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The function f(t) = 30 sin (pi over 3t) −15 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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maximum: 30°; minimum: 15°; period: pi over 3 hours maximum: 30°; minimum: −15°; period: pi over 3 hours maximum: 45°; minimum: 15°; period: 6 hours maximum: 15°; minimum: −45°; period: 6 hours
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