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Finding the area of a disk divided by a parabola function.

  1. Feb 3, 2013 #1
    1. The problem statement, all variables and given/known data
    The parabola y=1/2 x^2 divides the disk x^2+y^2 <or= to 8 into two equal parts. Find the area of both parts.


    2. Relevant equations



    3. The attempt at a solution
    I have no idea of how to go about solving this. We haven't done any application problems until now and when I transferred colleges they were several chapters ahead so I'm struggling as it is. If someone could give me a system to go about solving these and point me in the right direction I'd be very grateful.
     
  2. jcsd
  3. Feb 3, 2013 #2

    mfb

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    Do you know how to calculate an area under a curve?
    Do you know how to calculate an area between two functions?

    Those two parts don't look equal to me.
     
  4. Feb 3, 2013 #3

    jbunniii

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    Drawing a picture seems like a good start. In particular, at what points do the two curves intersect?
     
  5. Feb 3, 2013 #4

    jbunniii

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    Agree, this question seems wrong as stated. One of the two "halves" will contain the entire bottom half of the disk and then some.
     
  6. Feb 3, 2013 #5

    haruspex

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    I suspect a transcription error. Maybe the original says "unequal".
     
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