The function f(t) = 33 sin (pi over 2t) − 20 models the temperature of a periodic chemical reaction where t represents time in h
ours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take? (5 points) Maximum: 53°; minimum: −13°; period: 4 hours
Maximum: 33°; minimum: 20°; period: pi over 2 hours
The given function is with t = time, hours f = temperature, °C
Because the maximum and minimum values for the Sine function are +1 and -1 respectively, The maximum value of f = 33 - 20 = 13. The minimum value of f = -33 - 20 = -53.