IViath 1100
Quiz
9
20 November, 2013
Name:
1. (10
points)
Suppose
the
growth rate of a colony of bacteria is given
by
dy
where y is
the
number of bacteria after
t
hours.
If there are 100 bacteria initially, how long will it
(You may assume that 16, 275, 479 = lOOe’
.)
2
take until there are
ico
(Yvj
fy1
4Lk
Po
()
iiI:
(O1ø)
100:
(vo A
7 1CL)
)
elt
16,275,479
bacteria?
2. (10 points) Consider the following graph representing the function y
(Grid lines are one unit apart.)
=
2
3 +x
x
—
2x.
/
(a) Write an indefinite integral representing the shaded area.
(‘-I
)(—?x d
(b) Find the area of the shaded region.
YXZ
7jX
43
x
z
1
-
(-)]
-
-
‘1
12
19
12
[
(-t)
rHl
32
(2)2]