Assignment:
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"
Provide complete and step by step solution for the question and show calculations and use formulas.