A hamster wheel is in a cage on top of a table. The height of the hamster above the table in centimeters as it runs on the wheel can be modelled by the function h(t) = -6 cos(4πt) + 10 Where t represent time in seconds. a) What is the period of the function? What does the period represent in the context of this problem? b) Determine the height, to the nearest tenth of a centimeter, of the hamster after 32 seconds.

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