identify the type ( cylindrical or quadratic) and graph each surface. Give a careful explanation. a) z+y^2 =4 b) y^2 = 4x^2 + 9z^2

Q: Consider the paraboloid given by the equation z = x^2 + y^2. Find the coordinates of the vertex and…

A: A paraboloid is a quadric surface that has exactly one axis of symmetry and no center. The given…

Q: 5. Find the standard form equation of a sphere that has a diameter with endpoints (3, -2, 4) and (7,…

A: Given : The end points of a diameter of a sphere are  (3, -2, 4) and (7, 1, 4). To find : We have to…

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Q: (r – 1)? + (y + 2)² + (z – 1)² = 49

A:

Q: Identify and sketch by hand the graph of the quadric surface 36x² − 9y² +162² +36y - 180 = 0. You…

A:

Q: find the equation of a sphere. x^2 +y^2 + z^2 +2x - 2z -2 = 0

A: see the details solution in below