Chapter 10.2, Problem 114E

(a)

To determine

To graph: The complete curve $r=\cos \left(\frac{n\theta }{m}\right)$ for $n=2\text{ and }m=3$.

(b)

To determine

To graph: The complete curve $r=\cos \left(\frac{n\theta }{m}\right)$ for $n=3\text{ and }m=7$.

(c)

To determine

To find: A general rule in terms of n and m for determining the least Positive integer P such that the curve $r=\cos \left(\frac{n\theta }{m}\right)$ is a complete curve over the interval $\left[0,P\right]$.