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1. Let s(t) = 2 sin 3t be a position function. Find the average velocity of the object over the following intervals: (a). [0, 0.1] (b). [0, 0.01] (c). [0,0.001] (d). [0, 0.0001] (e). Make a conjecture about the instantaneous velocity at t = 0. Note: For (a) to (d), calculations to 6 decimal places