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Let C denote the following disconnected surface: C={(x, y, z) = R³ | x²+ y²=1Ux²+ y² = 4, −1

Let C denote the following disconnected surface: C={(x, y, z) = R³ | x²+ y²=1Ux²+ y² = 4, −1

Elementary Geometry For College Students, 7e
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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Question
Let C denote the following disconnected surface: C={(x, y, z) = R³ | x²+ y²=1Ux²+ y² = 4, −1<z<1}. which describes a small cylinder surrounded by a larger cylinder. Moreover, let us orient C such that the outer cylinder has outward orientation and the inner cylinder is oriented inwards. Sketch this surface.
Transcribed Image Text:Let C denote the following disconnected surface: C={(x, y, z) = R³ | x²+ y²=1Ux²+ y² = 4, −1<z<1}. which describes a small cylinder surrounded by a larger cylinder. Moreover, let us orient C such that the outer cylinder has outward orientation and the inner cylinder is oriented inwards. Sketch this surface.
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