?a. Graph the curve \(\mathbf{r}(t)=(4+\cos (18 t)) \cos (t) \mathbf{i}+(4+\cos (18 t)
Chapter 3, Problem 40(choose chapter or problem)
a. Graph the curve \(\mathbf{r}(t)=(4+\cos (18 t)) \cos (t) \mathbf{i}+(4+\cos (18 t) \sin (t)) \mathbf{j}+0.3 \sin (18 t) \mathbf{k}\) using two viewing angles of your choice to see the overall shape of the curve.
b. Does the curve resemble a “slinky”?
c. What changes to the equation should be made to increase the number of coils of the slinky?
Text Transcription:
r(t) = (4 + cos (18t)) cos (t) i + (4 + cos (18t) sin (t)) j + 0.3sin (18t) k
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