The total amount of crude oil Q(t) produced worldwide up to time t is is graphed below. (a) Sketch the derivative Q'(t) for 1900 ≤t≤2150. (b) Approximate the year for which Q'(t) is largest. (c) Evaluate lim→∞ Q(t) and interpret. Provide units. (d) Evaluate limt→∞ Q'(t) and interpret. Provide units.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2.3
2.0
Q (trillions of barrels)
1.5
1.0
0.5
1900
1950
2000
2050
t (year)
2100 2150
Transcribed Image Text:2.3 2.0 Q (trillions of barrels) 1.5 1.0 0.5 1900 1950 2000 2050 t (year) 2100 2150
Question 5 The total amount of crude oil Q(t) produced worldwide up to time t is is graphed below.
(a) Sketch the derivative Q'(t) for 1900 ≤ t ≤ 2150.
(b) Approximate the year for which Q'(t) is largest.
(c) Evaluate limt→∞ Q(t) and interpret. Provide units.
(d) Evaluate limt→∞ Q'(t) and interpret. Provide units.
Transcribed Image Text:Question 5 The total amount of crude oil Q(t) produced worldwide up to time t is is graphed below. (a) Sketch the derivative Q'(t) for 1900 ≤ t ≤ 2150. (b) Approximate the year for which Q'(t) is largest. (c) Evaluate limt→∞ Q(t) and interpret. Provide units. (d) Evaluate limt→∞ Q'(t) and interpret. Provide units.
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