The population of the United States since the year 1960 can be approximated by f ( t ) = 0.009 t 2 + 2.10 t + 182 where f ( t ) is the population in millions and t represents the number of years since 1960. a. Find the average rate of change in U.S. population between 1960 and 1970. Round to 1 decimal place. b. Find the average rate of change in U.D. population between 1960 and 1970. Round to 1 decimal place. c. Based on the answers from parts (a) and (b), does it appear that the rate at which U.S. population increases is increasing or decreasing with time?
The population of the United States since the year 1960 can be approximated by f ( t ) = 0.009 t 2 + 2.10 t + 182 where f ( t ) is the population in millions and t represents the number of years since 1960. a. Find the average rate of change in U.S. population between 1960 and 1970. Round to 1 decimal place. b. Find the average rate of change in U.D. population between 1960 and 1970. Round to 1 decimal place. c. Based on the answers from parts (a) and (b), does it appear that the rate at which U.S. population increases is increasing or decreasing with time?
Solution Summary: The author explains how the average rate of change in U.S. population between 1960 and 1970 is 2.2 million per year.
The population of the United States since the year 1960 can be approximated by
f
(
t
)
=
0.009
t
2
+
2.10
t
+
182
where f(t) is the population in millions and t represents the number of years since 1960. a. Find the average rate of change in U.S. population between 1960 and 1970. Round to 1 decimal place. b. Find the average rate of change in U.D. population between 1960 and 1970. Round to 1 decimal place. c. Based on the answers from parts (a) and (b), does it appear that the rate at which U.S. population increases is increasing or decreasing with time?
The Course Name Real Analysis please Solve questions by Real Analysis
part 3 of the question is:
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
2. The duration of the ride is 15 min.
(a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris
wheel?
(b) What is the position of that passenger when the ride ends?
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