webwork 5

① )
daff ,÷
=
Put -
P
,
P > o




P
a) increasing pop
Os Lil



b) P
decreasing
s it
pop


c) PCO ) -
3 PC 61 ) = ?


I
dp =
-8 at
P ( Il -
P) 1100 P =




" 't
cel"
(I ) 'd "
+
at it


(2/25)



61,4
P ( 61 ) 11
zg
= .

e



( Int pl In Ill pl ) =

2- t + C 1425761
3g
- -




, + e.
275



In IPI -

In 111 - P I =
2- t t C P 161 ) =
10.7816
25




t.iq/=zettc
"




h
=



e(21254 -1C




25¥
Ce
1¥
=




( " 5) t (2125)t
P =
lice -
pce

(425 ) t
25) t
P ( I t Ce ) =
, ice


(21255L
P =




(2/25) -L
I + Ce


3 = 11C
-




I + C



3 -13C =
11C



C = 3
-




8

, ② initial 400 fish PCO) =
400

Max 3000 fish K =
3000

doubled first PCI ) = 800
in
year


⑨
( _P
)
KP
adit
= l -


PH ) = 3000
Kt
3000 I -16.5 e-


Pl ' ) 800




|p
=




"t
soo = 3000
- K
I -16.5 e



- K


30001N
I -16.5 e =




I IP 30001
IP -
In -
=
Kt -1C 800


K


(pf↳ )
-




In =
Kt t C e = 0.423076923


⑨ K =
0.86

=P = Cekt
P -
3000 ② Pct ) =
1500




I = P -
3000 1500 =
3000
-08Gt
Cekt 1+6 .se


Kt
)
0.8Gt
(
-




Ce
-


3000 =p i t I -16.5 e = 2


-
O 8£
Plt ) 3000
-


= 6.5 e =
I
- Kt
I t Ce
-
0.8Gt
e =
1-
Plo ) = 400 6.5



400 = 3000 -
0.861 = -

1.8718
I + C

t = 2.1765

400 -1400C =
3000



C =
6.5


PH ) = 3000
Kt
I -16.5 e-