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. Consider the parabola C: z-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).

. Consider the parabola C: z-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).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 25E
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I will upvote if this is typewritten. much appreciated. thank you so much

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. ANSWER 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. ANSWER 1
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