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?
I want a mathematical relationship with all the details, not explanations and definitions
4 sinx cos2x+4 cos x sin2x-1=0
For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.)
6 -2
-[47]
A =
-3 1
P =
Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal.
P-1AP =
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