Please double check your answer and explain fully. 10.5 - Parametrized Surfaces1. Describe the surface with the parametrization x(u, v) = cos(u), y(u, v) = sin(u), z(u, v) = vfor 0

The parametrization, x(u, v) = cos (u), y(u, v) = sin (u), z(u, v) = v, Interval : 0≤u≤2π, v ∈ ℝ

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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

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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Please double check your answer and explain fully.

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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