Chapter 12.6, Problem 43E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Sketch the region bounded by the surfaces
*x*^{2} + *y*^{2} = 1 for 1 ≤ *z* ≤ 2.

To determine

**To sketch**: The region bounded by the surfaces

Explanation

**Given data:**

Surface equations are

**Formula used:**

Consider the standard equation of circular cone along the *z* axis.

Consider the given surface equation.

Take square on both sides.

By comparing equation (2) with (1), the given surface equation satisfies the equation of a circular cone along the *z*-axis.

Find *a*, *b*, and *c* by comparing equation (2) with equation (1).

The value of *a* is

The value of *b* is

The value of *c* is

**Case i:**

Let

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