Average Value and the 2nd Fundamental Theorem

3. Find the numbers b such that the average value of f (x) = 2+ 7x -x on the interval [0, b] is 3. 4. In a certain city, the temperature in degrees 5. An internet cafe charges for WIFI based Fahrenheit : hours after 9 AM is approximated on the following graph, z in minutes. by the function T() = 50 +14sin . Find the What is the average cost it charges over average temperature between 9AM and 9 PM. a 45-minute period? 6. Find f'(x) a. f (x ) = [(+ +1)" dt b. f ( x ) = [ VP +ldt c. f (x ) =)7+1 1 dt d. f(x) = [cos(12) at 7. Find intervals on which the curve y= (+ +1)di 8. The graph of the piecewise linear function f is is concave up. Justify your answer. shown below. If F(x) = ] f(t) di , arrange F(2), F'(2) and F"(2) from largest to smallest