A body was found in a room when the room's temperature was 75°F. Let f(t) denote the temperature of the body, t hours from the time of death. According to Newton's law of cooling, f satisfies a differential equation of the form y' = k(T-y). Answer parts (a) - (d) below. (a) Find T. T= 75° F (b) After several measurements of the body's temperature, it was determined that when the temperature of the body was 78 degrees, it was decreasing at a rate of 5 degrees per hour. Find k. k=0 (Round to three decimal places as needed.)

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