An egg is boiling. When the egg is taken out of the boiling water, the temperature inside the egg is 90 C. The room-temperature is 20 C. 77 seconds after the egg is taken out of the water, the temperature inside the egg is 80 C. Let E(t) represent the temperature inside the egg, and t represents time measured in seconds, after the egg was taken out of the boiling water. We assume that the deviation between E(t) and the room-temperature is decreasing exponentially. E(t) = 20 + c . a'. Determine c and a. How much time passes from the time the egg is taken out of the boiling water, and until the temperature inside the egg is 20"C