Chapter 8.3, Problem 82E

(a)

To determine

To graph: The function $y=\cos bx$ on the interval $\left[0,2\pi \right]$ for $b=\frac{1}{2},2$ and $3$.

(b)

To determine

How the value of b affect the graph for the function $y=\cos bx$.

(c)

To determine

The number of complete cycles of the function $y=\cos bx$ on the interval $\left[0,2\pi \right]$ for $b=\frac{1}{2},2$ and $3$.