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2.7 Linear models(growth/decay, heating/cooling, circuits, mixtures) 2.8 Non-linear models (Population dynamics, logistic equation, chemical reaction, leaking tank)
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Cheat sheet ENGR 213
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chloelaw
Content preview
① start 5203h 1560 .
a) dP=kP
It
Pct )
-
- poekt
Po =
520
P( 3) = 1560
PL 3) = poems)
3K
1560 = Poe
's
1560 =
520 e3
1561 =e3k
520
( Eff )
"
-
3k
sin ( II)
* ' '
1h32
K =
20.36620
0.3664
Plt ) = poe
b) 1=2
0.366212 )
PLZ ) -
-
520 e I 1081,6347
c) Pct ) -
1030
0.3662cL)
1030=520 @
t =
1.8664
② dim
= -
km
at
Kat
Imam
= -
Im dm -
f -
Kdt
In Imf = -
K Ltc
-
m
-
-
e
-
kttec
, - Kt c
m
=
e e
Kt
MH)= Ce
-
4=680
m ( 680) =
0.63C
-
680K
0.63C
=
Ce
- 680K
e
0.63
=
In ( 0.63 ) = 680K
-
K = -
In 10.63)
680
a) half life =
0.5C
In ( 0.63)
t
Eso
0.5C =
Ce
Into -63)
t
Gso
0.5
=
e
In 10.5 ) =
Into -63 ) f
.
680
680 Into -5) 1020.138
-L= days
=
In 10.63 )
b) 100 →
96mg
M ( 100) =
96
C =
100 m
= 96
In 10.63) f
680
96=1002
In ( 0.633£
680
0.96 e
=
In 10.96 ) =
In 10.63)
e
680
f. 680 In 10.96) 60,0797
days
= =
In 10.63 )
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