If t is in years, and t = 0 is January 1, 2005, worldwide energy consumption, r, in quadrillion (1015) BTUs per year, is modeled by r = 4620.019t (a) Write a definite integral for the total energy use between the start of 2005 and the start of 2015. Total energy used = dt quadrillion BTUs (b) Use the Fundamental Theorem of Calculus to evaluate the integral. NOTE: Round your answer to the nearest integer. Total energy used = quadrillion BTUsAt a time t hours after taking a tablet, the rate at which a drug is being eliminated is r(t) = 50(e-0.0251 _ e-0.051 ) mg/hr. Assuming that all the drug is eventually eliminated, calculate the original dose. Enter the exact answer. The original dose was i mg.The rate, r, at which people get sick during an epidemic of the u can 0.5t be approximated by r = SOUte , where 'r is measured in people/day and t is measured in days since the start of the epidemic. (a) Write an improper integral, using the variable 1?, representing the total number of people that get sick. as] number gas-mg sick: f _s (b) Select the correct graph of r with a shaded area that represents the integral from part (a)