Investments In Hedge Funds Investments in hedge funds have increased along with their popularity. The assets of hedge funds (in trillions of dollars) from 2002 through 2007 are modeled by the function f ( t ) = { 0.6 i f 0 ≤ t ≤ 1 0.6 t 0.43 i f 1 ≤ t ≤ 5 where t is measured in years, with t = 0 corresponding to the beginning of 2002 a. What were the assets in hedge funds at the beginning of 2002? At the beginning of 2003? b. What were the assets in hedge funds at the beginning of 2005? At the beginning of 2007? Source : Hennessee Group.
Investments In Hedge Funds Investments in hedge funds have increased along with their popularity. The assets of hedge funds (in trillions of dollars) from 2002 through 2007 are modeled by the function f ( t ) = { 0.6 i f 0 ≤ t ≤ 1 0.6 t 0.43 i f 1 ≤ t ≤ 5 where t is measured in years, with t = 0 corresponding to the beginning of 2002 a. What were the assets in hedge funds at the beginning of 2002? At the beginning of 2003? b. What were the assets in hedge funds at the beginning of 2005? At the beginning of 2007? Source : Hennessee Group.
Solution Summary: The author evaluates the assets of hedge funds in 2002 and 2003.
Investments In Hedge Funds Investments in hedge funds have increased along with their popularity. The assets of hedge funds (in trillions of dollars) from 2002 through 2007 are modeled by the function
f
(
t
)
=
{
0.6
i
f
0
≤
t
≤
1
0.6
t
0.43
i
f
1
≤
t
≤
5
where t is measured in years, with t = 0 corresponding to the beginning of 2002
a. What were the assets in hedge funds at the beginning of 2002? At the beginning of 2003?
b. What were the assets in hedge funds at the beginning of 2005? At the beginning of 2007?
2. [-/4 Points]
DETAILS
MY NOTES
SESSCALCET2 7.3.002.
Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a = 6 and b = 2.)
ASK YOUR TEACHER
0
y = a sin(bx²)
Sketch a typical approximating shell.
y
6
4
2
x
π/b
y
2
1
x
0.5
1.0
1.5
0.2
0.4
0.6
0.8
1.0
-2
-1
-4
The graph of f', the derivative of f, is shown in the graph below. If f(-9) = -5, what is the value of f(-1)?
y
87 19
6
LO
5
4
3
1
Graph of f'
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4 5
6
7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
564%
Let f(x)=−7e^xsinxf'(x)=
Chapter 2 Solutions
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