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Math Help - Plot Inequality Area of polar equation? Using Wolfram Alpha or Matlab?

  1. #1
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    Plot Inequality Area of polar equation? Using Wolfram Alpha or Matlab?

    I want to plot or graph the inequality area between two polar equations.

    For example, I'd like to plot the area between r = 3 \sin \theta and r = 4 \sin \theta.

    I am very familiar with both Matlab and Wolfram Alpha, however I can't figure out how to do this. Any suggestions?
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  2. #2
    Grand Panjandrum
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    Re: Plot Inequality Area of polar equation? Using Wolfram Alpha or Matlab?

    Quote Originally Posted by VinceW View Post
    I want to plot or graph the inequality area between two polar equations.

    For example, I'd like to plot the area between r = 3 \sin \theta and r = 4 \sin \theta.

    I am very familiar with both Matlab and Wolfram Alpha, however I can't figure out how to do this. Any suggestions?
    Construct an indicator variable which is 1 in the area in question and 0 elsewhere on a r, \theta grid (or x,y grid if you prefer). Now do a density plot (a colour 3D plot looking down from above) of the indicator variable.

    CB
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