Optimization Problem Solution - Checking and Verification

[opticaltempest]

Is anyone willing to check my solution to this problem? The problem is described on part 1 of the solution.

http://img458.imageshack.us/img458/5418/solution016dj.jpg"

http://img458.imageshack.us/img458/7669/solution025zk.jpg"

http://img458.imageshack.us/img458/6652/solution030fr.jpg"

http://img458.imageshack.us/img458/3950/solution048zi.jpg"

http://img458.imageshack.us/img458/7357/solution059yw.jpg"

Thanks

 

[Diane_]

I'm getting a broken link on your page two, but it doesn't matter. Your work is fine - well laid out and correct.

Two things: 1) You can also eliminate r=0 as a solution by checking the first derivative in its vicinity. It leads to a maximum, as you might guess.

2) I'm not extraordinarily fond of the way you express h. If I were your professor, I'd ask you to clean up the arithmetic a bit - but that's your call and his.

Good job.

 

[opticaltempest]

Thanks for checking it over Diane_

 

[opticaltempest]

1/2\,{v}^{2}={\frac {{\it GM}}{y}}

 

[opticaltempest]

\[\int \!v{dv}=-{\it GM}\,\int \!{y}^{-2}{dy}\]}

testing out latex... ignore last two replies by me