   Chapter 15.8, Problem 8E

Chapter
Section
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

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Evaluate the expression sin Exercises 116. (23)2

Finite Mathematics and Applied Calculus (MindTap Course List)

Evaluate the indefinite integral. sec2tan3d

Single Variable Calculus: Early Transcendentals, Volume I

True or False: The graph of x = 5 is a cylinder.

Study Guide for Stewart's Multivariable Calculus, 8th

The third partial sum of is:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 