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Homework Help: Polar Plot with r^2

  1. Sep 18, 2013 #1
    Area problem regarding [tex]r^2=8cos(2θ)[/tex] and some other curve.

    I don't understand how to plot this. I started off with a table of values. I get confused when [tex] θ = π/2[/tex]. I thought it would give [tex]r^2 = -8[/tex]. But looking at mathematica it gives a leminiscate that crosses the origin. How come? Is it because it would give imaginary values? Should I even take the square root? I was doing fine when it was just r = whatever.

  2. jcsd
  3. Sep 18, 2013 #2


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    You can't get any point for the curve where r^2 is a negative number. Just plot over values of theta that give you a nonnegative number.
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