Worldwide oil production. One model of worldwide oil production is P ( t ) = 2.69 t 4 − 63.941 t 3 + 459.895 t 2 − 688.692 t + 24 , 150.217 , where P ( t ) is the number of barrels, in thousands, produced t years after 2000. ( Source : Based on data from the U.S. Energy Information Administration.) According to this model, in what year did worldwide oil production achieve an absolute minimum? What was that minimum?
Worldwide oil production. One model of worldwide oil production is P ( t ) = 2.69 t 4 − 63.941 t 3 + 459.895 t 2 − 688.692 t + 24 , 150.217 , where P ( t ) is the number of barrels, in thousands, produced t years after 2000. ( Source : Based on data from the U.S. Energy Information Administration.) According to this model, in what year did worldwide oil production achieve an absolute minimum? What was that minimum?
Solution Summary: The author explains how the world achieved an absolute minimum production of oil after 2000, based on the concept of Max-Min Principle-1.
Worldwide oil production. One model of worldwide oil production is
P
(
t
)
=
2.69
t
4
−
63.941
t
3
+
459.895
t
2
−
688.692
t
+
24
,
150.217
,
where
P
(
t
)
is the number of barrels, in thousands, produced t years after 2000. (Source: Based on data from the U.S. Energy Information Administration.) According to this model, in what year did worldwide oil production achieve an absolute minimum? What was that minimum?
Exercise 1
Given are the following planes:
plane 1:
3x4y+z = 1
0
plane 2:
(s, t) =
( 2 ) + (
-2
5 s+
0
(
3 t
2
-2
a) Find for both planes the Hessian normal form and for plane 1 in addition the parameter form.
b) Use the cross product of the two normal vectors to show that the planes intersect in a line.
c) Calculate the intersection line.
d) Calculate the intersection angle of the planes. Make a sketch to indicate which angle you are
calculating.
Only 100% sure experts solve it correct complete solutions ok
rmine the immediate settlement for points A and B shown in
figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth
of foundation (DF-0), thickness of layer below footing (H)=20m.
4m
B
2m
2m
A
2m
+
2m
4m
Chapter 2 Solutions
Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
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