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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Identify the surface whose equation is given.

8.ρ = cos ϕ

To determine

To identify: The surface whose equation is ρ=cosϕ .

Explanation

Given:

The equation ρ=cosϕ .

Formula used:

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

x=ρsinϕcosθy=ρsinϕsinθz=ρcosϕ

Identification:

From the formula mentioned above, the given equation becomes,

ρ=cosϕρ2=ρcosϕx2+y2+z2=zx2+y2+z2z=0

Add and subtract 14 ,

x2+y2+z2z14

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Chapter 15 Solutions

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