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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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Section
BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Describe in words the surface whose equation is given.

6. ρ2 – 3ρ + 1 = 0

To determine

To describe: The surface whose equation is ρ23ρ+2 .

Explanation

Given:

The equation is, ρ23ρ+2 .

Formula used:

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

x=ρsinϕcosθy=ρsinϕsinθz=ρcosϕ

Description:

Solve the given equation,

ρ23ρ+2=0(ρ1)(ρ2)=0

Therefore, either ρ=1 or ρ=2 . Thus, the given equation represents the two regions

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Chapter 15 Solutions

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