3.Find the average value of the given function f(x) over the specified interval a ≤ x ≤ b f(x)=x^2-3x+5 over -1≤ x≤ 2 4. Find the Gini index for the given Lorentz curve. L(x)=x^2 5.After t months on the job, a postal clerk can sort Q(t) = 700 - 400e^(-0.5t) letters per hour. What is the average rate at which the clerk sorts mail during the first 3 months on the job? What is the average rate during the next three months? (There are two questions here.) First 3 months: 1,478.50 letters; Second 3 months: 1,961.33 letters First 3 months: 492.84 letters; Second 3 months: 653.78 letters First 3 months: 492.84 letters; Second 3 months: 573.31 letters First 3 months: 1,478.50 letters; Second 3 months: 3,439.83 letters