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Parametric curve tangent help

  1. May 11, 2016 #1
    1. The problem statement, all variables and given/known data

    Consider the parametric curve given by:

    x=6cos(2t),

    y=t5/2.

    Calculate the equation of the tangent to this curve at the point given by t=π/4, in the form y=mx+c.

    The tangent is given by y=

    2. Relevant equations



    3. The attempt at a solution

    the answer that I got was y=-0.145x+0.547 but it says that it is wrong

    I did this by subbing in the value of t for x and y and also the differential of x and y and then calculating the slope

    but I am not sure what I have done wrong
     
  2. jcsd
  3. May 11, 2016 #2

    ehild

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    Homework Helper
    Gold Member

    How can we know what you did wrong if you do not show your work?
     
  4. May 11, 2016 #3

    Ray Vickson

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    Do you mean ##y = (5/2)t##, ##y = t^{5/2}##, ##y = t^5/2 = \frac{1}{2} t^5##, or what? Use parenthesis, like this: y = (5/2)t or y = t*(5/2) or y = t^(5/2) or y =(t^5)/2, or whatever is appropriate.
     
  5. May 11, 2016 #4
    sorry the question didnt copy properly it should say t^(5/2)
     
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