AP Calculus AB Quiz
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DIFFERENTIAL EQUATIONS
Question 1
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The amount of medicine
M
(
t
)
M(t)
M
(
t
)
decreases at a rate proportional to
M
(
t
)
M(t)
M
(
t
)
. Which differential equation models
M
M
M
?
A
d
M
d
t
=
−
k
M
\dfrac{dM}{dt}=-kM
d
t
d
M
=
−
k
M
B
d
M
d
t
=
k
−
M
\dfrac{dM}{dt}=k-M
d
t
d
M
=
k
−
M
C
d
M
d
t
=
k
M
\dfrac{dM}{dt}=\dfrac{k}{M}
d
t
d
M
=
M
k
D
d
t
d
M
=
−
k
M
\dfrac{dt}{dM}=-kM
d
M
d
t
=
−
k
M
E
d
M
d
t
=
k
M
+
t
\dfrac{dM}{dt}=kM+t
d
t
d
M
=
k
M
+
t
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