Which of the following best describes the surface with parameterization r(u, v) = (4 cos (v), 4 sin (v), u²), over the parameter domain D = {(u, v) | 0 ≤ u ≤ 7, 0 ≤ v ≤ 2n}? Select the correct answer below: O Circular cone O Circular cylinder O Circular paraboloid Elliptic cone O Elliptic cylinder O Elliptic paraboloid

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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Which of the following best describes the surface with parameterization r(u, v) = (4 cos (v), 4 sin (v), u²), over the
parameter domain D = {(u, v) | 0 ≤ u ≤ 7, 0 ≤ v ≤ 2n}?
Select the correct answer below:
O Circular cone
O Circular cylinder
O Circular paraboloid
Elliptic cone
O Elliptic cylinder
O Elliptic paraboloid
Transcribed Image Text:Which of the following best describes the surface with parameterization r(u, v) = (4 cos (v), 4 sin (v), u²), over the parameter domain D = {(u, v) | 0 ≤ u ≤ 7, 0 ≤ v ≤ 2n}? Select the correct answer below: O Circular cone O Circular cylinder O Circular paraboloid Elliptic cone O Elliptic cylinder O Elliptic paraboloid
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