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Math 115a Mathematica exercises #1

# Math 115a Mathematica exercises #1 - 2 1.5 1 0.5-1-0.5 0.5...

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Unformatted text preview: 2 1.5 1 0.5 -1 -0.5 0.5 1 k=0 1 0.5 -1 -0.5 0.5 1 -0.5 -1 k=1 1 0.5 -1 -0.5 0.5 1 -0.5 -1 0.2 k=3 0.1 -1 -0.5 -0.1 0.5 1 -0.2 0.03 0.02 0.01 k=5 -1 -0.5 -0.01 -0.02 0.5 1 k=7 0.004 0.002 -1 -0.5 -0.002 -0.004 0.5 1 k=9 0.0015 0.001 0.0005 -1 -0.5 -0.0005 -0.001 -0.0015 0.5 1 k=11 As k approaches infinity the graph goes from being a unit circle to pinching in towards the y-axis and the x-axis, eventually resembling the x and y-axes. 6. 3 2.5 2 1.5 1 0.5 0.5 1 1.5 2 ParametricPlot[{2*(Cos[t])^2,3*(Sin[t])^2},{t,0,2*Pi}] The product of the x-coordinates and y-coordinates of two ellipses is a straight line. ...
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Math 115a Mathematica exercises #1 - 2 1.5 1 0.5-1-0.5 0.5...

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