Q1. If the growth rate of the number of virus infection at any time t is proportional to the number of infected people present at t and doubles in 1 week, how many people can be expected to be infected after 2 weeks? After 10 weeks? Assume the number of people infected by a virus at time t = 0 is 50.

3. There are currently 300 bacteria in a petri dish. There will be 2052 bacteria in 33 minutes. What is the growth rate for the bacteria?

Suppose a species of fish in a particular lake has a population that is modeled bythe logistic population model with growth rate k, carrying capacity N, and time tmeasured in years. Adjust the model to account for each of the following situations. * One hundred fish are harvested each year.* One-third of the fish population is harvested annually.* The number of fish harvested each year is proportional to the square root of thenumber of fish in the lake. I was hoping to compare my answer to yours because I am a little confused if I did it right. Thank you for your time and effort.

Suppose that a population in a particular city is 46,581 in 2010. What is the population after 15 years with a growth rate of 3%?

A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are100 milligrams of the material present and if after two years it is observed that 5 percent of the original mass has decayed, find (a) an expression for the mass at any time t and (b) the time necessary for 10 percent of the original mass to have decayed.

If we have a formula giving the cholesterol level of a patient as a functionof time, how can we find the average cholesterol level over a certainperiod of time?