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ctmusicgirl7

  • 2 years ago

How do I isolate the x in y = 4x - x^2?

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  1. hartnn
    • 2 years ago
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    why do you need to isolate x from there ?

  2. ctmusicgirl7
    • 2 years ago
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    I need to express the function in terms of y

  3. IsTim
    • 2 years ago
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    Maybe it's just really late....but isn't that already "y"?

  4. ctmusicgirl7
    • 2 years ago
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    ...ok i meant in terms of x then whoops

  5. IsTim
    • 2 years ago
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    Oh. Ha ha. Made me confused.

  6. ctmusicgirl7
    • 2 years ago
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    basically i need to turn it into a "x=" form instead of "y="

  7. IsTim
    • 2 years ago
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    Herrhhh....What grade/course level is this?

  8. ctmusicgirl7
    • 2 years ago
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    I actually need this for a calculus proble, but I'm having a brain fart.

  9. IsTim
    • 2 years ago
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    OH..so ln and e^x and all that?

  10. ctmusicgirl7
    • 2 years ago
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    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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  11. IsTim
    • 2 years ago
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    Or do you have to do derivatives too?

  12. ctmusicgirl7
    • 2 years ago
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    I'm using integrals because I need to find the volume of a graph rotated around the y axis

  13. binarymimic
    • 2 years ago
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    why dont you just complete a square

  14. IsTim
    • 2 years ago
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    Wait..does that diagram incldue x,y, z planes, or is that just 2D?

  15. ctmusicgirl7
    • 2 years ago
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    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.

  16. hartnn
    • 2 years ago
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    completing the square will do it., do you know how to ?

  17. ctmusicgirl7
    • 2 years ago
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    That's the whole problem I'm working on right now.

  18. ctmusicgirl7
    • 2 years ago
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    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

  19. binarymimic
    • 2 years ago
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    if you ever need to solve a quadratic just complete a square

  20. binarymimic
    • 2 years ago
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    in this case you need to solve for x, so complete a square to do it o_o

  21. ctmusicgirl7
    • 2 years ago
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    I'm not trying to solve it though. I need to have the x isolated :( Solvng it gives me a numerical answer.

  22. ctmusicgirl7
    • 2 years ago
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    -I feel really stupid right now lol-

  23. IsTim
    • 2 years ago
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    Hey, don't say that, or I'll feel stupid for not remembering anything.

  24. hartnn
    • 2 years ago
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    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' ?

  25. binarymimic
    • 2 years ago
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    they condition us to grow accustomed to f(x)! f(y) is just as important =[

  26. ctmusicgirl7
    • 2 years ago
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    GOD BLESS YOU HARTNN lol

  27. ctmusicgirl7
    • 2 years ago
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    Thank you everyone, I've got it now :) haha

  28. hartnn
    • 2 years ago
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    lol! you too :)

  29. hartnn
    • 2 years ago
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    welcome ^_^

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