The income distribution for a certain country is represented by the Lorenz curve with the equation shown below. Approximate the index of income concentration to within +0.005. f(x)= Set up the Taylor series for the integral 7x° |_ 6 7xº 6+x² 6+x² -11- -dx= 7 8 X + 6 36 12 2+...]dx (Use integers or fractions for any numbers in the expression.) 76 6 7 216 7x dx. Give the first four nonzero terms with nonzero coefficients. 2 6+x 7 10 1296 X The index of income concentration for this country is approximately (Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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The income distribution for a certain country is represented by the Lorenz curve with the equation shown below.
Approximate the index of income concentration to within +0.005.
7x6
f(x)= 2
6+x
Set up the Taylor series for the integral - -dx. Give the first four nonzero terms with nonzero coefficients.
7x6
2
7x⁰
6+x
(Use integers or fractions for any numbers in the expression.)
-dx =
= √(
2
76 78 7
x +
6* 36
10
6+x
216*
7 12
X
1296
+ ... dx
The index of income concentration for this country is approximately
(Round to three decimal places as needed.)
Transcribed Image Text:The income distribution for a certain country is represented by the Lorenz curve with the equation shown below. Approximate the index of income concentration to within +0.005. 7x6 f(x)= 2 6+x Set up the Taylor series for the integral - -dx. Give the first four nonzero terms with nonzero coefficients. 7x6 2 7x⁰ 6+x (Use integers or fractions for any numbers in the expression.) -dx = = √( 2 76 78 7 x + 6* 36 10 6+x 216* 7 12 X 1296 + ... dx The index of income concentration for this country is approximately (Round to three decimal places as needed.)
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