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Report, edit, etc...Posted by BeeR_KeG on 2005-11-27 at 12:54:48

Discuss if Rolle's theorem is applicable to ƒ in the closed interval of [a,b]. In the afirmative case, calculate all values c in the open interval of (a,b), in which ƒ'(x)=0

ƒ(X) = 6x/pi - 4sin[sup]2[/sup]X , [0 , pi/6 ]

Alright, here is what I already did:

You can start by saying that Rolle's theorem is applicable to [a,b] since ƒ(X) in continium in [a,b].
Now you go and get the derivative of ƒ(X):

ƒ(X) = 6x/pi - 4sin[sup]2[/sup]X
dy/dx = 6/pi - 8sinXcosX

Now I have to find all the values in which ƒ'(x)=0.

0 = 6/pi - 8sinXcosX

This is the part which I can't solve, I keep getting a non-existant solution whereas my book tells me that the solution is ƒ'(0.249)~0

Report, edit, etc...Posted by DT_Battlekruser on 2005-11-27 at 14:59:49

You also have to state that f(0)=0 and f(π/6)=0.

Aren't you allowed a calculator? You can zero it at f'(0.2488857)=0.

6/π - 8sinxcosx = 0
8(sinx)(cosx) = 6/π
(sinx)(cosx) = 3/(4π)

There isn't an easy algebraic solution to this, 0.289 is not represented by a multiple of π.

Report, edit, etc...Posted by Zycorax on 2005-11-28 at 05:48:27

...
I really hope I don't need to learn that crap ever! I already don't understand a damned thing what we are learning on school (going on what you call high school, I think...). I don't think I'm willing to learn much more mathuntil someone can tell me when I can get use of it

Hate such useless mathematic questions

Report, edit, etc...Posted by Lithium on 2005-11-28 at 17:31:24

high school stuff... dont worry, if you dont learn that "crap" you wont get to go to any "college"

Report, edit, etc...Posted by n2o-SiMpSoNs on 2005-11-28 at 17:54:43

are colleges going to care if i take ap calculus or honors calculus

Report, edit, etc...Posted by Lithium on 2005-11-28 at 18:06:14

pretty much, they almost all base on math ability and literature... and then they go to their own college subject ( say football ) then you try out for football...

http://www.math.com
( This is an awesome site with "EVERYTHING" Calculator in it

)

Report, edit, etc...Posted by MetalMurk on 2005-11-28 at 18:17:32

I have a question, is that stuff hard?

Im usually good in math but... it looks like another language that has yet to be translated to me

Report, edit, etc...Posted by DT_Battlekruser on 2005-11-29 at 02:11:41

No calculus isn't hard. You just have to get your mind around it.

Report, edit, etc...Posted by BeeR_KeG on 2005-11-29 at 16:58:56

QUOTE(DT_Battlekruser @ Nov 27 2005, 03:59 PM)

6/π - 8sinxcosx = 0
8(sinx)(cosx) = 6/π
(sinx)(cosx) = 3/(4π)

There isn't an easy algebraic solution to this, 0.289 is not represented by a multiple of π.[/font]
[right][snapback]365884[/snapback][/right]

Thats what I thought, I had gotten to
(sinx)(cosx) = 3/(4π) but I was pretty sure that I had done something wrong since I've almost never seen 3/4pi and Trigonometric equations are my only weak spot in math.

So In a TI-83+ Silver, I would just insert the function, graph it and how do I place that zero thing?

Report, edit, etc...Posted by DT_Battlekruser on 2005-11-30 at 22:10:11

2nd -> Trace (which is CALC), select #2 (Zero) and select a bound on either side of the obvious zero.

Report, edit, etc...Posted by Syphon on 2005-11-30 at 22:26:32

QUOTE(DT_Battlekruser @ Nov 27 2005, 02:59 PM)

QUOTE(DT_Battlekruser @ Nov 29 2005, 02:11 AM)

No calculus isn't hard. You just have to get your mind around it.
[right][snapback]367319[/snapback][/right]

I thoguht you were only 14, why are you already in calculus? Or is it jsut a hobby of yours?

Report, edit, etc...Posted by BeeR_KeG on 2005-12-01 at 18:06:40

He's advanced like 3 years ahead. My bet is that DT_BK goes to some sort of special school or a private one.

Report, edit, etc...Posted by Infested-Jerk on 2005-12-01 at 18:57:48

>.< geometry, freshman year, god I hated that.
Still haven't decied wether I want advanced math, I'll probably end up taking something different.

Report, edit, etc...Posted by Staredit.Net Essence on 2005-12-01 at 21:03:16

QUOTE(Lithium @ Nov 28 2005, 03:31 PM)

high school stuff... dont worry, if you dont learn that "crap" you wont get to go to any "college"
[right][snapback]366758[/snapback][/right]

Uh, you're wrong.

QUOTE(Lithium @ Nov 28 2005, 04:06 PM)

)
[right][snapback]366779[/snapback][/right]

Dude... College doesn't base on math ability and literature.. They base on the ACT, which is a generalisation of EVERYTHING that deals with school.

Whatever shiz you're smoking, give me some?

Report, edit, etc...Posted by DT_Battlekruser on 2005-12-02 at 01:23:54

QUOTE(BeeR_KeG @ Dec 1 2005, 03:06 PM)

He's advanced like 3 years ahead. My bet is that DT_BK goes to some sort of special school or a private one.
[right][snapback]369057[/snapback][/right]

Nope, stupid public school.

Maybe I should have taken up on the letter from Andover

Report, edit, etc...Posted by Kow on 2005-12-02 at 21:31:57

Oh my got, I hate public school. They don't offer ANY good cirriculums. -.-

Report, edit, etc...Posted by DT_Battlekruser on 2005-12-03 at 14:07:55

True.dat

Report, edit, etc...Posted by Raindodger on 2005-12-06 at 16:10:18

lol DTBK reminds me of this little asian kid from my old middle school who came from 5th grade to take geometry with us?

Report, edit, etc...Posted by Centreri on 2005-12-06 at 16:27:29

QUOTE

No calculus isn't hard. You just have to get your mind around it.

I don't think that stuff is very hard once you know what each symbol means, I just don't know that yet. I know sin and that, but middle school would never teach that to students.
We're still doing basic algebra
5X - 12 = 4X
What does X equal to?
Its pathetic.

QUOTE

So In a TI-83+ Silver, I would just insert the function, graph it and how do I place that zero thing?

Calculator number + Silver? That scared me for a moment.

I can't help with that problem right now, but I can't wait until I get to that stuff in school >:D

Report, edit, etc...Posted by T-MaStAA on 2005-12-07 at 22:53:38

Yeah.... Grade nine regualr math. I feel so dumb.

Report, edit, etc...Posted by Freedawk on 2005-12-07 at 23:00:36

Lol...That is why I will go to a Private school for my whole life until College...College might be Virginia Tech...Scholarship for Football...

Math is easy...If you know how to do it...

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