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8. A 22 KW motor has been running for 20 hours. The motor has been stopped and its temperature has been monitored. The temperature of

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8. A 22 KW motor has been running for 20 hours. The motor has been stopped and its temperature has been monitored. The temperature of the motor is read every 10 minutes and recorded as shown in the table below. Time (mins) Temperature ("C) o 60 10 48.61 20 39.38 30 31.90 A) Complete the table above by showing your calculations for the first differences, second differences, and the ratio of the temperatures. Is the decrease in temperature exponential? Explain your reasoning B) Graph the function. C) If the function above is modeled by 7 (7 ) = 60r, where 7 is temperature in .C and : is time in minutes, determine the value of ~ . D) Determine the temperature after 40 minutes. 83 Marks

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