AP Calculus BC Quiz
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DIFFERENTIAL EQUATIONS
Question 1
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Which slope field matches
d
y
d
x
=
e
x
\dfrac{dy}{dx}=e^x
d
x
d
y
=
e
x
, where slopes are always positive and increase as
x
x
x
increases?
A
Slopes form horizontal bands and increase as
y
y
y
increases.
B
Slopes form vertical bands, always positive, and get steeper to the right.
C
Slopes are negative for
x
>
0
x>0
x
>
0
and positive for
x
<
0
x<0
x
<
0
.
D
Slopes are zero along
x
=
0
x=0
x
=
0
and repeat periodically.
E
Slopes are constant along circles centered at the origin.
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