Slope Fields Worksheet With Answers - Calculus Maximus, Ws 5.2 Page 3
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8WS 5.2: Slope Fields
Calculus Maximus
WS 7.1: 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)
y
(D)
= −
=
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
.
(
)
−
(c) Approximate ( 3.1)
y −
y
f x
( )
using the equation of the tangent line to
at the point
3, 0
.
(
)
=
−
Page 3 of 6
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