The temperature of a chemical reaction oscillates between a low of 35 ∘C and a high of 110 ∘C. The temperature is at its lowest point at time t=0, and reaches its maximum point over a two and a half hour period. It then takes the same amount of time to return back to its initial temperature. Let y=H(t) denote the temperature of the reaction t hours after the reaction begins.

(b) What is the midline of the function y=H(t)? y=

Question

The temperature of a chemical reaction oscillates between a low of 35 ∘C and a high of 110 ∘C. The temperature is at its lowest point at time t=0, and reaches its maximum point over a two and a half hour period. It then takes the same amount of time to return back to its initial temperature. Let y=H(t) denote the temperature of the reaction t hours after the reaction begins.

(b) What is the midline of the function y=H(t)? y=