Female life expectancy . Refer to Problem 91 . Subsequent data indicated that life expectancy grew to 79.1 years for females born during 1995 - 2000 and to 79.7 years for females born during 2000 - 2005 . Add the points 15 , 79.1 , and 20 , 79.7 to the data set in Problem 91 . Using a graphing calculates to find a quadratic regression model for all foe data points. Graph the data and the model in the same viewing window.
Female life expectancy . Refer to Problem 91 . Subsequent data indicated that life expectancy grew to 79.1 years for females born during 1995 - 2000 and to 79.7 years for females born during 2000 - 2005 . Add the points 15 , 79.1 , and 20 , 79.7 to the data set in Problem 91 . Using a graphing calculates to find a quadratic regression model for all foe data points. Graph the data and the model in the same viewing window.
Solution Summary: The author explains how to calculate the quadratic equation for the data of life expectancy for females.
Female life expectancy. Refer to Problem
91
. Subsequent data indicated that life expectancy grew to
79.1
years for females born during
1995
-
2000
and to
79.7
years for females born during
2000
-
2005
. Add the points
15
,
79.1
,
and
20
,
79.7
to the data set in Problem
91
. Using a graphing calculates to find a quadratic regression model for all foe data points. Graph the data and the model in the same viewing window.
EXAMPLE 3
Find
S
X
√√2-2x2
dx.
SOLUTION Let u = 2 - 2x². Then du =
Χ
dx =
2- 2x²
=
信
du
dx, so x dx =
du and
u-1/2 du
(2√u) + C
+ C (in terms of x).
Let g(z) =
z-i
z+i'
(a) Evaluate g(i) and g(1).
(b) Evaluate the limits
lim g(z), and lim g(z).
2-12
(c) Find the image of the real axis under g.
(d) Find the image of the upper half plane {z: Iz > 0} under the function g.
k
(i) Evaluate
k=7
k=0
[Hint: geometric series + De Moivre]
(ii) Find an upper bound for the expression
1
+2x+2
where z lies on the circle || z|| = R with R > 10. [Hint: Use Cauchy-Schwarz]
Chapter 4 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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