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Graphing vector functions help please urgent

  1. Jul 13, 2014 #1
    1. The problem statement, all variables and given/known data
    graph the curve C that is described by r and graph r′ at the indicated value of t.

    I've attached the actual question as a picture as a picture file


    2. Relevant equations

    none

    3. The attempt at a solution

    I know x(t)= 2, y(t)=t , z(t)=4/1+t^2

    when x=0, r(t)=t+4/1+t^2

    when y=0, r(t)=2+4/1+t^2

    when z=0, r(t)=2+t

    Beyond this I have no idea what to do :( Any help would be very much appreciated, as this is quite urgent. Thank you in advance! (:
     

    Attached Files:

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    Last edited: Jul 13, 2014
  2. jcsd
  3. Jul 13, 2014 #2

    Ray Vickson

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    Science Advisor
    Homework Helper

    Where do you get
    [tex] z(t) = \frac{4}{1} + t^2 \, ?[/tex]
    I see
    [tex] z(t) = \frac{4}{1+t^2}.[/tex]
    Did you mean z(t) = 4/(1+t^2), using parentheses to make it read properly?

    Anyway, you are not allowed to set x = 0, because x(t) = 2 always. You are allowed to set y = 0, but only by setting t = 0 (because y(t) = t), etc. I cannot figure out what you are trying to do. The question asked you to plot ##\mathbf{r}(t)##, which is a curve in three dimensions; but since x = 2 always, it is really a plane-curve involving y and z, lying in the plane x = 2.
     
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