The temperature T (in °F) of a roast beast t minutes after it is removed from the oven is given by T(t) : = 71 + 100e 0.04t, t2 0. (a) Find T(0). T(0) = °F %3D Interpret T(0). O When it is removed from the oven, the roast beast is T(0)°F. When the roast beast is first put into the oven, it is T(0)°F. After it has completely cooled, the roast beast is T(0)°F. O T(0) has no significance. (b) When is the temperature of the roast beast cooler than 85°F? O (100 In(14), ) O (0, 25) O (-*, ) O (-25 In in).) 50 O (In(85), 100] (c) Sketch the graph of y = T(t). y 200 150 150 100 100 50

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.