1: Find the average of the function over the given interval.

f(x) = x³ x over [0, 2]

2: The cost, in millions of dollars, of a 30-second television ad during the Super Bowl in the years 1980 to 2000 can be approximated by

C(t) = 0.044t + 0.222 million dollars (0 t 20)

(t = 0 represents 1980). What was the average cost of a Super Bowl ad during the given period? (Round your answer to three decimal places.)

$________ million

3: The number of new members joining Facebook each year in the period from 2005 to the middle of 2008 can be modeled by

m(t) = 12t² 20t + 10 million members per year (0 t 3.5),

where t is time in years since the start of 2005. What was the average number of new members joining Facebook each year from the start of 2005 to the start of 2007? ______________________ million members per year

4: If you invest $25,000 at 8% interest compounded continuously, what is the average amount in your account over one year? (Round your answer to the nearest cent.)