Optimization Problems
Video
Maths
Year 12 - Year 13
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The Organic Chemistry Tutor
Maths Resource Description
This calculus video tutorial provides a basic introduction into solving optimization problems. It explains how to identify the objective function and the constraint equation as well as what to do with them. This video contains plenty of examples and practice problems.
Here is a list of topics:
1. Product and Sum Problems
2. How to find two positive numbers whose product is 81 and whose sum is a minimum
3. Find the dimensions of a rectangle with a perimeter of 200ft with an area as large as possible
4. Maximizing the area of a rectangle
5. Fencing Problem With Rectangular Field Along a River
6. Minimizing the amount of fencing given a fixed area along a river - find the dimensions of the rectangle - length & width
7. Find the point on the line y=3x+5 that is closest to the origin.
Calculus Video Playlist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
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