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Math Help - region enclosed by parabolas

  1. #1
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    region enclosed by parabolas

    Find c0 such that the area of the region enclosed by the parabolas y=x2c2 and y=c2x2 is 340.
    c=
    can someone solve this
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  2. #2
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    Quote Originally Posted by dat1611 View Post
    Find c0 such that the area of the region enclosed by the parabolas y=x2c2 and y=c2x2 is 340.
    c=
    can someone solve this
    sketch a graph and note the region is symmetrical to both axes, making the area in each quadrant the same ...

    \int_0^c c^2 - x^2 \, dx = \frac{340}{4}

    solve for c
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    i still dont get it
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  4. #4
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    look at the graph ...

    the top graph is y = c^2 - x^2

    the bottom graph is y = x^2 - c^2

    the x-intercepts for both are \pm c
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    so whats the answer
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  6. #6
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    Quote Originally Posted by dat1611 View Post
    so whats the answer
    I set it up for you in my first post ... work it out and see what you get for c.
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    solve for c

    im not sure how to solve for c here
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  8. #8
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    Quote Originally Posted by dat1611 View Post


    solve for c

    im not sure how to solve for c here
    evaluate the definite integral using the Fundamental Theorem of Calculus ... set the result equal to 340/4 and solve for c.
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  9. #9
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    ok i got it
    c=5.03311
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