Related questions
The birth rate in a certain city is described by the following function
b(t)=6.47-0.01t^2
The city's death rate is given by
d(t)=5+0.02t^2
Here, t is measured in years, and t = 0 corresponds to the start of the year 1990.
The birth and death rates are measured in thousands of births or deaths per year.
At the start of 1990, the population of the city is 300 thousand.
Enter all the following answers correct to two decimal places.
a) Calculate the total number of births between the start of 1990 and the end of 1999.
Number of births = thousand.
b) Calculate the total number of deaths over the same period
Number of deaths = thousand.
c)What is the population of the city at the start of year 2000?
Population : thousand.
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 3 images
the last part, e with between 0 and 10 is incorrect for my homework. is there another way this can be done? this is the one im most confused on. thanks!
follow up parts to question:
d. Considering just the period from the start of 1990 to the start of 2000, over what interval is the population increasing?
(Enter your dates as years, not the number of years since 1990.)
Increasing from ___ until ___.
Over what interval is the population decreasing?
Decreasing from ___ until ___.
- Calculate the area between the curves y = b ( t ) and y = d ( t ) for t between 0 and 10.
Area : ____
the last part, e with between 0 and 10 is incorrect for my homework. is there another way this can be done? this is the one im most confused on. thanks!
follow up parts to question:
d. Considering just the period from the start of 1990 to the start of 2000, over what interval is the population increasing?
(Enter your dates as years, not the number of years since 1990.)
Increasing from ___ until ___.
Over what interval is the population decreasing?
Decreasing from ___ until ___.
- Calculate the area between the curves y = b ( t ) and y = d ( t ) for t between 0 and 10.
Area : ____
- When a drug is administered intravenously, the concentration of the drug begins to decrease immediately administered. One model for the blood concentration C, in milligrams per liter, after t hours is : C = 10e^-t - 2e^-2t. During what time period is the drug concentration level at least 0.88 milligrams per litre?arrow_forwardA function of the form P(t)=ab^t represents the population (in millions) of the given country t years after January 1,2000.arrow_forwardGiven f(x)= -5^(2x) -6 , determine • the equation of g(x) given that g(-x) = f(2x) • the range • the x-intercept (if any) • the equation , x= f(y)arrow_forward
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
Numerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY 
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
