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The temperature of a chemical reaction ranges between 30°C and 70°C. The temperature is at its lowest point when t = 0 and completes one cycle over a six-hour period. What is a sine function that would model this reaction?
OH and here are the answers: f(t) = 20 sin 10t + 50 f(t) = 50 sin 10t + 20 f(t) = 50 sin π/5 t + 20 f(t) = 20 sin π/5 t + 50
oh you have answer choices good!
hmm i see the period has to be in radians
i would of think that the lowest degree is 30 but they give you 20 as the lowest somehow!
so A and D are not good options since t=0 give 50 which is not lowest degree as claimed!
you would have to convert 6 hour into radions to see what is could be each hour is 2pi radians hmm but then this does not give us what we wanted 12pi is no good
ok let's see at t=6 we have f(6)=70 50sin(6B)+20=70 sin(6b)=1 6b=pi/2 b=pi/12 didn't get that pi/5 there