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Unformatted text preview: F and places on a table in his dining room where the temperature is 80 F . After 10 minutes the temperature of the turkey is 166 F , while after 20 minutes it is 160 F . Use linear ap-proximation to predict the temperature of the turkey after half an hour. 1. temp 153 F 2. temp 152 F 3. temp 155 F 4. temp 151 F 5. temp 154 F correct Explanation: If T ( t ) is the temperature of the turkey after t minutes, then the given data tell us that T (0) = 186 , T (10) = 166 , T (20) = 160 , while the fact that the room temperature is 80 F means that T ( t ) gets closer to 80 F as t increases. Now by linear approximation T ( t ) T (20) + T (20)( t 20) , ( t > 20) ,...
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- Spring '08