halp mee wit mi maths houmwurk ples

[Goombs]

If x = 5t^2 and y = 10t, find dy/dx and d^2y/dx^2 in terms of t.

whoever finds it AND shows the work will get 20k in game money. Good Luck!

 

[DreadySemicolon]

What are "dy" and "dx"? If they're something like sine and cosine you should say that, it makes it easier for non-native English speakers to understand the meaning of generic terms *^*

 

[Goombs]

its just a joke Professor -_-

 

[DreadySemicolon]

I'm sorry for trying to be nice and answer an actual question without any indication of it being a joke aside from the title, smartbottom "-_-"
Addendum: I don't understand the hostility's raison d'être.

 

[Goombs]

sheesh it's 7th grade write-up excuses all over again. "you write me up for being nice and asking for a pencil". xD, Umm Semi, im sorry for whatever, i, did, idk. ...

 

[ChickenSaysBak]

u wot :^

 

[PandaMaxTPN]

is mayonnaise a instrument?

 

[Dannelboyz]

Two ways to work out dy/dx:

Alt 1.
t = y/10
x = 5(y/10)^2
x/5 = (y^2)/100
20x = y^2
d(y^2)/dx = d(20x)/dx
d(y^2)/dy . dy/dx= 20
2y . dy/dx = 20
dy/dx = 10/y
dy/dx = 10/10t
dy/dx = 1/t

Alt 2.
dt/dy . dx/dt = dx/dy
dx/dy = d(y/10)/dy . d(5t^2)/dt
dx/dy = 1/10 . 10t
dx/dy = t
dy/dx = 1/(dx/dy)
dy/dx = 1/t

Two ways to work out d^2y/dx^2
Alt 1.
dy/dx = 10/y
d^2y/dx^2 = d(10/y)/dx
d^2y/dx^2 = d(10/y)/dy . dy/dx
d^2y/dx^2 = (-10/y^2) . 10/y
d^2y/dx^2 = -100/y^3
d^2y/dx^2 = -100/y^3
d^2y/dx^2 = -1/10t^3

Alt 2.
dy/dx = 1/t
d^2y/dx^2 = d(1/t)/dx
d^2y/dx^2 = (d(1/t)/dt)/(dx/dt)
d^2y/dx^2 = (-1/t^2)/(d(5t^2)/dt)
d^2y/dx^2 = (-1/t^2)/(10t)
d^2y/dx^2 = -1/10t^3

Therefore:
dy/dx = 1/t
d^2y/dx^2 = -1/10t^3

I will have my 20k now thx.

 

[ViolaEllen]

I sould leave this post is about math ._.

 

[Dannelboyz]

So when do I get my money? @Goombs

 

[Goombs]

dude, ill find you when ur on

 

[sushi_miner1234]

is mayonnaise a instrument?

I thought spaghetti was an instrument!

 

[PandaMaxTPN]

I thought spaghetti was an instrument!

*Spaggetti-O's