Project 2
MAC 2311
1. What are all values of
X
for which
sin(
X
) = 0
?
X
= 0
,
±
π,
±
2
π,.
..
In interval notation, what is the range of values for
sin(
θ
)
?
Using the above information, solve the equation
sin(
π
sin(
θ
)) = 0
.
Think of
π
sin
θ
as ”
X
”...
2. For this problem we will work with the function
f
(
x
) =
√
x
.
Give a quick sketch of the function
f
(
x
)
on the axes below.
Write a function
d
(
ω
)
that represents the distance from the point
( 0
,
0 )
to the point on the
graph of
f
(
x
)
having
x
coordinate
ω
. Illustrate this in your picture above by labelling the two
points and drawing the line between them in the three cases when
ω
is chosen to be
1
,
4
, or
9
.
d
(
ω
) =
√
ω
2
+
ω
What is the domain of the function
d
(
ω
)
in this current context?
If you were simply given your function
d
(
ω
)
as a formula without any context, what would
its natural domain be?
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View Full Document3. Your vascular system designs itself to minimize resistance in order to reduce the energy that
is required to convey the blood through your body. Poiseuille’s law states that the resistence
of the blood as it travels through a vessel is
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 Spring '08
 ALL
 Continuous function, Blood vessel

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