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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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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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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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