   Chapter 10.3, Problem 10E

Chapter
Section
Textbook Problem

# Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.10. 1 ≤ r ≤ 3, π/6 < θ < 5π/6

To determine

To sketch: The region in the plane formed by the points whose polar coordinates satisfy the conditions 1r3 and π6<θ<5π6 .

Explanation

For the condition r=1 and r=3 , the curve forms a circle with the radius 1 and 3 respectively. Therefore, the region given by the condition 1r3 lies between the circles with radius 1 and 3.

The condition for the coordinate θ is π6<θ<5π6 . Therefore the region spreads from π6 in the first quadrant to 5π6 in the second quadrant

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