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Calculus

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The circle defined by the equation x^2 + y^2 = 18 has two points where the slope of its tangent line is m=1. Find those points.

  • Calculus -

    LOL, sketch a graph !

  • Calculus -

    Good idea. However, in an attempt to use your math, and also to apply to a possibly more general problem later, try implicit differentiation:

    x^2 + y^2 = 18
    2x + 2yy' = 0
    y' = -x/y

    So, if -x/y = 1 and x^2+y^2 = 18,
    2x^2 = 18
    x = ±3

    Now, figuring y should not be too hard.

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