   Chapter 15.7, Problem 4E

Chapter
Section
Textbook Problem

Change from rectangular to cylindrical coordinates.4. (a) ( − 2 ,   2 ,   1 ) (b) (2, 2, 2)

(a)

To determine

To find: The corresponding cylindrical coordinates for the given point.

Explanation

Given:

The rectangular coordinates (2,2,1) .

Formula used:

The cylindrical coordinates (r,θ,z) corresponding to the rectangular coordinates (x,y,z) is,

r=x2+y2θ=tan1(yx)z=z

Calculation:

From the given conditions, it is observed that x=2,y=2,z=1 .

Obtain the cylindrical coordinates by the formula mentioned above

(b)

To determine

To find: The corresponding cylindrical coordinates for the given point.

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