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Quiz Six

Topic: The cycloid. 

Find out what you can about the cycloid and it's applications. 

Question you should address: Look up some background about the brachistochrone problem? Whose conjecture was this? Who solved it? When?

Questions you might address: 
How hard would it be to calculate the length and area of the cycloid if we couldn't use the t parameter? What is the advantage of using parametric equations? 

Who first discovered the length of the cycloid, and the area under the cycloid? What applications, if any, can you discover?

Look up some background about the brachistochrone problem? Whose conjecture was this? Who solved it? When?

This assignment is due on Friday morning, and should be 300 - 400 words long, not including any equations / diagrams you might want to include.