Question

A roast is taken from the refrigerator (where it had been for several days) and placed...

A roast is taken from the refrigerator (where it had been for several days) and placed immediately in a preheated oven to cook. The temperature R = R(t) of the roast t minutes after being placed in the oven is given below.

R = 350 − 309e−0.001t

   degrees Fahrenheit

(a) What is the temperature of the refrigerator?
°F

(b) Express the temperature of the roast 45 minutes after being put in the oven in functional notation.
R(  )

Calculate the value of the above term. (Round your answer to two decimal places.)
°F

(c) By how much did the temperature of the roast increase during the first 12 minutes of cooking? (Round your answer to two decimal places.)
°F

(d) By how much did the temperature of the roast increase from the first hour to 12 minutes after the first hour of cooking? (Round your answer to two decimal places.)
°F

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