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    Tangential line to a curve

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    The curve 2(x^2 + y^2)^2 = 25(x^2 - y^2) is called a Lemniscates.

    Find the tangent line at (3,1).

    (The problem is also attached in MS Word with the appropriate fonts)

    © BrainMass Inc. brainmass.com March 4, 2021, 5:36 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/tangential-line-curve-1783

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    Since y is not given as an explicit function of x here, it would be best not to try and find y' as an explicit function of x. Taking the derivative ...

    Solution Summary

    This shows how to find the tangent line to a Lemniscates curve.

    $2.49

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