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Old 11-25-2001, 04:45 PM   #1
Za Ha
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HELP PLZ (hard math problem)

I need a problem solved. Plz help.

Find constants a,b,c, and d such that the graph of the function:

f(x)=ax^3+bx^2+cx+d
has a local extreme at (0.3) and a point of inflection at (1,-1).

If any one can answer this then A MILLION THANK YOU'S

If no one can; then can you give me some links where I can ask to get a quick answer.

PLEASE
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Old 11-25-2001, 04:48 PM   #2
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the answer is b to the power of 4

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Old 11-25-2001, 04:49 PM   #3
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The asnswer is R3K.

I had that same problem last year.
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Old 11-25-2001, 04:49 PM   #4
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Old 11-25-2001, 04:50 PM   #5
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... have your tried http://www.f(x)=ax^3+bx^2+cx+d.com ????

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Old 11-25-2001, 04:52 PM   #6
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You must be shitting me !

We're here to make money, not math problems !
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Old 11-25-2001, 04:54 PM   #7
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whats is x stands for ?
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Old 11-25-2001, 04:54 PM   #8
Za Ha
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Thanx for the "creative" replies but I have a major test tommorrow and I need to know how to do this cause its gonna be 30% of the mark.
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Old 11-25-2001, 04:55 PM   #9
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Damn, that brings back memories. I rember doing functions in college, but can't remeber how to do them now. If you have AOL, there's a forum there where you can get an answer.
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Old 11-25-2001, 04:57 PM   #10
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Geez, i gave you the answer, what more you want? Trust me, its right, go in tomorrow, mark that as the answer and get your 30%
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Old 11-25-2001, 04:57 PM   #11
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Give me a fucking break....pick up the damn book, pay attention in class and stop pretending to be a webmaster.

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Old 11-25-2001, 05:00 PM   #12
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Gary is just fucking with you the real answer is R3K!!

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Old 11-25-2001, 05:00 PM   #13
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Quote:
Originally posted by funkmaster:
... have your tried http://www.f(x)=ax^3+bx^2+cx+d.com ????

This url is 404 4me
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Old 11-25-2001, 05:01 PM   #14
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Quote:
Originally posted by Ludedude:
Give me a fucking break....pick up the damn book, pay attention in class and stop pretending to be a webmaster.

God damnit, you beat me to it.
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Old 11-25-2001, 05:01 PM   #15
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Oh, and in case anyone thinks I'm being too hard on the kid, the answer is here: http://www.geocities.com/CapeCanaver...26/page23.html

Now piss off

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Old 11-25-2001, 05:02 PM   #16
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Originally posted by [Labret]:
God damnit, you beat me to it.
Listen, we don't sleep at the switch out here in NY LOL!

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Old 11-25-2001, 05:05 PM   #17
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Quote:
Originally posted by Ludedude:
Oh, and in case anyone thinks I'm being too hard on the kid, the answer is here: http://www.geocities.com/CapeCanaver...26/page23.html

Now piss off

Wow thanx.
I owe you one
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Old 11-25-2001, 05:10 PM   #18
Za Ha
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Spoke to soon.
That page still doesn't help

Thanx for trying.
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Old 11-25-2001, 05:12 PM   #19
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b to the power of 4!
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Old 11-25-2001, 05:13 PM   #20
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The kids gonna flunk anyway. That problem isn't about the answer, it's about how to draw graphs with descriptions.

The idea is that they describe the points of interest, where the graph changes direction and where it's centered and you draw it.
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Old 11-25-2001, 05:20 PM   #21
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i chekced the that geocities website but i did not understand anything... But i guess this one is true too.

Take the deriviative of the equation and then set it to zero. And then take the second deriviative of the equation and set it to 1. And take the third deriviative and set it -1. This way you will have 3 equations and simply solve all oof them and then you will get the answers...

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Old 11-25-2001, 05:28 PM   #22
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Quote:
Originally posted by nemesis:
i chekced the that geocities website but i did not understand anything... But i guess this one is true too.

Take the deriviative of the equation and then set it to zero. And then take the second deriviative of the equation and set it to 1. And take the third deriviative and set it -1. This way you will have 3 equations and simply solve all oof them and then you will get the answers...

Not really working...
Can you contact me on icq 61294953
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Old 11-25-2001, 05:29 PM   #23
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I used to be good at this, but now I don't now how to get the right resolt!

From all the things I've lost
I miss my mind the most!

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Old 11-25-2001, 05:31 PM   #24
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does this class suppose to help you make alot of money?

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Old 11-25-2001, 05:31 PM   #25
Za Ha
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Quote:
Originally posted by 3Xguru:
I used to be good at this, but now I don't now how to get the right resolt!

From all the things I've lost
I miss my mind the most!

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Old 11-25-2001, 05:36 PM   #26
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Quote:
Originally posted by nemesis:
i chekced the that geocities website but i did not understand anything... But i guess this one is true too.
That's not quite right but you're on the right track. The first derivative will give you the location of the extrema because it's zero at that point (no slope) but taking the derivatives with constantes only gives you 3ax²+2bx+c=0, meaning you have to know how to sketch graphs to start with. And since you know the extrema is at 3,0 anyway it doesn't help much. But since you know the point of inflection and the graph is third order, you know the other zero is at 2, -5.
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Old 11-25-2001, 05:39 PM   #27
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f(x)=ax^3+bx^2+cx+d
f'(x)=3ax^2+2bx+c
f''(x)=6ax+2

Local Extreme (0/3):

0 = 3ax^2 + 2bx + c
0 = c

POI ( 1/-1):

0 = 6ax + 2
-1 = 6a + 2
-3 = 6a
a = -0.5

P(0/3):

3 = ax^3+bx^2+cx+d
3 = d

Now, insert all variables to get b using the POI:

-1=ax^3+bx^2+cx+d
-1 = -0.5x^3 + bx^2 + 3
x = 1

-1 = -0.5 + b + 3
-3.5 = b

Complete graph:

f(x) = -0.5x^3 - 3.5x^2 + 3

Just trying to see if this is correct:

f'(x) = -1.5x^2 - 7x
0 = -1.5x^2 - 7x
0 = x*(-1.5x -7)

x1 = 0 correct
x2 = 4.6

Oh, this is fun

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Old 11-25-2001, 05:43 PM   #28
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you ought to buy a ti-89. those things can do all calculus.
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Old 11-25-2001, 05:47 PM   #29
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There's an error somewhere but I'm too tired to look for it Maybe someone else can find it hehe.

It's been a long time since I did this at school

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Old 11-25-2001, 05:54 PM   #30
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Coke, I'm impressed...heh heh I was way too lazy to give it that much thought, but you are mostly right.

You forgot to take the other zeroes into account.

[This message has been edited by jimmy3way (edited 11-25-2001).]
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Old 11-25-2001, 05:54 PM   #31
Za Ha
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Thanx a lot everyone!
Keep the answers coming.

And the stupid comments
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Old 11-25-2001, 05:58 PM   #32
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b to the power of 4

Duh

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Old 11-25-2001, 06:00 PM   #33
Za Ha
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Quote:
Originally posted by Gary:
b to the power of 4

Duh

Thanx Gary,
I know you are never wrong.
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Old 11-25-2001, 06:01 PM   #34
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1)take the first deriviative

3ax^2+2bx+c=0

You will need to plug .3 to the equation.

.27a+.6b+c=0 (first equation)
2)Then take the second deriviative.

6ax+2b=0
Plug -1 for this.
-6a+2b=0 (second equation)

3)plug the 1 to the second deriviative

6a+2b=0

Then you should be able to grab the answers out of three equations...

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Old 11-25-2001, 06:05 PM   #35
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Oops, I missed the b right at the beginning, so it became a little too easy

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Old 11-25-2001, 06:15 PM   #36
Za Ha
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Close but still no answer.

Keep'em coming
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Old 11-25-2001, 06:15 PM   #37
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The answer:
f(x)=ax^3+bx^2+cx+d
ax^5+cx+d
ax^5+e
(0.7+c=xxx
Your answer is XXX




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Old 11-25-2001, 06:46 PM   #38
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I have a tough problem to coming up, that's 50% of my grade on my exam. If anyone can help me out, I'd appreciate it.

If Gary started with 5 goats and bought 10 goats a month, stole 4 goats per month, then breeded another 6 per month, THEN he had to give away 2 per month for the winners in his webmaster program. How many goats would he have in a years time ??
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Old 11-25-2001, 06:52 PM   #39
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Hey Slick, they dont really have goats way up where you live do they? I figured you guys counted pounds of whale blubber up there
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Old 11-25-2001, 07:21 PM   #40
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hey Za Ha,
if the extreme is at (0.3), i believe it will have infinite number of results and i can find you one that will satisfy the conditions.
if you have mistyped and it was (0,3) instead, then it will have only one result, that i can find it too.

let me know
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Old 11-25-2001, 07:51 PM   #41
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hmmm.....i'm still trying to figure it out your math promblem.
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Old 11-25-2001, 08:01 PM   #42
Za Ha
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Thanx everyone but you were all wrong

The correct answer is as follows:
y'=0 and therefore c=0
then you plug in (0,3) into your y and get d=3

Then you take y" and you get a=2b/6 and you find out what a is then you plug it back in and get your b.

I didnt figure that out yet cause I just wanted to post a reply.

Thanks for everyone that helped me get to this.

And have a nice day.

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Old 11-25-2001, 08:22 PM   #43
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Quote:
Originally posted by Za Ha:
Thanx everyone but you were all wrong

The correct answer is as follows:
y'=0 and therefore c=0
then you plug in (0,3) into your y and get d=3

Then you take y" and you get a=2b/6 and you find out what a is then you plug it back in and get your b.

I didnt figure that out yet cause I just wanted to post a reply.

Thanks for everyone that helped me get to this.

And have a nice day.

hmm...
i just asked you if you had mistyped (0,3) as (0.3) , and now you proved it

read my previous post
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Old 11-25-2001, 08:34 PM   #44
Za Ha
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Quote:
Originally posted by Lane:
hmm...
i just asked you if you had mistyped (0,3) as (0.3) , and now you proved it

read my previous post
damn sorry for the typo...
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Old 11-25-2001, 09:09 PM   #45
Lane
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Quote:
Originally posted by Za Ha:
damn sorry for the typo...
damn newbies!!

j/k
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Old 11-25-2001, 11:21 PM   #46
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You're all a bunch of nerds

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Old 11-25-2001, 11:21 PM   #47
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Quote:
Originally posted by Za Ha:
damn sorry for the typo...
If you ever pass your courses goddammit don't ever train for ME1.
I don't want you adjusting any fuggin' aircraft engines.

Typo...sheeit.

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Old 11-25-2001, 11:29 PM   #48
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Za Ha -- the answer is simple. Just sign up under me for thugcash, and we'll have the thugcash collection crew stop by your instructor's home.

30% hell, try 100%.

Either that or it's b to the power of 4.

Good luck.
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