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3. DETAILS OSPRECALC1 4.7.389-394.WA.TUT. The temperature 7 (in F) of a roast beast t minutes after it is removed from the oven is given by

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3. DETAILS OSPRECALC1 4.7.389-394.WA.TUT. The temperature 7 (in F) of a roast beast t minutes after it is removed from the oven is given by T(t) = 71 + 100e-0.02t, t 2 0. a) Find T(0). T(0) = OF Interpret T(0). O When it is removed from the oven, the roast beast is T(0) OF. O When the roast beast is first put into the oven, it is T(0) OF. O After it has completely cooled, the roast beast is T(0) OF. O T(0) has no significance. (b) When is the temperature of the roast beast cooler than 95OF? [100 In(24), 00) O (- 50 In ( 75),00) O (0, 50) O ( -00, 00 ) O (In(95), 100] (c) Sketch the graph of y = T(t). - 4 200 150- 150 100 100 50 50 t + t O 20 40 60 80 100 O 50 100 200 250 300 y 1000 150- 800 600 100 100 50 200 O 20 40 60 80 100 O 50 150 200 250 300 (d) Interpret the horizontal asymptote of the graph of y = T(t). The roast beast cannot heat up to more than 710F. O The roast beast cannot heat up to more than 1710F. O As time goes by, the roast beast will cool to OF. As time goes by, the roast beast will cool to 710F

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