AP Calculus BC Quiz
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DIFFERENTIAL EQUATIONS
Question 1
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For the slope field of
d
y
d
x
=
x
+
y
\frac{dy}{dx}=x+y
d
x
d
y
=
x
+
y
, which statement about the solution through
(
0
,
0
)
(0,0)
(
0
,
0
)
is true?
A
It has negative slope for all
x
>
0
x>0
x
>
0
.
B
It is constant for all
x
x
x
.
C
It is increasing immediately to the right of
x
=
0
x=0
x
=
0
.
D
It is decreasing immediately to the right of
x
=
0
x=0
x
=
0
.
E
It has a vertical tangent at
(
0
,
0
)
(0,0)
(
0
,
0
)
.
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