Solve the problem.Newton's Law of Cooling states that the rate of change of temperature of an object is proportional to the difference in temperature between the object and the surrounding medium. Thus, if T is the temperature of the object after t hours and T0 is the (constant) temperature of the surrounding medium, then
where k is a constant. Suppose the air temperature surrounding a body remains at a constant
and the temperature of the body at
death is 98.6°F. By solving the differential equation, determine a formula for the temperature at any time t.
A. T = 98.6e-0.24t - 12
B. T = 86.6e0.24t + 12
C. T = 86.6e-0.24t + 12
D. T = 98.6e-0.24t + 12
Answer: C
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