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30 March, 23:21

The function f (t) = 65 sin (pi over 5t) + 35 models the temperature of a periodic chemical reaction where t represents time in hours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take?

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  1. 31 March, 00:10
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    Maximum: 100°; minimum: - 30°; period: 10 hours

    sin (πt/5) varies between - 1 and 1, so f (t) varies between - 30 and 100. P=2π/π/5=10
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