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Parametric Equations graphs

  1. Dec 3, 2009 #1
    1. The problem statement, all variables and given/known data
    http://img704.imageshack.us/img704/5760/pqg.jpg [Broken]


    2. Relevant equations



    3. The attempt at a solution
    So i know that graph 2 is C
    also i know that A and G cant be any of those cuz its a circular shape..

    the rest i have no idea how to do in order to get those crazy graphs
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Dec 3, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    1 and 3 are clearly not periodic- x and y both have an overall increase. That tells you that they are not simply trig functions and that excludes A, B, C, and G. They do appear to have a symmetry about the line y+ x= some number. D is not symmetric so that's excluded leaving only E and F which, because of the "t" added increase steadily as t increases. Subtracting off that "t" is the same as rotating the x= y= t line to the x-axis:
    E then becomes x= -2sin(t) and y= -2cos(t) while F becomes x= sin(3t) and y= sin(4t). It should be easy to see which of those 1 and 3 correspond to.
     
  4. Dec 3, 2009 #3
    so all you did is just taking the t's out of it??!! that makes sense..
    one thing i dont really get is how you match it to the graph..
    i mean, i could guess cuz i had 50/50 but my point is to understand it.. cuz what if i have like 20 graphs to match :/
     
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