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Mathematics, 19.06.2021 05:40 fahad7007

An insect is very sensitive to temperature. The temperature (in C) at any point (x, y) (meters east and meters north from origin) is defined by the function T=f(x, y) = 10+10cos (x)sin(xy) . The insect’s home is 5 meters east and 12 meters south of the origin. A. The insect is at home. Compute the direction the insect should move if it would like to travel in the direction of the highest temperature increase.
B. The insect is moving from its home towards its origin. Compute the rate at which the temperature is changing moving in the direction towards the origin.

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An insect is very sensitive to temperature. The temperature (in C) at any point (x, y) (meters east...
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