The cubical metal tank shown here has a parabolic gate held in place by bolts and designed to withstand a fluid 10 ft force of 448 lb without rupturing. The liquid you plan to store has a weight-density of 40 lb/ft". Complete parts (a) (-1,1) Ay (ft) (1,1) and (b). 10 ft y= x 2 x (ft ) 10 ft - 1 0 Parabolic gate Enlarged view of parabolic gate . . . a. What is the fluid force on the gate when the liquid is 8 feet deep? Using the given coordinate system, set up the integral that represents " force against the parabolic gate when the liquid is 8 feet deep. dy What is the fluid force on the gate when the liquid is 8 feet deep? (Round to the nearest hundredth as needed.)