AP Calculus BC Quiz
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DIFFERENTIAL EQUATIONS
Question 1
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A lab culture satisfies
d
y
d
t
=
k
y
(
1
−
y
400
)
\frac{dy}{dt}=ky\left(1-\frac{y}{400}\right)
d
t
d
y
=
k
y
(
1
−
400
y
)
with
k
>
0
k>0
k
>
0
. If
y
=
400
y=400
y
=
400
, what is
d
y
d
t
\frac{dy}{dt}
d
t
d
y
?
A
$400k$
B
k
k
k
C
0
0
0
D
−
400
k
-400k
−
400
k
E
−
k
-k
−
k
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