The dynamic behavior of a temperature sensor and transmitter can be described by the FOPTD transfer function

where the time constant and time delay are in seconds and:
T = actual temperature (deviation)
T€²_m = measured temperature (deviation)
The actual temperature changes as follows (t in s):

If samples of the measured temperature are automatically logged in a digital computer every 2 s beginning at t = 0, what is the maximum value of the logged temperature?
Use
simulation with a ZOH to fnd the answer.

T(s) T'(s) e-2s 8s +1 70 C for t < 0 for 0 10