MODELING WITH MATHEMATICS One of the largest sewing machines in the world has a flywheel...

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MODELING WITH MATHEMATICS One of the largest sewing machines in the world has a flywheel (which turns as the machine sews) that is 5 feet in diameter. The highest point of the handle at the edge of the flywheel is 9 feet above the ground, and the lowest point is 4 feet. The wheel makes a complete turn every 2 seconds. Write a model for the height h (in feet) of the handle as a function f the time (in seconds) given that the handle is at its lowest point when /=0.

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