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1. Parameterize the following surfaces: (a) The part of the parabolic cylinder z = 1 - x? bounded by the planes z = 0, y = 0 and y+ z = 2. %3D (b) The part of the plane y +z = 2 bounded by the parabolic cylinder z =1-1² and the plane z = 0.

1. Parameterize the following surfaces: (a) The part of the parabolic cylinder z = 1 - x? bounded by the planes z = 0, y = 0 and y+ z = 2. %3D (b) The part of the plane y +z = 2 bounded by the parabolic cylinder z =1-1² and the plane z = 0.

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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1. Parameterize the following surfaces: (a) The part of the parabolic cylinder z = 1- r bounded by the planes z = 0, y = 0 and y +z = 2. (b) The part of the plane y + z = 2 bounded by the parabolic cylinder z = 1 – x² and the plane z = 0.
Transcribed Image Text:1. Parameterize the following surfaces: (a) The part of the parabolic cylinder z = 1- r bounded by the planes z = 0, y = 0 and y +z = 2. (b) The part of the plane y + z = 2 bounded by the parabolic cylinder z = 1 – x² and the plane z = 0.
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