Name: Anonymous 2010-11-20 13:22
Hey guys, sorry to hit you with a homework thread, but I'm trying to help out my sister in college. She's asking for help with this question and I've never taken a calculus class so I'm not totally clear on how to get the answer:
A sports field is to have the shape of a rectangle with semi-circles put on the two ends. It must have a perimeter of 1000 meters. What is the maximum area possible for the rectangular part.
I pretty much found the answer here http://www.ltcconline.net/greenl/courses/103a/keys/PracticeFinal/practiceFinaKeyl.htm on problem 11, but I don't know what "this can also be done by hand using the vertex of a parabola formula" means. The rest of it makes sense to me.
Thanks for any help.
A sports field is to have the shape of a rectangle with semi-circles put on the two ends. It must have a perimeter of 1000 meters. What is the maximum area possible for the rectangular part.
I pretty much found the answer here http://www.ltcconline.net/greenl/courses/103a/keys/PracticeFinal/practiceFinaKeyl.htm on problem 11, but I don't know what "this can also be done by hand using the vertex of a parabola formula" means. The rest of it makes sense to me.
Thanks for any help.