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myininaya
 5 years ago
calculus dream problem?
(fg)'=f'g' and (fg)''=f''g''
I don't think this what you guys are looking for but here what i did
myininaya
 5 years ago
calculus dream problem? (fg)'=f'g' and (fg)''=f''g'' I don't think this what you guys are looking for but here what i did

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0watchmath: ur problem has become famous..:D

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so this is your problem?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Check it here. It is solution for f. The g will be of the same form, but then the coefficients need to be adjusted.

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0i had a dream about this problem last night

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0i feel like i really dont sleep when i dream about math problems

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0i have to look at this later but im very interested thanks for the link

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i got as far as g = C e^ int ( f' / ( f'  f)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think, why did someone say , let F = e ^f, and G = e^g

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then ln F = f , and ln G = f ,

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Yes, that's good laplace. Then basically the idea is that from that g we can express, g' and g'' in terms of g. By doing that, then we have an equation in terms of f,f' and f'' only.

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0I mean after you find \(g=Ce^{\int f'/(f'f)}\)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Laplace, are you cantorset?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, but dont tell anyone

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0my account has been suspended,

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0im here to do math, not to debate with admin :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so from that g , whats g ' , its ...

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0do you see the pdf file that I attached above?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0g ' = f' ( f'  f) C e ^ ( int f' / f'  f ) ?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0correct, which is f'g/(f'f)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh im going backwards,

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0this problem has many twists and turns

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0one sec , im going to read

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0there is some little mistake whenn I said that if f'=f then f'g=0 it should be then fg'=0. But similar to what I wrote we will arrive a t contradiction.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can fix it and send me new pdf?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or you already updated? i dont know how to write pdf's, thats pretty cool

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i also want to solve that torus problem,

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Here is the updated version:

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Are you teaching as a TA laplace?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, i tutor at the moment online

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0a TA is what? a teacher assistant?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Yes, usually if you take a graduate program in math you are a TA as well.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry was away, i enjoy math. but sometimes i cant remember the last problem i was working on. some people say its ok to forget all the loose ends problems, and start fresh. dunno. i have various interests in math, linear algebra, diff eq. they always end up in an interesting problem

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0If you have an interesting problem please post it here: http://www.ask.watchmath.com

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0whats an easy way to draw a graph and upload it? microsoft paint?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0is it a graph of a well defined function? if it is you can plot it at http://fooplot.com and save it as an image

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and how would you upload it, whats a good site

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i use sendspace.com, not sure how long they keep it up

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0where do you want to upload the picture?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well i can draw problems and solve them, and you can look over

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0www.sendspace.com , is a website that you can upload anything

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok heres a question i was working on, i got no solution 2/ln 3 * ln ( x  5) = log base 3 ( x2) + log base 3 (5x) , i made the right side a product and then changed base

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0so the left hand side is \(\frac{2}{\ln 3\ln(x5)}\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0nope, ln (x5) in numerator

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i know, its ambiguous when you have a bad student :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0im careful, i use CAS (computer algebra software)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0maple, did you know that maple cant find tan (105 degrees) ,

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0tan ( 105* Pi/180) , its an exact angle, i want to complain to the makers

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Oh ok, then by the change of base formula we have \(2\log_3(x5)=\log_3((x2)(5x))\) So \((x5)^2=(x2)(5x)\) \(x^210x+255=5x^210x\) \(4x^2=225\) \(x=\pm\frac{15}{2}\) only the postive one works

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0sorry ..... It should be 4x^2=25 So x=5/2 then no solution as well

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0weird to give a student

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you changed the left side to log base 3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.02/ln 3 * ln ( x  5) = log base 3 ( x2) + log base 3 (5x) , what happened to your left side?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0your left side is log _3 (x5) / log _3 ln 3 * 2/ln 3

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0remember that \[\log_ba=\frac{\log_c a}{\log_cb}\] Where you can choose your c as you like. Choosince c to be the natural number e, then the left side is exactly \(\log_3((x5))\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right, i followed the rule

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but you have 2/ln 3 *log _3 (x5) / log _3 (ln 3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and whats log _3 of ln 3 ? log base 3 of ln 3

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0In that case I thin we can't simplify it nicely.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0its funny you did that and still got right answer. my instinct would be to change the right side to ln instead of log base 3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so it must be the case that ln 3 * log_3 ln 3 = 1 ?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0it is equal to ln(ln 3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh i think i see it now

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for the left side we have 2/( ln 3) * ln (x5) = 2/ln 3 * log_3 (x5) / log _3 (e) = 2 *log_3 (x5) * 1/ ( ln 3 * log _3 (e) = log _3 (x5)^2 * 1/ ( log _3 e^(ln 3) ) = log _3 (x5)^2* 1 / ( log _3 3 ) = log_3 (x5)^2 * 1
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