At 3 P.M. an oil tanker traveling west in the ocean at 10 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 2 P.M. while traveling north at 12 kilometers per hour. If the "spot" is represented by the origin, find the location of the oil tanker and the location of the luxury liner t hours after 2 P.M. Then find the distance D between the oil tanker and the luxury liner at that time.D(t) =     At what time were the ships closest together? (Hint: Minimize the distance (or the square of the distance!) between them.) The time is : P.M. (Round down to the nearest minute.)

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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.