J g S -;-

```E‘2-)
(I)
-
—
CD
UI)
‘2)
—
..D
0
0
—
S
—I
0
0
—
UI)
‘2)
JD
_
0
Is
cJ_.
-..-
cL
C
c
-
-L
J
DC
0
-;Isfl
-
-
Q
—V
-
-
g
north at 24 miles per
1. Two humans are fleeing from a zombie. Alice is riding her bicycle
same point. How
hour and Bruce is running east at 7 miles per hour, starting from the
fast is the distance between Alice and Bruce increasing after two hours?
—
4f4-r
t hoivS,
j
(L
Z•’-i
.29
ZSOO
2.1L17
zsoo-
j5D.
IO
dt
z5
Page 2
/min. At what rate is the radius
3
2. A spherical balloon is being inflated at the rate of 5 in
i1creasing when the radius of the balloon is 5 inches? (You may wish to use one of these
.)
2
3 and A 47rr
formulas: V = nr
1TV
dv
iT
We kiiow:
5
rS
3
3_
v.3.
iok
_-L
w
7
0
Page 3
the surface
3. The side length of a cube is increasing at the rate of 2 cm/s. How fast is
area of the cube increasing when the length of each side is 8 cm?
S
A
ds
ts;E
as
1,-e
c&amp;
h€
nk-ef
12iz
192.
Page 4
3 /min.
4. Water fills a conical cup of radius 2 cm and height 8 cm in deep at the rate of 6 cm
How fast is the depth of the water changing when it is 5 cm deep? (Recall the the volume
h.)
2
of a cone is given by V irr
—
-
1Tw4’)
s o1w7\$
(
1
Y
T
1
&amp;
r
so
V
dv
‘‘&amp;
Page 5
v.
e,iiqy
ti1-e
```