Consider the curve C on the yz-plane with equation y? – z + 2 = 0 (a) Sketch a portion of the right cylinder with directrix C in the first octant. (b) Find the equation of the surface of revolution generated by revolving C about the z-axis and sketch its graph in a three-dimensional coordinate system.

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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Consider the curve C on the yz-plane with equation y? – z + 2 = 0
(a) Sketch a portion of the right cylinder with directrix C in the first octant.
(b) Find the equation of the surface of revolution generated by revolving C about the z-axis and
sketch its graph in a three-dimensional coordinate system.
Transcribed Image Text:Consider the curve C on the yz-plane with equation y? – z + 2 = 0 (a) Sketch a portion of the right cylinder with directrix C in the first octant. (b) Find the equation of the surface of revolution generated by revolving C about the z-axis and sketch its graph in a three-dimensional coordinate system.
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