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 approximation 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
 CLARK,C.W./HOY,R.R

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