AP Calculus AB Quiz
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DIFFERENTIAL EQUATIONS
Question 1
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A savings balance
B
(
t
)
B(t)
B
(
t
)
satisfies
d
B
d
t
=
0.07
B
\frac{dB}{dt}=0.07B
d
t
d
B
=
0.07
B
. Which function solves for
B
(
t
)
B(t)
B
(
t
)
?
A
B
(
t
)
=
C
−
0.07
t
B(t)=C-0.07t
B
(
t
)
=
C
−
0.07
t
B
B
(
t
)
=
C
e
−
0.07
t
B(t)=Ce^{-0.07t}
B
(
t
)
=
C
e
−
0.07
t
C
B
(
t
)
=
0.07
t
+
C
B(t)=0.07t+C
B
(
t
)
=
0.07
t
+
C
D
B
(
t
)
=
C
e
0.07
t
B(t)=Ce^{0.07t}
B
(
t
)
=
C
e
0.07
t
E
B
(
t
)
=
C
+
e
0.07
t
B(t)=C+e^{0.07t}
B
(
t
)
=
C
+
e
0.07
t
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