Lesson #42 e, pi, and Exponential Functions
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Quote of the Day:
"There is a famous formula, perhaps the most compact and
famous of all formulas -- developed by Euler from a
discovery of deMoivre: e^(i pi) + 1 = 0...
It appeals equally to the mystic, the scientist, the
philosopher, the mathematician."
-- Edward Kasner and James Newman
Objectives:
The student will discover the values of e and pi.
The student will learn two definitions of e.
The student will solve exponential equations.
1. Collect homework.
2. What is the difference between
The first is a quadratic; the second is an exponential function. The first is a variable to a constant power; the second is a constant raised to a variable power. 3. To discover the value of e: (USE CALCULATOR) 
4. This leads to two definitions of e: 
5. Information sheet on e
8. Humorous uses of e
In the IPO filing for Google, Inc., in 2004, rather than a typical
round-number amount of money, the company announced its intention
to raise $2,718,281,828, which is, of course, e billion dollars
to the nearest integer.
Google was also the culprit of a mysterious billboard that appeared
in the heart of Silicon Valley, which read
'{first 10-digit prime found in consecutive digits of e}.com'.
Once solving this problem, and visiting the web site advertised,
an even more difficult problem was presented.
9. To solve an exponential equation:
10. Chain Letters and Pyramid Schemes 11. Formulas involving e: 
12. Poems and Songs about pi and e
13. Another Pi Joke
Pie are not square.
Pie are round.
Cornbread are square.
14. Comic Strips about pi
15. Assignment:
p. 74 (8b, 9, 12b, 13, 15, 17, 19, 21, 23, 25)
Logarithm Cut-out sheet |