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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.

8. 0 ≤ r < 2, πθ ≤ 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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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th