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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

Identify the surfaces whose equations are given. (a) θ = π/4 (b) ϕ = π/4

(a)

To determine

To identify: The surface whose equation is θ=π4 .

Explanation

Given:

The equation is, θ=π4 .

Formula used:

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

x=ρsinϕcosθy=ρsinϕsinθz=ρcosϕ

Description:

From the formula mentioned above,

θ=π4tanθ

(b)

To determine

To identify: The surface whose equation is ϕ=π4 .

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Chapter 15 Solutions

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