Question: Given a temperature distribution in a room defined by the scalar field T ( x , y , z ) = 1 0 + 2

Given a temperature distribution in a room defined by the scalar field T(x,y,z)=10+2x-3y+
4 z , where T is in degrees Celsius, and x,y,z are in meters:
a) Compute the gradient of the temperature field.
b) Find the rate of temperature change in the direction of the vector v=2i+j-k at the point (1,
2,3).
Given a temperature distribution in a room

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