Thread: Optimization

I figured I would go ahead and post this before someone in my class asks about it...

#5

Originally Posted by qbkr21

I figured I would go ahead and post this before someone in my class asks about it...

I see you're being preemtive in helping others with math, that's all well and good, but you know what would be even more cool? if you just save the solutions on your pc and hope someone asks about it. if someone does, you can post the solution right away and they'll be like, "wow! qbkr21 solved the problem in under a minute, and i've been working on it all night! qbkr21 is ssooo smmmaaarrttt!!!!"

yeah, that's probably what i'd do if i knew many of my classmates were on the site. besides, chances are, they will not look for a solution to their problem before they post it--unless you tell them before hand, "hey, i'll post some of the solutions, so look around to avoid double posting the same question"

Hello, qbkr21!

Nice work!

I use r for the radius of the semicircle.
. . Its perimeter is πr and its area is ½πr²

The rectangle is 2r-by-h.
. . Its perimeter is 2r + 2h and its area is 2r·h

The total perimeter is: .πr + 2r + 2h .= .44 . → . h .= .22 - (1 + ½π)r .[1]

The total area is: .A .= .½πr² + 2rh .[2]

I substituted [1] into [2] and solved: A' = 0

. . . . . and got the same answer. . Yay!

Jhevon do you remember the other night we worked those Related Rates problems? Well that evening was the deadline for submission, and all of those problems were the same ones I asked about a couple of weeks beforehand thus giving me plenty of reason to believe they were in my 100 seat math class. It would be nice to just show someone how to work them by giving a relevant, practical example that they can follow step-by-step to get answer. Again this my reason for posting the file.