Slope Fields Worksheet Page 3

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Calculus Maximus
WS 5.2: Slope Fields
For 13 – 16, match the slope fields with their differential equations.
13.
14.
15.
16.
dy
1
dy
 
(A)
x
1
(B)
x y
dx
2
dx
dy
dy
x
 
(C)
(D)
y
dx
dx
y
dy
 
17. The calculator-drawn slope field for the differential equation
x
y
is shown in the figure below.
dx
 
(a) Sketch the solution curve through the point
0,1 .
(b) Sketch the solution curve through the point
3, 0
.
y 
(c) Approximate ( 3.1)
using the equation of the tangent line to
y
f x
( )
at the point
3, 0
.
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