Question: (10 pts ) A triangular plate sits 2 m beneath the surface of the water, as shown. The plate has height 5 m and base
(10 pts ) A triangular plate sits 2 m beneath the surface of the water, as shown. The plate has height 5 m and base 4 m .a. Label x=0 and x=xi** on the diagram.b. Find the hydrostatic force on the slice of the plate, in terms of xi** and x.c. Write a Riemann sum that approximates the total hydrostatic force on one side of the plate.d. Write an integral that gives the actual value of the hydrostatic force on one side of the plate. Set up the integral but do NOT evaluate.Page 5 of 58.(10 pts ) A triangular plate sits 2 m beneath the surface of the water, as shown. The plate has height 5 m and base 4 m .a. Label x=0 and x=xi** on the diagram.b. Find the hydrostatic force on the slice of the plate, in terms of xi** and x.c. Write a Riemann sum that approximates the total hydrostatic force on one side of the plate.d. Write an integral that gives the actual value of the hydrostatic force on one side of the plate. Set up the integral but do NOT evaluate.9. A metal plate shaped like a half circle with radius 4 m sits at the bottom of a 6 m pool, as shuwn.a. Label x=0 and x=xi** on the diagram.b. Find the hydrostatic force on the slice of the plate, in terms of xi** and x.
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