Chapter 16.3, Problem 31E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Determine whether or not the given set is (a) open, (b) connected, and (c) simply-connected.

**31.** {(*x*,* y*) | 0 < *y* < 3}

**(a)**

To determine

Whether the given set is open or not.

Explanation

**Given data:**

Set is

The set

Draw the set

**(b)**

To determine

Whether the given set is connected or not.

**(c)**

To determine

Whether the given set is simply-connected or not.

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