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III. Consider the parabola C: 2-4 = -(x - 2)² on the xzz-plane. 1. Find the center-radius form of the equation of the sphere having as diameter the line segment joining the vertex of C and the point P(-2,-4,2).

III. Consider the parabola C: 2-4 = -(x - 2)² on the xzz-plane. 1. Find the center-radius form of the equation of the sphere having as diameter the line segment joining the vertex of C and the point P(-2,-4,2).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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III. Consider the parabola C: 2 - 4 = -(x - 2)2 on the xz-plane. 1. Find the center-radius form of the equation of the sphere having as diameter the line segment joining the vertex of C and the point P(-2,-4, 2). 2. Sketch the portion of the cylinder with directrix C between the planes y = 0 and y = 3 in the first octant. 3. Give an equation for the surface of revolution generated when C is revolved about the x-axis. [1]
Transcribed Image Text:III. Consider the parabola C: 2 - 4 = -(x - 2)2 on the xz-plane. 1. Find the center-radius form of the equation of the sphere having as diameter the line segment joining the vertex of C and the point P(-2,-4, 2). 2. Sketch the portion of the cylinder with directrix C between the planes y = 0 and y = 3 in the first octant. 3. Give an equation for the surface of revolution generated when C is revolved about the x-axis. [1]
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