AP Practice Exam

Wednesday April 29th, 2015 (for a grade...a small one…about 10 points)

Chapter 12 Take Home Exam to turned in on

Thursday April 30th, 2015 (for a grade…a larger one…100 points)

In the “stunning” conclusion to the end of 3rd Quarter we witnessed…

2 3 4

0

1 1 1 11 ...2! 3! 4! !

x n

ne x x x x x

n

Q: Why do we care about power series?

Q: What is the area beneath e^(-x^2/2) from 1 to 3?

NOTE: e^(-x^2/2) is the equation for the normal bell curve and of course an area beneath this would help to answer several interesting questions in which a distribution of data is “normal”

2 3 4

0

1 1 1 11 ...2! 3! 4! !

x n

ne x x x x x

n

2 / 2 2 2 2 2/ 2 / 2 / 2 / 22 3 4

2

0

1 1 11 ...2! 3! 4!

1 / 2!

xx x x x

n

n

e

xn