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Math Help - Taylor series question

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    Taylor series question

    How would I find the second-degree Taylor series for x^2+y^2=4 at [1, -\sqrt[]{3}]?
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  2. #2
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    Re: Taylor series question

    Quote Originally Posted by Anewk View Post
    How would I find the second-degree Taylor series for x^2+y^2=4 at [1, -\sqrt[]{3}]?
    note that given the point they want you to expand about, $(1,-\sqrt{3})$ you can write

    $y(x)=-\sqrt{4-x^2}$

    and just take the first couple of derivatives and evaluate at $x=1$ and plug into your taylor series formula.
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