The acceleration g due to gravity at a distance r from the


Question: The acceleration g due to gravity, at a distance r from the center of a planet of mass m, is given by

g = Gm/r2

where G is the universal gravitational constant.

(a) Find ∂g/∂m and ∂g/∂r.

(b) Interpret each of the partial derivatives you found in part (a) as the slope of a graph in the plane and sketch the graph.

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Mathematics: The acceleration g due to gravity at a distance r from the
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