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.

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