In 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil production as 254.43e-0.042 (1+2.12e-0.0422 Here 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 5 P 35 2838 30 25 20 P = 15 10 5 10 10 20 20 30 30 40 40 t t O 35 30 25 20 15 10 S 10 20 30 40 t O 35 30 25 20 15 10 5 (b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.) 18 1x (c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.) 30 billion barrels per year 10 20 30 -1 40
In 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil production as 254.43e-0.042 (1+2.12e-0.0422 Here 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 5 P 35 2838 30 25 20 P = 15 10 5 10 10 20 20 30 30 40 40 t t O 35 30 25 20 15 10 S 10 20 30 40 t O 35 30 25 20 15 10 5 (b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.) 18 1x (c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.) 30 billion barrels per year 10 20 30 -1 40
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
1
![In 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil production as
254.43e-0.042
(1+2.12e-0.0422
Here P is measured in billions of barrels per year, and this 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
5
P
35
28389
30
25
20
19
10
P =
5
10
10
20
20
30
30
40
40
t
t
35
30
25
20
15
10
5
10
20
30
40
O
P
35
30
25
20
505
15
10
(b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.)
18
X
(c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.)
30
billion barrels per year
10
20
30
40
t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92f70042-127d-4f2d-b479-29d6b2d5376f%2F5bf20d8b-0297-4418-b789-8c823a319c18%2Fdkutvnh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil production as
254.43e-0.042
(1+2.12e-0.0422
Here P is measured in billions of barrels per year, and this 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
5
P
35
28389
30
25
20
19
10
P =
5
10
10
20
20
30
30
40
40
t
t
35
30
25
20
15
10
5
10
20
30
40
O
P
35
30
25
20
505
15
10
(b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.)
18
X
(c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.)
30
billion barrels per year
10
20
30
40
t
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