Recall that Newton's Law of Cooling says that the temperature of an object, T, in surrounding air with temperature T will behave according to the formula T(t) = aekt aekt +TS where t is time . a is a constant determined by the initial temperature of the object • kis a constant, the continuous rate of cooling of the object The temperature of a human body is 98.6° Fahrenheit. When a body dies its temperature starts to decrease according to Newton's Law of Cooling. Because of your precalculus skills, you have been called to investigate a murder. There are three suspects: Alice, Bob, and Charles. • Alice has an alibi for the whole day, except between 3:00 PM and 3:30 PM. • Bob has an alibi for the whole day, except between 3:30 PM and 4:00 PM. • Charles has an alibi for the whole day, except between 4:00 PM and 4:45 PM. The temperature of the room is 66º. At 5:00 PM you measure the temperature of the body as 92º and at 6:00 PM it is 82'. How many minutes before 5:00 PM was the body murdered? minutes Who committed the murder? O Alice Bob O Charles​