(5) Pumping - Integrating along the y-axis. Consider a full watering trough with an isosceles trapazoidal...

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(5) Pumping - Integrating along the y-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 weight density of water 9, 800N/m. Hint: Imagine the bottom of the face of the trough sitting on the x-axis symmetric about (and parallel to) the y-axis. Just like in problem (4), draw a sample slice, label points, identify the needed formula for the boundary and rewrite it as x = ... y-axis (0, 0) x-axis (5) Pumping - Integrating along the y-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 weight density of water 9, 800N/m. Hint: Imagine the bottom of the face of the trough sitting on the x-axis symmetric about (and parallel to) the y-axis. Just like in problem (4), draw a sample slice, label points, identify the needed formula for the boundary and rewrite it as x = ... y-axis (0, 0) x-axis