III. Let ₁ be the surface x² +y² +2². 16x + 6y with equation x 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 surface and the center of sphere S2 are endpoints of a diameter of another sphere . Determine the equation (in center-radius form) of S.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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III. Let ₁ be the surface with equation x
x² + y² + z²-16x + 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 surface S₁ and the center of sphere S2 are endpoints of a diameter of another
sphere S. Determine the equation (in center-radius form) of S.
Transcribed Image Text:III. Let ₁ be the surface with equation x x² + y² + z²-16x + 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 surface S₁ and the center of sphere S2 are endpoints of a diameter of another sphere S. Determine the equation (in center-radius form) of S.
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