Determine the average rate at which the quadratic function y = .014 t² + -1.7 t + 74 changes between clock times t = 31.4 and t = 31.4 + .1 sec; between clock times t = 31.4 and t = 31.4 + .01 sec; and between clock times t = 31.4 and t = 31.4 + .001 sec. At what rate do you conjecture this function will be changing at the instant t = 31.4 sec?