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Let f (t) = t2 . Use a calculator to compute the average ROC of f on the intervals [2.9, 3],
[2.99, 3], [2.999, 3], [2.9999, 3], [3.1, 3], [3.01, 3], [3.001, 3], and [3.0001, 3]. Record the values to at least
four decimal places. Use that data to guess the instantaneous ROC of f at t = 3.