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First Semester in Numerical Analysis with Julia, 2020a

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CHAPTER 3. INTERPOLATION 139<br />

a Seuss, 1955. On Beyond Zebra! Random House for Young Readers.<br />

Exercise 3.4-3: Limaçon is a curve, named after a French word for snail, that appears<br />

<strong>in</strong> the study of planetary motion. The polar equation for the curve is r =1+c s<strong>in</strong> θ where<br />

c is a constant. Below is a plot of the curve when c =1.<br />

The x, y coord<strong>in</strong>ates of the dots on the curve are displayed <strong>in</strong> the follow<strong>in</strong>g table:<br />

x 0 0.5 1 1.3 0 -1.3 -1 -0.5 0<br />

y 0 -0.25 0 0.71 2 0.71 0 -0.25 0

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