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Homework Help: Nature of roots

  1. Dec 1, 2008 #1
    1. The problem statement, all variables and given/known data
    The equation of a curve is y=[tex]\frac{3x}{\sqrt{1+x}}[/tex].
    Given that the equation of the tangent to the curve at the point x=3 us 15x-16y=k , find the value of k.


    2. Relevant equations

    3. The attempt at a solution
    Last edited: Dec 1, 2008
  2. jcsd
  3. Dec 1, 2008 #2


    Staff: Mentor

    Do you know the y-coordinate on the curve when x = 3?
    Do you know how to find the slope of a curve (i.e., the slope of the tangent line to the curve)?
    Do you know how to find the slope of the line 15x - 16y = k?
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