The cable of negligible mass is suspended from the two fixed points shown, and the tension...

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 w which increases from 200 N/m at x = 0 to 800 N/m at x = 10 m with the increase proportional to x3/2. Determine the tension in the cable at A and the equation of the curve assumed by the cable. What is the tension in the cable at B for this loading?