Question

Due Date: On or before 04/02/19 (Points will be deducted for late submissions) Attached this paper with answers. Let T(x.y) be the temperature function of a 10ft x 10ft room on a winter night, where one cormer of the room is at (0,0) and the opposite corner is at (10,10). (a) Graph the T(x,y) when T-0&T-78 (b) Find the temperature gradient at (5,0). ( (b) Describe the likely floor locations of the heat vents you preferred to put and explain why? (c) Suppose you like to sleep with a temperature of 70 degree or less, where would you put the bed? 0.0), (10.5), (10,10), (5,10).(0.10), (0.5) and graph the gradients at the points of the room Investigation A team of oceanographers is mapping the ocean floor to assist in the recovery of a sunken ship. Using sonar, they develop the model D-250 + 301x2 + 50 sin 0sxs2.0 sys2 where D is the depth in meters, and x and y are the distances in kilometers (a) What is the depth of the ship if it located at the coordinates x 4 and y -2 (b) Determine the steepness of the ocean floor in the direction of (2i -4j) from the position of the ship. (c) Determine the direction of the greatest rate of change of depth.

Answer 1

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