Chapter 12.5, Problem 71E

(a)

To determine

To Calculate: The curvature k for the polar curve $r=e^{a\theta },a>0$ and determine the limit of the curvature, k, as $\theta \to \infty$.

(b)

To determine

To Calculate: The curvature k for the polar curve $r=e^{a\theta },a>0$ and determine the limit of the curvature, k, as $a\to \infty$.