anonymous
  • anonymous
How do I isolate the x in y = 4x - x^2?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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hartnn
  • hartnn
why do you need to isolate x from there ?
anonymous
  • anonymous
I need to express the function in terms of y
IsTim
  • IsTim
Maybe it's just really late....but isn't that already "y"?

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anonymous
  • anonymous
...ok i meant in terms of x then whoops
IsTim
  • IsTim
Oh. Ha ha. Made me confused.
anonymous
  • anonymous
basically i need to turn it into a "x=" form instead of "y="
IsTim
  • IsTim
Herrhhh....What grade/course level is this?
anonymous
  • anonymous
I actually need this for a calculus proble, but I'm having a brain fart.
IsTim
  • IsTim
OH..so ln and e^x and all that?
anonymous
  • anonymous
i need to find the radii of the "outer circle" and "inner circle" of the cross section that looks like a donut, so in order to express the radius in terms of the equation, i need it in terms of "x="
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IsTim
  • IsTim
Or do you have to do derivatives too?
anonymous
  • anonymous
I'm using integrals because I need to find the volume of a graph rotated around the y axis
anonymous
  • anonymous
why dont you just complete a square
IsTim
  • IsTim
Wait..does that diagram incldue x,y, z planes, or is that just 2D?
anonymous
  • anonymous
It should be 3D. Okay, the reason why I'm asking this "x isolation" question is because I need to find the volume of the graph of y = 4x - x^2 rotated around the y-axis and bounded by y=0.
hartnn
  • hartnn
completing the square will do it., do you know how to ?
anonymous
  • anonymous
That's the whole problem I'm working on right now.
anonymous
  • anonymous
I tried using the quadrative formula, but I got a numerical answer. Am I using it wrong? I'm having a big brain fart right now T_T
anonymous
  • anonymous
if you ever need to solve a quadratic just complete a square
anonymous
  • anonymous
in this case you need to solve for x, so complete a square to do it o_o
anonymous
  • anonymous
I'm not trying to solve it though. I need to have the x isolated :( Solvng it gives me a numerical answer.
anonymous
  • anonymous
-I feel really stupid right now lol-
IsTim
  • IsTim
Hey, don't say that, or I'll feel stupid for not remembering anything.
hartnn
  • hartnn
let me give you first few steps.... y= 4x-x^2 = -(x^2-4x+4-4) -y = (x-2)^2-4 now can you isolate 'x' ?
anonymous
  • anonymous
they condition us to grow accustomed to f(x)! f(y) is just as important =[
anonymous
  • anonymous
GOD BLESS YOU HARTNN lol
anonymous
  • anonymous
Thank you everyone, I've got it now :) haha
hartnn
  • hartnn
lol! you too :)
hartnn
  • hartnn
welcome ^_^

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