Question: 5. A tractor pulls a trailer across a field, exerting a force variable in time: F(t) = 8+ cos(t)N. The car moves at a speed

5. A tractor pulls a trailer across a field, exerting a force variable in time: F(t) = 8+ cos(t)N. The car moves at a speed constant 28 m/s. Find the work done by the horse in the first 50 seconds.

6. For a sheet with constant density, bounded by the graph of the

functions f(x) = x - 5x+1 and g(x) = -x + 5x + 1, find the center of mass.

7. Each end of a horizontal tank is an ellipse with a horizontal axis of 4 m and a vertical axis of 2 m. Calculate the pressure at one end when the tank is half full of oil weighing 800 kg/m.

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