1
MATH 140B
QUIZ#1
Date: Sept 1, 2007
The last 3 questions involve applications to biology, exactly like those done in lecture. If you
missed classes this week, then you should get notes from someone.
[ 2 ]
1.
Consider the linear function
y
=
αx

3
where
α
is a positive constant. Which of the following 3 statements are true?
i) The end behavior of the graph of this function goes upward to the right.
ii) The
x
intercept is 3
/α
.
iii)
x
and
y
are directly proportional.
A)
i) only;
B)
ii) only;
C)
i) and ii) only;
D)
i) and iii) only;
E)
all
[ 2 ]
2.
Suppose
p
is a polynomial with
odd degree
and
negative leading coefficient
.
Which of the following 3 statements are true?
i) The end behavior of the graph of
p
goes
up to the right
.
ii) The end behavior of the graph of
p
goes
up to the left
.
iii)
p
has at least one root (
x
intercept).
A)
i) only;
B)
ii) only;
C)
iii) only;
D)
i) and iii) only;
E)
none
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2
[ 2 ]
3.
As discussed in lecture, in the case of laminar flow of blood through a cylindrical vessel of
radius
R
, the velocity (in cm/s) of a red blood cell that is
r
cm from the centerline of the
cylinder is given by:
v
(
r
) =
k
(
R
2

r
2
)
where
k
is a positive constant. Suppose
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 Fall '07
 FABBRI,MARC
 Math, 1 km, 60%, 2 cm, end behavior, 2000 cal

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