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- A heat-seeking particle is located at the point (2, −3) on a metal plate whose temperature at (x, y) is T(x, y) = 20 − 4x2 − y2. Find the path of the particle as it continuously moves in the direction of maximum temperature increase.When should they stop their engine so that they reach the space station? What is there position when they stop their engine?Evaliate this using Squeze Theorm
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- Solve using crama's rule: 2x - 2y + 3z = 13 5x - y + 4z = 11 x + 3y - z = -106. An airplane, flying at 450 km/hr at a constant altitude of 5 km, is approaching a cameramounted on the ground. Let θ be the angle of elevation above the ground at which the camerais pointed. When θ=π~3, how fast does the camera have to rotate in order to keep the planein view?I need help with part c - covariance of xy.