Suppose the rate of gasoline consumption in the United States can be modeled by a sinusoidal function of the following form, where t is in months. 11.27 - cos x 109 gal/mo (a) What is the average monthly consumption rate (in gallons per month) during the first year when 0 s t s 12? gal/mo For which values of t during the first year is the rate at time t equal to the average rate? (Enter your answers as a comma-separated list.) t = (b) What is the number of gallons of gasoline consumed in the United States in the first year? gal (c) Write an integral that expresses the average monthly U.S. gas consumption (in gal/mo) during the part of the year between the beginning of April (t = 3) and the end of September (t = 9). 11.27 - cos x 109 dt Evaluate the integral. gal/mo