1. Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after consumption of 30 mL of ethanol (corresponding to two alcoholic drinks): (a) Find the average rate of change of C with respect to t over each time interval:(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii)[2.0, 2.5] (iv) [2.0, 3.0]What are the units? (b) Estimate and interpret the value of the derivative C’(2).