HU reports Covid-19 statistics daily for each US state as a function of time t, in days. These include P(t) - Cumulative Confirmed Cases: total number of cases confirmed before day t. In each case below, write the differential equation (the change equation) for P P for that state. That is write P'= . . . a. Covid cases in New York increase by 500 a day. P'= _________ b. West Virginia's Covid cases grew by 1.75% a day. P'=__________
JHU reports Covid-19 statistics daily for each US state as a
P for that state. That is write P'= . . .
a. Covid cases in New York increase by 500 a day.
P'= _________
b. West Virginia's Covid cases grew by 1.75% a day.
P'=__________
The US population, U, in millions, has a 1.1% birth rate and a 0.8% death rate. About 1 million people immigrate into the US a year, and 0.08 million people emigrate from the US each year.
- Write the differential equation (the change equation) for U. That is write U'=. . .
2.
a.) Now, 2021, there are 330 million people in the US. Using your differential equation, estimate the change in the number of millions of people in the US in the next year. Give two digits after the decimal point. Do not write millions in the answer box---just the number of millions.
b.) Hence estimate the population in 2022 in millions. Give two digits after the decimal point. Do not write millions in the answer box---just the number of millions.
3.) Assume the rates of change remain constant. Without further calculation, decide how the change in population in the years after 2022 compare to that for 2022.
a.) Greater
b.) Smaller
c.) Same
d.) Will vary
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
