Assume that the temperature T in degrees Fahrenheitof a pati

Assume that the temperature T, in degrees Fahrenheit,of a patient t days into a 12-day lins is gven by T(t) = 101.1°16\" sin l-t | . Find the times t during the illness at which the patient\'s temperature was 104 The times t during the illness at which the patient\'s temperature was 104° is (Use a comma to separate answers as needed. Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed.)

Solution

T(t) = 101.1 + 6*sin(pi*t/4)

104 = 101.1 + 6*sin(pi*t/4)

2.9 = 6*sin(pi*t/4)

sin(pi*t/4) = 2.9/6

(pi*t/4) = 0.505

t = 0.64