The temperature of a chemical reaction oscilllates between a low of 40 degreesC and a high of 115degreesC. The temperature is at its highest point at the time t=0, and reaches its minimum point over a five-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. (a) What in the period of the function y=H(t)? __________ Include units in your answer. (b) What in the midline of the function y=H(t)? __________ Include units in your answer. (c) What in the amplitude of the function y=H(t)? __________ Include units in your answer
The temperature of a chemical reaction oscilllates between a low of 40 degreesC and a high of 115degreesC. The temperature is at its highest point at the time t=0, and reaches its minimum point over a five-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.
(a) What in the period of the function y=H(t)? __________ Include units in your answer.
(b) What in the midline of the function y=H(t)? __________ Include units in your answer.
(c) What in the amplitude of the function y=H(t)? __________ Include units in your answer.
Solution :
Given ,
The temperature of a chemical reaction oscilllates between a low of 40 degreesC and a high of 115degreesC. The temperature is at its highest point at the time t=0, and reaches its minimum point over a five-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.
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