Question

The spread of a virus can be modeled by the following function where N is the...

The spread of a virus can be modeled by the following function where N is the number of people infected (in hundreds) and t is the time (in weeks). (Round your answers to three decimal places.) N = −t3 + 5t2, 0 ≤ t ≤ 5 (a) What is the maximum number of people projected to be infected? hundred people (b) When will the virus be spreading most rapidly? weeks

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Differentiating with respect to t

For critical points

at t=10/3

so t=10/3 is maxima points

hundreds people

(b)

The virus will be spreading most rapidly

weeks

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
COVID-19 is modeled by the function where  represents the number of people infected on a cruise after...
COVID-19 is modeled by the function where  represents the number of people infected on a cruise after hours. You measure the infected population for the first 3 hours. Initially, how many people are infected? (Round to the nearest person) a)0 b)1 c)8 d)18 where  represents the number of people infected on a cruise after hours. You measure the infected population for the first 3 hours. At what hour are the most number of people infected and how many people are infected at...
6. Then number of infected individuals in a population can be modeled with the following function:...
6. Then number of infected individuals in a population can be modeled with the following function: 20 I(t) = 10 − √ t, where t is measured in days. (a) Using linear approximation, estimate the number of in- fected individuals at time t = 18. You should linearize around the point t = 16. (b) Starting at t = 16, use linear approximation to estimate the number of newly infected individuals over the next 0.5 days.
Question: The function N(t), modelling the number of individuals (in thousands) infected with a certain virus...
Question: The function N(t), modelling the number of individuals (in thousands) infected with a certain virus at time t (in months since the beginning of 2019), is currently unknown. Nevertheless, it is known that on April 1, 2020, sixty{seven thousand individuals were infected with the virus and that, at that time, the number of infected individuals was increasing by ve thousand per month. (a) Interpret the above information in terms of the function N(t) and its derivatives. Be sure to...
The number, NN, of people who have heard a rumor spread by mass media by time...
The number, NN, of people who have heard a rumor spread by mass media by time tt is modeled by N(t)=a(1−e^(−bt)). There are 100,000 people in the population who hear the rumor eventually. If 30% of them heard it the first day, find bb, assuming tt is measured in days. Give your answer to three decimal places.
Suppose that t weeks after the start of an epidemic in a certain community, the number...
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?...
2. The growth of cable television between 1978 and 1994 can be modeled by the following...
2. The growth of cable television between 1978 and 1994 can be modeled by the following logistic function: S(t) = 65/ 1+23e^(-0.214t) where S(t) is the number of cable TV subscribers (in millions) t years after 1970. a. Determine the number of cable TV subscribers in 1984 according to this model. b. Determine S′(t) using the function above and the derivative rules you know. c. Use this function to determine the rate at which the number of cable TV subscribers...
A company manufactures soccer balls. Your profit, P(n), can be modeled by the function P(n)= -0.003n^2...
A company manufactures soccer balls. Your profit, P(n), can be modeled by the function P(n)= -0.003n^2 + 5.4n - 1211. Where n is the number of soccer balls sold each month. a.) how many soccer balls must you make and sell in order to break even? b.) How many soccer balls must you make and sell in order to maximize profit? c.) What is the maximum profit? d.) How many soccer balls must you make and sell in order to...
The following situation can be modeled by a linear function. Write an equation for the linear...
The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question. The price of a particular model car is $22,000 today and rises with time at a constant rate of $820 per year. How much will a new car cost in 3.4 years? Use an equation to model this situation where p is the price of a car in dollars and t is the time in...
3) The Zika virus occurs primarily in South and Central America, where it is spread among...
3) The Zika virus occurs primarily in South and Central America, where it is spread among humans primarily by mosquitos. One study investigated whether point mutations in the human hemoglobin gene might influence a person's susceptibility to infection by the Zika virus (like it does for malaria), as compared to the non-mutant hemoglobin gene. To do so, researchers took blood samples from 40 people that varied in these point mutations (10 S-type, 10 C-type, 10 E-type, 10 control) and measured...
The population P (in thousands) of a certain city from 2000 through 2014 can be modeled...
The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 160.3e ^kt, where t represents the year, with t = 0 corresponding to 2000. In 2007, the population of the city was about 164,075. (a) Find the value of k. (Round your answer to four decimal places.) K=___________ Is the population increasing or decreasing? Explain. (b) Use the model to predict the populations of the city (in thousands) in 2020 and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT