CAS PROJECT. Polar Representations. Use your CAS to graph

Chapter 9, Problem 9.5

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CAS PROJECT. Polar Representations. Use your CAS to graph the following famous curves4 and investigate their form depending on parameters a and b. p = ae Spiral of Archimedes p = aebe Logarithmic spiral 2a sin2 e p= cos e Cissoid of Diocles a p = -- + b Conchoid of Nic011ledes cos e p = ale Hyperbolic spiral 3a sin 2e p = Folium of Descartes cos3 e + sin3 e sin 3e p = 2a --- Maclaurin's trisectrix sin 2e p = 2a cos e + b Pascal's snail

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