# Gradient Problem

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Suppose that distances are measured in light-years and that the temperature T of a gaseous nebula is inversely proportional to the distance from a fixed point, which we take to be the origin (0,0,0). Suppose that the temperature 1 light-year from the origin is 200 degrees Celsius. Find the gradient of T at (x,y,z).

f = ____ i + ______ j + ______k

Note: Your answers should be expressions of x, y and z; e.g. "3x - 4y"

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#### Solution Summary

The gradient of temperature in a nebula is found. The solution is detailed and well presented.

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