Calculus
# Polar Equations

\[A: r= \frac{1 - (.03)^2}{1+.03\cos\theta}\]

and

\[B: r= 1.52\left(\frac{1 - (.09)^2}{1+.09\cos\theta}\right).\]

Which is the equation for Earth's orbit?

\[(x^2 + y^2)^3 = (x^2 - y^2)^2,\]

whose graph is shown, describes a *Quadrifolium*. What is its equation in polar coordinates?

Which is the graph of the Archimedean Spiral?

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