Section
2.3
Modeling
with
First
Order:
Problem
9
(1
point)
Dead
leaves
accumulate
on
the
ground
in
a
forest
at
a
rate
of
2
grams
per
square
centimeter
per
year.
At
the
same
time,
these
leaves
decompose
at
a
continuous
rate
of
80
percent
per
year.
A.
Write
ential
equation
for
the
total
quantity
Q
of
dead
leaves
(per
square
centimeter)
at
time
7:
B.
Sketch
a
solution
to
your
differential
equation
showing
that
the
quantity
of
dead
leaves
tends
toward
an
equilibrium
level.
Assume
that
initially
(#
=
0)
there
are
no
leaves
on
the
ground.
What
is
the
initial
quantity
of
leaves?
Q(0)
=
@
What
is
the
equilibrium
level?
Q,,,
=
Does
the
equilibrium
value
attained
depend
on
the
initial
condition?
A.yes
OB.no
