 out of 10 questions correctly to
receive your Certificate.
You have 40 minutes to complete each test, and you...

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