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Describe the surface with the parametrization x(u, v) = cos(u), y(u, v) = sin(u), z(u, v) = for 0

Describe the surface with the parametrization x(u, v) = cos(u), y(u, v) = sin(u), z(u, v) = for 0

Calculus: Early Transcendentals
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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10.5 - Parametrized Surfaces 1. Describe the surface with the parametrization x(u, v) = cos(u), y(u, v) = sin(u), z(u, v) = v for 0 <us2n and v E R. (Suggestions: Simply Googling "graph parametric surfaces" will bring you to a Desmos page where you can graph this surface using technology. It may also help to observe that x and y have "circle-ish" equations, while z has a "line-ish' equation, and although x and y are related, z is not related to either x or y.)
Transcribed Image Text:10.5 - Parametrized Surfaces 1. Describe the surface with the parametrization x(u, v) = cos(u), y(u, v) = sin(u), z(u, v) = v for 0 <us2n and v E R. (Suggestions: Simply Googling "graph parametric surfaces" will bring you to a Desmos page where you can graph this surface using technology. It may also help to observe that x and y have "circle-ish" equations, while z has a "line-ish' equation, and although x and y are related, z is not related to either x or y.)
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