For a given system with transfer function T(s), initial conditions are (a) included in T(s) (b) inputs to T(s) (c) feedback on T(s) (d) ignored Show work detailing how you got to your answer

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a) Using a NTC thermistor with "B=4000K, resistance: 5k2 at 25°C" we want to measure the temperature of an environment in the range 50°C - 100°C. Design a suitable circuit for this purpose with "zero" output signal |v) value at 25ºC. Express the output and its temperature-sensitivity in terms of temperature (y=f(T°C) and dy/dT= f(TºC)). Roughly draw y and dy/dT for the given temperature range. (Note: For NTC: RNTC=Roexp(B(1/T-1/To))