Coroners estimate time of death using the rule of thumb that abody cools about 2 degrees farenheit during the first hour afterdeath and about 1 degree farenheit for each additional hour. assuming an air temperature of 68 degrees farenheit and a livingbody temperature of 98.6 degrees farenheit, the temperature T(t) indegrees farenheit of a body at a time t hours since death is givenby: T(t) = 68 +30.6e^-kt

For what value of k will the body cool by 2 degrees farenheitin the first hour?