2. Consider the function C (t) = te-2t, t > 0 for modeling the absorption and metabolism of alcohol. (a) Find the intervals on which C is increasing / decreasing. (b) Find the location of the absolute maximum. (c) Find the intervals on which C is concave up / concave down. (d) Find the location of the inflection point. (e) Sketch the graph of C. (Use the fact that C (0) = 0 and limt - C (t) = 0.)

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