III. Let S be the surface with equation a x² + y² + 2²-16x + 6y - 4z +76 = 0. = 2√y+1 and let 2 be the sphere with equation 1. Provide a hand-drawn sketch of the surface S₁. Indicate proper rulings. 2. Determine the center and the radius of the sphere S2. 3. The x-intercept of surrace and the center of sphere 2 are endpoints of a diameter of another sphere S. Determine the equation (in center-radius form) of S.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.2: Ellipses
Problem 1E: An ellipse is the set of all points in the plane for which the ____ of the distances from two fixed...
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III. Let S be the surface with equation a = 2√√y+1 and let 2 be the sphere with equation
x² + y² + z² 16x+6y - 4z + 76 = 0.
1. Provide a hand-drawn sketch of the surface S₁. Indicate proper rulings.
2. Determine the center and the radius of the sphere S2.
3. The x-intercept of surrace
and the center of sphere 2 are endpoints of a diameter of another
sphere . Determine the equation (in center-radius form) of S.
Transcribed Image Text:III. Let S be the surface with equation a = 2√√y+1 and let 2 be the sphere with equation x² + y² + z² 16x+6y - 4z + 76 = 0. 1. Provide a hand-drawn sketch of the surface S₁. Indicate proper rulings. 2. Determine the center and the radius of the sphere S2. 3. The x-intercept of surrace and the center of sphere 2 are endpoints of a diameter of another sphere . Determine the equation (in center-radius form) of S.
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