At the beginning of 2006, the rate of energy consumption for the city of Denver was 7000 megawatts (MW), where 1 MW = 106 W. The rate was expected to increase at an annual growth rate of 2% per year. a) Find the function that gives the rate of energy consumption for all times after the beginning of 2006. b) Find the total amount of energy used during the year 2010. Note: the entire year 2010 corresponds to the interval 4 ≤ t ≤ 5.