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Math Help - A little help with calculus cross section project?

  1. #1
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    A little help with calculus cross section project?

    So for a cross section calculus project I need to find equations that when combined make a tennis racket looking base. So far the equations I've used are:

    y= +/- √(9((-x^2)+1))

    and

    y= +/- 1.81e^x

    So my questions are:

    *How do I make the equation so that the handle of the tennis racket does not look thin as a stick? So, how do I make the handle on both sides are not so close to the x-axis?

    *Also, if it is possible, how do you stop the y= +/- 1.81e^2 right when it intersects with the "oval", so it doesn't go onto infinity?

    Thanks for your help!
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  2. #2
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    Your question is a little vague. What I would do is assume the racket is oriented in a Cartesian coordinate system in such a way that the x- axis as the axis of symmetry. The curve giving the region will then be of the form y=\pm f(x) plus a vertical line for the end of the handle. f(x) will then need to be given by a multi-part rule which, when graphed, gives the upper part of the racket.
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