Answer to Question #56717 in Differential Equations for Peter

Question

: You place a cup of 210°F coffee on a table in a room that is 68°F, and 10 minutes later, it is 200°F . Approximately how long will it be before the coffee is 180°F? Use Newton's law of cooling: 180°F

A: 1 hour
B: 15 minutes
C: 35 minutes
D: 45 minutes

: A body was found at 6 a.m. Outdoors on a day when the temperature was 50°F . The medical examiner found the temperature of the body to be 66°F . What was the approximate time of death? Use newtons law of cooling, with k= 0.1947

T(t) = TA + (To – TA)e^-kt

A: 5 a.m.
B: 3 a.m.
C: 2 a.m.
D: Midnight (12 a.m.)