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Calculus Early Transcendentals 3rd Edition

Beautiful curves Consider the family of curves

$$\begin{array}{l}x=\left(2+\frac{1}{2} \sin a t\right) \cos \left(t+\frac{\sin b t}{c}\right) \\y=\left(2+\frac{1}{2} \sin a t\right) \sin \left(t+\frac{\sin b t}{c}\right)\end{array}$$

Plot a graph of the curve for the given values of $a, b,$ and $c$ with $0 \leq t \leq 2 \pi$.

$$a=7, b=4, c=1$$