The annual rate of coal production in the US (in billions of tons per year) is given by the function 0(1), and the total amount of coal produced (in billion tons) since 1900 is given by c(t), where t represents years since 1900. If the total amount of coal produced is 27.5 billion tons higher in 1945 than it was in 1930, which of the following mathematical equations must be true? S_e|ect all of the following that are correct. A. 3'35 a(t) dt = 27.5 145 _B'E 30 C(t) dt = -27.5 : c. C(45) C(30) = 27.5 1 45 15 30 D. do) dt = 27.5 E. c(30) c(45) = 27.5 F. 3'35 c(t)dt = 27.5 c. [3'35 do) dt = 27.5 145 _H'E 30 c'(t) dt = 27.5 _ I. None of the above are true