/sci/ - Science & Math

If we have an equation:
<span class="math">
x = y
[/spoiler]
where x and y are some mathematical expressions, and we want to show it's true so we reduce it down to
<span class="math">
1 = 1
[/spoiler]
by manipulating both sides or only one side.

what kind of proof would this be classified as or is it even valid?

Is going to grad school worth it /sci/?

Can i get in for free (CS)?

>>4510317
So... basically... I take the derivative of atan(x^2) => 2x/(1+x^4)

then i put that in a Geometric series form

then tack on two integral signs to the left of it?

>>4361765
>Implying all programs are like medical and law school
>Implying there aren't many other solutions to pay off your grad school debt easily

Please don't be this dense

how is it possible that there's freely flowing water under a huge mother fucking cold ass ice block?


how is the lake not frozen?

/sci/ is there a way to have multiple commands in wolfram alpha to execute them all?

ex:
f(x) = x^2+x^4
sum[1,5,{f(i-1)+f(i)}]

>>4246243
What about the asteroid belt?

Why hasn't mercury been sucked up?

>>4238980
would you rather a world of beautiful retards?

>>4112429
what is that blackness inbetween mercury and the UFO?

/sci/ i need your help with optimization problems

A cylindrical can is to have volume 1900 cubic centimeters. Determine the radius and the height which will minimize the amount of material to be used.
Note that the surface area of a closed cylinder is S=2πrh+2πr2 and the volume of a cylindrical can is V=πr2h.


My work:
1900 = πr^2h
h = 1900/(πr^2)

S = 2πrh + 2πr^2
S = 2πr(1900/(πr^2)) + 2πr^2
S = 3800/r + 2πr^2
S' = -3800/r^2 + 4πr
0 = -3800/r^2 + 4πr
0 = r(4π - 3800/r^2)
0 = r //r > 0

0 = 4π - 3800/r^2
-3800/r^2 = -4π
3800/4π = r^2

r = sqrt(3800/(4π))

h = 1900/(π(sqrt(3800/(4π))^2))
h = 1900/(π(3800/(4π)))
Apparently I'm wrong and i don't know why.

Why did the asteroid belt form the way it did and in the location it did?

>playing a racing game

>>3259664
>Well she is right, in a since
>in a since
>since

>not dipping our penis in the acid solution to make sure its been neutralized

>this entire thread

>dont visit class for 3 weeks after last exam.(twice a week)
>look at syllabus
>exam in three days
>three days to cram three weeks of material
>mfw

crime doesnt pay kids.