50. According to the Peak Oil Theory, first proposed in 1956 by geophysi-
cist M. Hubbert, the total amount of crude oil Q(t) produced worldwide up
to timer has a graph like that in Figure 13.
(a) Sketch the derivative Q'(t) for 1900 ≤2150. What does Q'(t)
represent?
(b) In which year (approximately) does Q'(r) take on its maximum value?
(c) What is L = lim Q(t)? And what is its interpretation?
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(d) What is the value of lim Q'(t)?
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Q (trillions of barrels)
2.3
2.0
1.5
1.0
0.5-
1900 1950
2000
2050 2100
2150
f(year)
FIGURE 13 Total oil production up to time t.
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