Sunday, February 10, 2008

9.1: Understanding Functions of two variables/ 9.2: Contour Diagrams

Main Points
A function with 2 variables can be represented using a table of values, with a formula done algebraically or pictorially with a contour diagram. The best way to learn something about a function with 2 variable is to vary one at a time.
Contour diagrams connect points with similar properties, such as isotherms over a certains geographical area. These diagrams could be used to compare different values and also help in the decision making process for a number of situations.

Challenges
How exactly are contour diagrams obtained? Is there a fomula that is used?
What is the significance of the Cobb-Douglas Production Model other than with the US economy? It seems to be pretty inportant since it has its own title and all.

Reflections
ALMOST EVERY PROBLEM IT SEEMS NOW CAN BE SOLVED BY MATH. Of course the nature of the problem has to be considered. And further more it helps with making predictions about certain situations.

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