Chapter 15.8, Problem 1E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of the point.

**1**. (a) (4,π/3,–2) (b) (2, –π/2, 1)

(a)

To determine

**To plot:** The given spherical coordinates and find the corresponding rectangular coordinates.

Explanation

**Given:**

The spherical coordinates

**Formula used:**

The rectangular coordinates

**Calculation:**

The given spherical coordinates

From the Figure 1, it is observed that the point 6 in the *x-*axis is rotated anti-clockwise to the angle
*z-*axis at the angle of

From the given conditions, it is observed that

(b)

To determine

**To plot:** The given spherical coordinates and find the corresponding rectangular coordinates.

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