   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 of 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

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