Learning. Repeat Problem 91 if V ′ ( t ) = 13 / t 1 / 2 and the interval is changed to [1, 4]. 91. Distribution of wealth. Lorenz curves also can provide a relative measure of the distribution of a country’s total assets. Using data in a report by the U.S. Congressional Joint Economic Committee, an economist produced the following Lorenz curves for the distribution of total U.S. assets in 1963 and in 1983: f ( x ) = x 10 Lorenz curve for 1963 g ( x ) = x 12 Lorenz curve for 1983 Find the Gini index of income concentration for each Lorenz curve and interpret the results.
Learning. Repeat Problem 91 if V ′ ( t ) = 13 / t 1 / 2 and the interval is changed to [1, 4]. 91. Distribution of wealth. Lorenz curves also can provide a relative measure of the distribution of a country’s total assets. Using data in a report by the U.S. Congressional Joint Economic Committee, an economist produced the following Lorenz curves for the distribution of total U.S. assets in 1963 and in 1983: f ( x ) = x 10 Lorenz curve for 1963 g ( x ) = x 12 Lorenz curve for 1983 Find the Gini index of income concentration for each Lorenz curve and interpret the results.
Solution Summary: The author calculates the area of the shaded region by the function Vprime.
Learning. Repeat Problem 91 if
V
′
(
t
)
=
13
/
t
1
/
2
and the interval is changed to [1, 4].
91. Distribution of wealth. Lorenz curves also can provide a relative measure of the distribution of a country’s total assets. Using data in a report by the U.S. Congressional Joint Economic Committee, an economist produced the following Lorenz curves for the distribution of total U.S. assets in 1963 and in 1983:
f
(
x
)
=
x
10
Lorenz curve for
1963
g
(
x
)
=
x
12
Lorenz curve for
1983
Find the Gini index of income concentration for each Lorenz curve and interpret the results.
4
3
2
-5 4-3 -2 -1
1 2 3 4 5
12
23
-4
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)
Question 4
The plot below represents the function f(x)
8
7
3 pts O
-4-3-2-1
6
5
4
3
2
+
1 2 3
5
-2+
Evaluate f(3)
f(3) =
Solve f(x) = 3
x=
Question 5
Question 14
6+
5
4
3
2
-8-2
2 3 4 5 6
+
2
3
4
-5
-6
The graph above is a transformation of the function f(x) = |x|
Write an equation for the function graphed above
g(x) =
Chapter 6 Solutions
Calculus for Business Economics Life Sciences and Social Sciences Plus NEW
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