According to the Peak Oil Theory, first proposed in 1956 by geophysicist M. Hubbert, the total amount

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According to the Peak Oil Theory, first proposed in 1956 by geophysicist M. Hubbert, the total amount of crude oil Q(t) produced worldwide up to time t has a graph like that in Figure 13.

2.3 2.0 1.5 1.0 Q (trillions of barrels) I 0.5 1900 1950 2000 2050 2100 t (year) 2150

(a) Sketch the derivative Q(t) for 1900 ≤ t ≤ 2150. What does Q(t) represent?
(b) In which year (approximately) does Q(t) take on its maximum value?
(c) What is  L = lim Q(t)? And what is its interpretation?

(d) What is the value of lim Q'(t)? 1-00

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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