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Math Help - sketching a plane curve

  1. #1
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    sketching a plane curve

    Sketch the plane curve r(t)=<t^3,t^2>, find r'(1) and r''(1) , then sketch the position vector r(1), r'(1), r''(1) at the graph of the curve r(t)
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  2. #2
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    Re: sketching a plane curve

    To get a general idea of what the curve looks like eliminate the variable t.

    x=t^3 \quad y=t^2 this gives

    y=x^{2/3}=\sqrt[3]{x^2}

    Recall that

    \frac{d}{dt}\mathbf{r}(t)=<\frac{dx}{dt},\frac{dy}  {dt}>

    Give this a shot and try back if you are still stuck.
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  3. #3
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    Re: sketching a plane curve

    sketching a plane curve-photo-6-.jpg

    This is what I have so far. I am not sure how to sketch each of the position vectors.
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