A thermometer with a first-order dynamic is used for a test. The range of thermometer is20°c-420°c. If, at time t=0s, T(0)= 50°c a) Calculate the temperature time response of the

sensor if ý + 10y =120U(t). b) Find the measurement error as a function of time, e(t), and calculate the measuring temperature error at time t=0.5sec. (5 points) Explain the error fraction in your own words (5 points)