   Chapter 15.8, Problem 9E

Chapter
Section
Textbook Problem

Write the equation in spherical coordinates.9. (a) x2 + y2 + z2 = 9    (b) x2 – y2 – z2 = 1

(a)

To determine

To write: The given equation into spherical coordinates.

Explanation

Given:

The equation x2+y2+z2=9 .

Formula used:

The spherical coordinates (ρ,θ,ϕ) corresponding to the rectangular coordinates (x,y,z) is,

ρ=x2+y2+z2ϕ=cos1(zρ)θ=cos1(

(b)

To determine

To write: The given equation into spherical coordinates.

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