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(a) A cup of coffee has temperature 97C and takes 45 minutes to cool to 63C in a room with temperature 19C. Use Newton's

(a) A cup of coffee has temperature 97C and takes 45 minutes to cool to 63C in a room with temperature 19C. Use Newton's law of cooling to find what the temperature of the coffee will be after t minutes. (Round your value for k to three decimal places.) T(C) (b) What is the average temperature the coffee during the first forty-five minutes? (Round your answer to one decimal place.) Co

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