Athermistor is used as a temperature transducer. Its resistance changes with temperature approximately as R = R₀ exp[α(1/T − 1/T₀)] where it has resistance R₀ at temperature T₀. Select the constants as R₀ = 3000 Ω and T₀ = 298 K and compute α so that it has a resistance of 200 Ω at 100◦C. Write a program to convert a measured resistance, R, into information about the temperature. Find information for actual thermistors and plot the calibration curves with the formula given in this problem and the recommended correction given by the manufacturer.