Consider a full watering trough with an isosceles trapazoidal face. The trough is 4 meters tall,...

 

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Consider a full watering trough with an isosceles trapazoidal face. The trough is 4 meters tall, 4 meters wide at the top, 2 meters wide at the bottom, and 5 meters long. Set up AND evaluate the integral needed to deter- mine the work required to pump all the water out over the top edge of the trough. Use the water mass density 1000 Kg/m and magnitude of gravity g = 9.8 m/s. Hint: Imagine the bottom of the face of the trough sitting on the x-axis symmetric about (and parallel to) the y-axis. draw a sample slice, label points, identify the needed formula for the boundary and rewrite it as z = ... y-axis (0,0) x-axis Consider a full watering trough with an isosceles trapazoidal face. The trough is 4 meters tall, 4 meters wide at the top, 2 meters wide at the bottom, and 5 meters long. Set up AND evaluate the integral needed to deter- mine the work required to pump all the water out over the top edge of the trough. Use the water mass density 1000 Kg/m and magnitude of gravity g = 9.8 m/s. Hint: Imagine the bottom of the face of the trough sitting on the x-axis symmetric about (and parallel to) the y-axis. draw a sample slice, label points, identify the needed formula for the boundary and rewrite it as z = ... y-axis (0,0) x-axis