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Unformatted text preview: change? To what special type of point on the graph of M ( t ) do these correspond? 3. Examine the function g ( t ) = 50 + 30( t-1) 1 3 e-1 6 t . a) Calculate g ( t ) and use a number line to ﬁnd the intervals on which g ( t ) is positive and negative. Find the maximum and minimum value(s) of g ( t ) on [ 0 , 9 ] . b) Suppose g ( t ) represents the temperature (in ◦ F ) of a cold storage room t hours after the room is accidently left open. What is the initial room temperature (to the nearest degree)? What is the maximum room temperature (to the nearest degree), and after how many hours does it occur? c) Suppose the items inside the room must be discarded if they reach a temperature of 70 ◦ F . Should our current room be modiﬁed to safeguard against a total loss in this situation? What happens to the temperature in the long run? (i.e., lim t →∞ g ( t ) )...
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- Spring '08