(a) Consider the two surfaces p (given in cylindrical coordinates). Are they the same surface, or are they different surfaces? Explain your answer. 3 csc(o) (given in spherical coordinates) and r = 3 (b) Consider the two surfaces sin(ø) = cos(ø) (given in spherical coordinates) and z = Vr2 (given in cylindrical coordinates). Are they the same surface, or are they different surfaces? Explain your answer.

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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(a) Consider the two surfaces p =
(given in cylindrical coordinates). Are they the same surface, or are they different
surfaces? Explain your answer.
3 csc(ø) (given in spherical coordinates) and r =
3
Vr2
(b) Consider the two surfaces sin(ø) = cos(4) (given in spherical coordinates) and z =
(given in cylindrical coordinates). Are they the same surface, or are they different
surfaces? Explain your answer.
Transcribed Image Text:(a) Consider the two surfaces p = (given in cylindrical coordinates). Are they the same surface, or are they different surfaces? Explain your answer. 3 csc(ø) (given in spherical coordinates) and r = 3 Vr2 (b) Consider the two surfaces sin(ø) = cos(4) (given in spherical coordinates) and z = (given in cylindrical coordinates). Are they the same surface, or are they different surfaces? Explain your answer.
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