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Magazine Problem 289
For the following exercises, use a graphing calculator to sketch the graph of the polar equation. $$ r=\theta^{2} $$
Problem 290
For the following exercises, use a graphing calculator to sketch the graph of the polar equation. $$ r=\theta+1 $$
Problem 291
For the following exercises, use a graphing calculator to sketch the graph of the polar equation. $$ r=\theta \sin \theta $$
Problem 292
For the following exercises, use a graphing calculator to sketch the graph of the polar equation. $$ r=\theta \cos \theta $$
Problem 293
For the following exercises, use a graphing urility to graph each pair of polar equations on a domain of \([0,4 \pi]\) and then explain the differences shown in the graphs. $$ r=\theta, r=-\theta $$
Problem 294
For the following exercises, use a graphing urility to graph each pair of polar equations on a domain of \([0,4 \pi]\) and then explain the differences shown in the graphs. $$ r=\theta, r=\theta+\sin \theta $$
Problem 295
For the following exercises, use a graphing urility to graph each pair of polar equations on a domain of \([0,4 \pi]\) and then explain the differences shown in the graphs. $$ r=\sin \theta+\theta, r=\sin \theta-\theta $$
Problem 296
For the following exercises, use a graphing urility to graph each pair of polar equations on a domain of \([0,4 \pi]\) and then explain the differences shown in the graphs. $$ r=2 \sin \left(\frac{\theta}{2}\right), r=\theta \sin \left(\frac{\theta}{\left(\frac{\theta}{2}\right)}\right) $$
Problem 297
For the following exercises, use a graphing urility to graph each pair of polar equations on a domain of \([0,4 \pi]\) and then explain the differences shown in the graphs. $$ r=\sin (\cos (3 \theta)) r=\sin (3 \theta) $$
Problem 298
On a graphing utility, graph \(r=\sin \left(\frac{16}{5} \theta\right)\) on \([0,4 \pi],[0,8 \pi],[0,12 \pi],\) and \([0,16 \pi]\) Describe the effect of increasing the width of the domain.
