   Chapter 10.3, Problem 8E

Chapter
Section
Textbook Problem

# Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.8. 0 ≤ r < 2, π ≤ θ ≤ 3π/2

To determine

To sketch: The region in the plane formed by the points whose polar coordinates satisfy the conditions 0<r<2 and πθ3π2 .

Explanation

The polar coordinate conditions are 0<r<2 and πθ3π2 .

For the condition r=2 , the curve forms a circle with the radius 2 . Therefore, the region lies inside the circle when r<2 .

For the condition πθ3π2 , the region lies on the third quadrant.

Therefore, the region formed by the points whose polar coordinates satisfy the conditions 0<r<2 and πθ3π2 is the third quadrant of the circle with radius 2

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