Oil Imports from Mexico Daily oil production in Mexico and daily U.S. oil imports from Mexico during 2000– 2004 could be approximated by P ( t ) = 3.0 + 0.13 t million barrels ( 0 ≤ t ≤ 4 ) I ( t ) = 1.4 + 0.06 t million barrels ( 0 ≤ t ≤ 4 ) , where t is time in years since the start of 2000. a. What are represented by the function P ( t ) − I ( t ) and I ( t ) / P ( t ) ? b. Compute d d t [ I ( t ) P ( t ) ] | t = 3 totwo significant digits. What does the answer tell you about oil imports from Mexico?
Oil Imports from Mexico Daily oil production in Mexico and daily U.S. oil imports from Mexico during 2000– 2004 could be approximated by P ( t ) = 3.0 + 0.13 t million barrels ( 0 ≤ t ≤ 4 ) I ( t ) = 1.4 + 0.06 t million barrels ( 0 ≤ t ≤ 4 ) , where t is time in years since the start of 2000. a. What are represented by the function P ( t ) − I ( t ) and I ( t ) / P ( t ) ? b. Compute d d t [ I ( t ) P ( t ) ] | t = 3 totwo significant digits. What does the answer tell you about oil imports from Mexico?
Solution Summary: The author explains the meaning of functions P(t) and
Oil Imports from Mexico Daily oil production in Mexico and daily U.S. oil imports from Mexico during 2000– 2004 could be approximated by
P
(
t
)
=
3.0
+
0.13
t
million barrels
(
0
≤
t
≤
4
)
I
(
t
)
=
1.4
+
0.06
t
million barrels
(
0
≤
t
≤
4
)
,
where t is time in years since the start of 2000.
a. What are represented by the function
P
(
t
)
−
I
(
t
)
and
I
(
t
)
/
P
(
t
)
?
b. Compute
d
d
t
[
I
(
t
)
P
(
t
)
]
|
t
=
3
totwo significant digits. What does the answer tell you about oil imports from Mexico?
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