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Magazine Problem 131
In the following exercises, plot the point whose polar coordinates are given by first constructing the angle \(\theta\) and then marking off the distance \(r\) along the ray. $$\left(1, \frac{\pi}{2}\right)$$
Problem 136
For the following exercises, the rectangular coordinates of a point are given. Find two sets of polar coordinates for the point in \((0,2 \pi]\). Round to three decimal places. (2,2)
Problem 137
For the following exercises, the rectangular coordinates of a point are given. Find two sets of polar coordinates for the point in \((0,2 \pi]\). Round to three decimal places. (3,-4)(3,-4)
Problem 138
For the following exercises, the rectangular coordinates of a point are given. Find two sets of polar coordinates for the point in \((0,2 \pi]\). Round to three decimal places. (8,15)
Problem 139
For the following exercises, the rectangular coordinates of a point are given. Find two sets of polar coordinates for the point in \((0,2 \pi]\). Round to three decimal places. (-6,8)
Problem 140
For the following exercises, the rectangular coordinates of a point are given. Find two sets of polar coordinates for the point in \((0,2 \pi]\). Round to three decimal places. (4,3)
Problem 141
For the following exercises, the rectangular coordinates of a point are given. Find two sets of polar coordinates for the point in \((0,2 \pi]\). Round to three decimal places. \((3,-\sqrt{3})\)
Problem 142
For the following exercises, find rectangular coordinates for the given point in polar coordinates. \(\left(2, \frac{5 \pi}{4}\right)\)
Problem 143
For the following exercises, find rectangular coordinates for the given point in polar coordinates. \(\left(-2, \frac{\pi}{6}\right)\)
Problem 144
For the following exercises, find rectangular coordinates for the given point in polar coordinates. \(\left(5, \frac{\pi}{3}\right)\)
