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Determine the equation of the curve assumed by the cable -

Q. The cable of negligible mass is suspended from the two fixed points shown, and the tension at the lower support is sufficient to maintain zero slope of the cable at that point. The cable supports a unit load ω which decreases from 1000 N/m at x = 0 to 400 N/m at x = 12 m with the decrease proportional to x². Determine the equation of the curve assumed by the cable.

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