CAS PROJECT. Polar Representations. Use your CAS to graph the following famous curves4
Chapter 9, Problem 9.1.176(choose chapter or problem)
CAS PROJECT. Polar Representations. Use your CAS to graph the following famous curves4 and investigate their form depending on parameters a and b.
\(\rho=a \theta\) Spiral of Archimedes
\(\rho=a e^{b \theta}\) Logarithmic spiral
\(\rho=\frac{2 a \sin ^{2} \theta}{\cos \theta}\) Cissoid of Diocles
\(\rho=\frac{a}{\cos \theta}+b\) Conchoid of Nicomedes
\(\rho=a / \theta\) Hyperbolic spiral
\(\rho=\frac{3 a \sin 2 \theta}{\cos ^{3} \theta+\sin ^{3} \theta}\) Folium of Descartes
\(\rho=2 a \frac{\sin 3 \theta}{\sin 2 \theta}\) Maclaurin's trisectrix
\(\rho=2 a \cos \theta+b\) Pascal's snail
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