The surface S is parameterized by r(u, v) = (u, 2 cos(v), 2 sin(v)), 1 ≤ u ≤ 3,0 ≤ v≤n. 1. Identify the surface. a ellipsoid b cone c cylinder d paraboloid e plane 2. Find the normal vector ru x rv a (0,2 cos(v), -2 sin(v)) b (0,-2 cos(v), -2 sin(v)) c (1,2 cos(v), -2 sin(v)) d (1,-2 cos(v), -2 sin(v)) e none of the above (enter a, b, c, d, or e) (enter a, b, c, d, or e)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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The surface S is parameterized by
r(u, v) = (u, 2 cos(v), 2 sin(v)), 1 ≤ u ≤ 3,0 ≤ v ≤n.
1. Identify the surface.
a ellipsoid
b cone
c cylinder
d paraboloid
e plane
2. Find the normal vector ru x rv
a (0,2 cos(v), -2 sin(v))
b (0,-2 cos(v), -2 sin(v))
c (1,2 cos(v), -2 sin(v))
d (1,-2 cos(v), -2 sin(v))
e none of the above
(enter a, b, c, d, or e)
(enter a, b, c, d, or e)
Transcribed Image Text:The surface S is parameterized by r(u, v) = (u, 2 cos(v), 2 sin(v)), 1 ≤ u ≤ 3,0 ≤ v ≤n. 1. Identify the surface. a ellipsoid b cone c cylinder d paraboloid e plane 2. Find the normal vector ru x rv a (0,2 cos(v), -2 sin(v)) b (0,-2 cos(v), -2 sin(v)) c (1,2 cos(v), -2 sin(v)) d (1,-2 cos(v), -2 sin(v)) e none of the above (enter a, b, c, d, or e) (enter a, b, c, d, or e)
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