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Math Help - AP Calc HW problem help

  1. #1
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    Question AP Calc HW problem help

    Consider the fxn -> f(x) = kx^2 + 3

    (a) If the tangent lines to the graph of F at (t, F(t)) are perpendicular, find t in terms of k

    (b) Find the slopes of the tangent lines mentioned in part (a)

    (c) Find the coordinates of the point of intersection of the tangent lines mentioned in (a)

    ----------------------------------

    for (a): I tried....

    f(x) = k(t)^2 +3
    y=k(t)^2 + 3

    t = +/- sqrt((y-3)/k)) <-- this doesn't seem right?
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  2. #2
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    Quote Originally Posted by autounion View Post
    Consider the fxn -> f(x) = kx^2 + 3

    (a) If the tangent lines to the graph of F at (t, F(t)) are perpendicular, find t in terms of k

    it seems there is more than one function involved ... if so, what is the function F ? if not, I can't see how a single function can have perpendicular tangent lines (note, plural) at the same point
    ...
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  3. #3
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    Quote Originally Posted by skeeter View Post
    ...
    Three is only one function. It is just one tangent line. Not plural. Thanks!
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