Consider the paraboloid defined by x-4y2+4z2. (a) Which of the following vector-valued functions gives a parametrization of this paraboloid? r(u, v) = (u, v, 4u? + 4v²) || r(u, v) = (4u² + 4v², u, v) r(u, v) = (4v cos(u), 4v sin(u), 16v²) r(u, v) = (4v cos(u), 16v2, 4v sin(u)) %3D

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.