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Magazine Problem 145
For the following exercises, find rectangular coordinates for the given point in polar coordinates. \(\left(1, \frac{7 \pi}{6}\right)\)
Problem 146
For the following exercises, find rectangular coordinates for the given point in polar coordinates. \(\left(-3, \frac{3 \pi}{4}\right)\)
Problem 147
For the following exercises, find rectangular coordinates for the given point in polar coordinates. \(\left(0, \frac{\pi}{2}\right)\)
Problem 148
For the following exercises, find rectangular coordinates for the given point in polar coordinates. \(\quad(-4.5,6.5)\)
Problem 149
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. \(r=3 \sin (2 \theta)\)
Problem 150
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. \(r^{2}=9 \cos \theta\)
Problem 151
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. \(r=\cos \left(\frac{\theta}{5}\right)\)
Problem 152
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. \(\quad r=2 \sec \theta\)
Problem 153
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. \(\quad r=1+\cos \theta\)
Problem 154
For the following exercises, describe the graph of each polar equation. Confirm each description by converting into a rectangular equation. \(\quad r=3\)
