AP Calculus AB Quiz
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DIFFERENTIAL EQUATIONS
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A slope field corresponds to
d
y
d
x
=
y
y
2
+
1
\frac{dy}{dx}=\frac{y}{y^2+1}
d
x
d
y
=
y
2
+
1
y
. Which statement about slopes is true for all points?
A
Slopes are always negative.
B
Slopes are always between
−
1
2
-\tfrac12
−
2
1
and
1
2
\tfrac12
2
1
.
C
Slopes are always greater than
1
1
1
.
D
Slopes are undefined when
y
=
0
y=0
y
=
0
.
E
Slopes depend on
x
x
x
only.
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