**Question**: What is the unit sphere's equation in spherical coordinates? - \( \rho = 1 \) - \( \rho^2 + \theta^2 + \phi^2 = 1 \) - \( \rho = 2 \cos \phi \) - \( \rho = 2 \sin \phi \) - None of the above *Explanation*: In spherical coordinates, a unit sphere is defined by the condition \( \rho = 1 \), where \( \rho \) is the radial distance from the origin.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question**: What is the unit sphere's equation in spherical coordinates?

- \( \rho = 1 \)
- \( \rho^2 + \theta^2 + \phi^2 = 1 \)
- \( \rho = 2 \cos \phi \)
- \( \rho = 2 \sin \phi \)
- None of the above

*Explanation*: In spherical coordinates, a unit sphere is defined by the condition \( \rho = 1 \), where \( \rho \) is the radial distance from the origin.
Transcribed Image Text:**Question**: What is the unit sphere's equation in spherical coordinates? - \( \rho = 1 \) - \( \rho^2 + \theta^2 + \phi^2 = 1 \) - \( \rho = 2 \cos \phi \) - \( \rho = 2 \sin \phi \) - None of the above *Explanation*: In spherical coordinates, a unit sphere is defined by the condition \( \rho = 1 \), where \( \rho \) is the radial distance from the origin.
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