The linear density of a cable wire is the rate of change of its mass with respect to its length. A nonhomogeneous cable has a length of 9 feet and a total mass of 24 slugs. If the mass of a section of the cable wire of length x (measured from its leftmost end) is proportional to the square root of this length, Compute the density of the cable wire 4 ft from its leftmost end.

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