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Math Help - point of inflection

  1. #1
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    point of inflection

    Determine A and B so that the curve
    y = A cos2x + B sin3x
    has a point of inflection at ( \Pi/6,  5).
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  2. #2
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    Quote Originally Posted by 450081592 View Post
    Determine A and B so that the curve
    y = A cos2x + B sin3x
    has a point of inflection at ( \Pi/6,  5).
    You know that the point given has to be on the curve in order to be an inflection point. So plug in the values for x and y and you'll get a relation in terms of A and B.

    Now find y'' like you normally would to find inflection points. Set y''=0 and now you have a second relation. Two variables, two equations.
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