MATH 1ZA3 Study Guide - Final Guide: Maxima And Minima, Ceteris Paribus

• School: McMaster University
• Department: Mathematics
• Course: MATH 1ZA3
• Professor: Aaron Childs

Document Summary

The entire length of one hundred meter length of fence is used to enclose two square plots of land. Often it is a good idea to draw a diagram to get an idea what"s happening. From the diagram, you can see that we"ve labeled the sides of our square regions as length , and length , giving us areas x x y. Also, the total amount of fencing is 100m, so we have the equations: We wish to maximize area, so let"s write. Remember, that we have less than 100m total wire and we must enclose two regions, so x cannot properly be zero. So let"s proceed by checking to see what are critical points are: 12. 5, and we have two squares, each area. The naive assuption would be that this represents the maximum area we are looking for. This is twice the area at our critical point values!