1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with Updated data, P= ere P is measured in billions of barrels per year, and t is time, in years, since 2000. a) Make a graph of world crude oil production for 2000 through 2040. P P 35 30 25 20 15 10 51 P 35 30 25 20 254.43e-0.0421 (1 +2.12e-0.0422 15 10 5 10 10 20 20 30 30 40 40 35 30 25 20 15 10 5 to P 35 30 25 20 15 10 5 10 10 20 20 30 30 40 40 t t (b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.) 2000 X (c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.) billion barrels per year
1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with Updated data, P= ere P is measured in billions of barrels per year, and t is time, in years, since 2000. a) Make a graph of world crude oil production for 2000 through 2040. P P 35 30 25 20 15 10 51 P 35 30 25 20 254.43e-0.0421 (1 +2.12e-0.0422 15 10 5 10 10 20 20 30 30 40 40 35 30 25 20 15 10 5 to P 35 30 25 20 15 10 5 10 10 20 20 30 30 40 40 t t (b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.) 2000 X (c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.) billion barrels per year
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil pro
254.43e-0.0421
(1 + 2.12e-0.0422
lere P is measured in billions of barrels per year, and t is time, in years, since 2000.
(a) Make a graph of world crude oil production for 2000 through 2040.
P
P
P=
35
30
25
20
15
10
5
P
35
30
25
20
15
10
5
10
10
20
20
30
30
40
t
40
35
30
25
20
15
10
O
5
to
35
30
25
20
15
10
202
P
5
10
10
20
20
30
30
40
40
t
t
(b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.)
2000
X
(c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.)
billion barrels per year
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