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cdubbz111
Psycho for hire



Registered: 01/11/09
Posts: 426
Last seen: 12 years, 7 months
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I gots a head scratcher!!
#13485322 - 11/14/10 10:04 PM (13 years, 7 months ago) |
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limx->0+ xsinx read: the limit as x aproaches zero from the positive side of x to the sin of x (x^(sinx))
its an 0^0 indeterminate form, but im not sure how to go about converting it into a 0/0 or infinity/infinity form so i can use L'Hospital's formula... damnit i need an answer or atleast a point in the right direction for this F'n problem....
if you can succesfully help me, ive got freebies... and 2 more problems that deal with related rates....
Dueces....
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realfuzzhead



Registered: 03/03/10
Posts: 10,783
Loc: above the smog layer
Last seen: 1 year, 7 months
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Re: I gots a head scratcher!! [Re: cdubbz111]
#13485336 - 11/14/10 10:08 PM (13 years, 7 months ago) |
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simply divide the f(x) by the prime number of the sum of the first two intergers, from there take the square root, times it by itself, and round the the nearest 10nth
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cdubbz111
Psycho for hire



Registered: 01/11/09
Posts: 426
Last seen: 12 years, 7 months
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trollQuote:
realfuzzhead said: simply divide the f(x) by the prime number of the sum of the first two intergers, from there take the square root, times it by itself, and round the the nearest 10nth
nice troll...
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realfuzzhead



Registered: 03/03/10
Posts: 10,783
Loc: above the smog layer
Last seen: 1 year, 7 months
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Re: I gots a head scratcher!! [Re: cdubbz111]
#13485378 - 11/14/10 10:19 PM (13 years, 7 months ago) |
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well i had no idea wtf your talking about so i decided i might as well occupy you for a full 5 seconds
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Simplepowa
In Pursuit of Knowledge


Registered: 03/06/09
Posts: 4,310
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Re: I gots a head scratcher!! [Re: cdubbz111]
#13485454 - 11/14/10 10:39 PM (13 years, 7 months ago) |
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Quote:
cdubbz111 said: limx->0+ xsinx read: the limit as x aproaches zero from the positive side of x to the sin of x (x^(sinx))
its an 0^0 indeterminate form, but im not sure how to go about converting it into a 0/0 or infinity/infinity form so i can use L'Hospital's formula... damnit i need an answer or atleast a point in the right direction for this F'n problem....
if you can succesfully help me, ive got freebies... and 2 more problems that deal with related rates....
Dueces....
Edit: didn't read accurately haha
Edit2: or maybe yes, I should not be erase thing like this.
It's 1 year since I've done thse maths so, it could be not true.
y = x^sin(x) ln(y) = ln(x^sin(x)) ln(y) = sin(x) ln(x) d/dx [ ln(y) ] = d/dx [ sin(x) ln(x) ] 1/y dy/dx = sin(x)/x + ln(x)cos(x) dy/dx = x^sin(x) [ sin(x)/x + ln(x)cos(x) ] dy/dx = x^(sin(x)-1) [ sin(x) + x ln(x) cos(x) ]
Answer: x^(sin(x)-1) [ sin(x) + x ln(x) cos(x) ]
PS if you didn't understand the above implicit differentiation, then rewrite x^sin(x) as e^[sin(x) ln(x)] d/dx e^[sin(x) ln(x)] let u = sin(x) ln(x) and use the chain rule: d/dx = d/du du/dx d/dx e^[sin(x) ln(x)] = d/du e^u d/dx [sin(x) ln(x)] = e^u [sin(x)/x + ln(x) cos(x) ] = e^[sin(x) ln(x)] [ sin(x)/x + ln(x) cos(x) ] = x^sin(x) [ sin(x)/x + ln(x) cos(x) ] = x^(sin(x)-1) [ sin(x) + x ln(x) cos(x) ]
same answer, different approach.
http://answers.yahoo.com/question/index?qid=20081010133515AAK1QJJ
** too tired to do it myself
after, replace all of your x by 0,0000000000000000000000000000000000001 so +0
0^(sin(0)-1)*(sin(0)+0*ln(0)*cos(0))= 0^(0-1)*(0+0) = 0
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Carl Sagan - "Who are we? We find that we live on an insignificant planet of a humdrum star lost in a galaxy tucked away in some forgotten corner of a universe in which there are far more galaxies than people." --- Robert Pirsig - "When one person suffers from a delusion it is called insanity. When many people suffer from a delusion it is called religion." --- Brian Cox - "[One] problem with today’s world is that everyone believes they have the right to express their opinion AND have others listen to it. The correct statement of individual rights is that everyone has the right to an opinion, but crucially, that opinion can be roundly ignored and even made fun of, particularly if it is demonstrably nonsense."
Edited by Simplepowa (11/14/10 10:41 PM)
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mattritt
Mind Chemist




Registered: 02/02/08
Posts: 2,292
Last seen: 8 years, 4 months
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Re: I gots a head scratcher!! [Re: Simplepowa]
#13485480 - 11/14/10 10:46 PM (13 years, 7 months ago) |
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YERFFF, Your math talk burns my skull!!
-------------------- **Metaphysical Crystal, Stones, Gems, and Minerals** Every individual reacts differently to every chemical. Know your Body - Know your Mind - Know your Substance - Know your Source.
"You need more THC to your brain, faster." - Drr
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JesusGoneRogue

Registered: 10/24/10
Posts: 9,495
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Re: I gots a head scratcher!! [Re: mattritt]
#13485515 - 11/14/10 10:54 PM (13 years, 7 months ago) |
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i admire that people on here can do this crap.
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MuddinPede
Stranger



Registered: 04/07/09
Posts: 283
Last seen: 12 years, 6 months
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I'm failing calculus at the moment. I have no clue what's going on in that class...
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cdubbz111
Psycho for hire



Registered: 01/11/09
Posts: 426
Last seen: 12 years, 7 months
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Re: I gots a head scratcher!! [Re: MuddinPede]
#13487498 - 11/15/10 12:24 PM (13 years, 7 months ago) |
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hehe i figgured it out this mornin at work, nat log both sides... take deriv, sub back orig. eq...
simple powa, i will have prints of TC in about a week give or take a bit.. would you like some or is there something i could do to aid you?
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Simplepowa
In Pursuit of Knowledge


Registered: 03/06/09
Posts: 4,310
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Re: I gots a head scratcher!! [Re: cdubbz111]
#13489232 - 11/15/10 06:39 PM (13 years, 7 months ago) |
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Ah no thanks, no need to thanks me in any way.
It is just normal to help a fellow shroomerite!

I'm not even sure if I got it all good as this has been a long time since I've done these maths haha.
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Carl Sagan - "Who are we? We find that we live on an insignificant planet of a humdrum star lost in a galaxy tucked away in some forgotten corner of a universe in which there are far more galaxies than people." --- Robert Pirsig - "When one person suffers from a delusion it is called insanity. When many people suffer from a delusion it is called religion." --- Brian Cox - "[One] problem with today’s world is that everyone believes they have the right to express their opinion AND have others listen to it. The correct statement of individual rights is that everyone has the right to an opinion, but crucially, that opinion can be roundly ignored and even made fun of, particularly if it is demonstrably nonsense."
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