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Unformatted text preview: your wrong guesses help you make better guesses.] 3. The electrical potential in a circuit is given by V ( t ) = 320 e − 3 . 1 t where t is measured in seconds and V is measured in Volts. When is the rate of change of V equal to35 Volts/sec? Your answer should be accurate to two decimal places. [Note: As in Problem 2.] Challenge Problem: The following table gives the temperature of an object placed in a freezer as a function of time, x , in minutes. Temperature, T , is measured in degrees Celsius, ◦ C. x (minutes) 2 4 6 8 10 T ( ◦ C) 10 5.5 2.1. 62 . 64 . 2 When is T ′ ( x ) =2 . ◦ /min? 1 Hints and Answers Exercises: 1. (a) t =1 sec. (b) Approximately t = 2 . 15 sec and t =. 15 sec. (Exact values are 1 ± 2 √ 3 / 3.) (c) t =1 . 75 sec. 2. x ≈ . 927 3. x ≈ 1 . 08 sec. Challenge : x ≈ 7 min. 2...
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 Fall '08
 STAFF
 Calculus, Algebra, Approximation, Derivative, Slope, 1 ft, 1 sec, 1.75 sec, 0.15 sec, 1.08 sec

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