I think this might be the last one. I've scanned all my remaining problems, and I feel I can do them. The problem includes:

Determine the value for c on [2,5] that satisfies the Mean Value Theorem (f'(c)= ^f(b)-f(a)/_b-a) for f(x)=x²-3/x-1.

And here's all the work I've included:

f(5)= 5²-3/5-1
= ^25-3/₄
= ²²/₄= ¹¹/₂

f(2)= 2²-3/2-1
= ^4-3/₁
= 1

f(x)= (x²-3)(x-1)^-1
f'(x)= 2x(x-1)^-1-(x²-3)(x-1)
= (2-2x)-(x²-3)(x-1)
= -2(-1+x)-(x²-3)(x-1)
= (x+1)(-2-x²+3)
= (x+1)(-x²+1)

(c+1)(-c²+1)= ^9/2/₃
c+1= ³/₂ -c²+1= ³/₂
c= ¹/₂ c= ...

The answer is supposed to be 3, but I'm not getting that. Can anyone point out my error?

[ 01-18-2004, 09:28 PM: Message edited by: Nanobyte ]

I think the answer is ''green'

Yes, but the amount of Pokemon included in the left side of the equation doens't come close to a monkey with glasses. Sorry, but I think he'd be better off answering "chicken curry".

I think you messed up the differentiation....
it should be 2x(x-1)^-1 - (x^2-3)(x-1)^-2 (you missed off the power of -2)
then carry on from there, solve by partial fractions I think.

You have to think about the mathimatical equvelent of a squid, times by pi with a monkey milk, then divide by a squid head, the number of eyes on a blind spider and then you get...
Eggs.

LOL! Nanobyte, I think you may go off the deep end if you include green squids and Pokemons in there! Vaskie seems to have helped out, though!

I guess a few laughs never hurt anybody. [img]smile.gif[/img] Thanks Vaskez, for pointing out my mistake.

LOL Dragonshadow! Is this college level math or something? This is way out of my leauge.

Yes...no....maybe....
BTW Nanobyte, you aren't a mathsteacher or a lawyer,are you?

It's AP (Advanced Placement), which is considered college level.

edited: and no, I'm neither. I actually plan on becoming a game designer, and even then, will most likely lean towards writing than programming.

[ 01-19-2004, 11:16 AM: Message edited by: Nanobyte ]