Identify the surface Describe the surface with the given parametric representation. r(u, v) = ⟨v cos u, v sin u, 4v⟩ , for 0 ≤ u ≤ π, 0 ≤ v ≤ 3

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Identify the surface Describe the surface with the given parametric representation.

r(u, v) = ⟨v cos u, v sin u, 4v⟩ , for 0 ≤ uπ, 0 ≤ v ≤ 3

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