Offshore Crude Oil Production: Mexico The following table shows daily offshore crude oil production by Pemex , Mexico’s national oil company, for 2008-2014 ( t = 0 represents 2008 ) : 6 Year t (year since 2008) 0 1 2 3 4 5 6 Crude Oil Production s ( t ) (million barrels/day) 2.25 2.01 1.94 1.90 1.90 1.90 1.85 a. Find s ( 0 ) , s ( 2 ) and s ( 4 ) . Interpret your answers. b. Find s ( 4 ) − s ( 0 ) . Interpret your answer.
Offshore Crude Oil Production: Mexico The following table shows daily offshore crude oil production by Pemex , Mexico’s national oil company, for 2008-2014 ( t = 0 represents 2008 ) : 6 Year t (year since 2008) 0 1 2 3 4 5 6 Crude Oil Production s ( t ) (million barrels/day) 2.25 2.01 1.94 1.90 1.90 1.90 1.85 a. Find s ( 0 ) , s ( 2 ) and s ( 4 ) . Interpret your answers. b. Find s ( 4 ) − s ( 0 ) . Interpret your answer.
Solution Summary: The author calculates the value of s(0),s
Offshore Crude Oil Production: Mexico The following table shows daily offshore crude oil production by Pemex, Mexico’s national oil company, for 2008-2014
(
t
=
0
represents
2008
)
:
6
Year t(year since 2008)
0
1
2
3
4
5
6
Crude Oil Production
s
(
t
)
(million barrels/day)
2.25
2.01
1.94
1.90
1.90
1.90
1.85
a. Find
s
(
0
)
,
s
(
2
)
and
s
(
4
)
. Interpret your answers.
b. Find
s
(
4
)
−
s
(
0
)
. Interpret your answer.
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
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