1. Let C(t) = 2t + 3 represent the cost of running a mechanical pencil factory...

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1. Let C(t) = 2t² + 3 represent the cost of running a mechanical pencil factory for t hours a day starting at 8:00am a) Find the average rate of change of the cost when the factory is running from 10:00am (t = 2) to noon (t = 4) b) Find the average rate of change of the cost when the factory is running from t = 2 to t = 2+ h c) Find the instantaneous rate of change of the cost at 10:00am (t = 2) 1. Let C(t) = 2t² + 3 represent the cost of running a mechanical pencil factory for t hours a day starting at 8:00am a) Find the average rate of change of the cost when the factory is running from 10:00am (t = 2) to noon (t = 4) b) Find the average rate of change of the cost when the factory is running from t = 2 to t = 2+ h c) Find the instantaneous rate of change of the cost at 10:00am (t = 2)