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Finding asymptotes of parametric equations

  1. Jun 25, 2010 #1
    Find the asymptotes of the parametric equations

    The graph looks like this:

    My attempt:
    Is my presentation correct? Do I also need to consider as x approaches 0 ?

    The reasons I ask is because I couldn't find the asymptotes of
    if I use the above presentation...
    Please guide me...

    Attached Files:

  2. jcsd
  3. Jun 25, 2010 #2


    Staff: Mentor

    The first problem looks fine, although you could have done it without solving for t in the first equation. Just look at what happens to x and y as x gets large or approaches zero. If x = 0, y = pi/4. All this is, is the y-intercept.

    For the second problem, there aren't any asymptotes. As x --> infinity, x --> -infinity and y --> +infinity. As x --> -infinity, x --> -infinity and y --> -infinity. For intercepts, set x = 0 and solve for t, then substitute it into the other equation. That will give you the y-intercept(s). Set y = 0 and solve for t, then substitute it into the other equation, to get the x-intercepts(s).
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