Question: If t is in years, and t = 0 is January 1, 2005, worldwide energy consumption, r, in quadrillion (10 15 ) BTUs per year,

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 = 462e0.019t.

(a) Write a definite integral for the total energy use between the start of 2005 and the start of 2010.

(b) Use the Fundamental Theorem of Calculus to evaluate the integral. Give units with your answer.

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