Slope Fields Worksheet Page 5
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8Calculus Maximus
WS 5.2: Slope Fields
Multiple Choice:
19. Given the following slope field (with equilibrium
solutions, meaning the slopes are zero and a the
existence of a horizontal asymptote on the solution
y
y ), find the matching
graph, at
and
0
1
differential equation.
dy
dy
(A)
(B)
y y
1
y
1
y
dx
dx
dy
1
dy
y
1
y
(C)
(D)
1
e
dx
y
1
y
dx
dy
y
(E)
dx
y
1
dy
20. A slope field for the differential equation
42
y
will show
dx
and y-intercept of 42
x
(A) a line with slope 1
(B) a vertical asymptote at
42
y
(C) a horizontal asymptote at
42
(D) a family of parabolas opening downward
(E) a family of parabolas opening to the left
21. For which of the following differential equations will a slope field show nothing but negative slopes in
the fourth quadrant?
3
dy
x
dy
dy
dy
x
dy
y
2
(A)
(B)
xy
5
(C)
xy
2
(D)
(E)
3
2
2
dx
y
dx
dx
dx
dx
y
x
22. Which of the following differential equations would produce the slope field shown below?
dy
dy
dy
dy
dy
(A)
y
x
(B)
y
x
(C)
y x
(D)
y x
(E)
y
x
dx
dx
dx
dx
dx
Page 5 of 8
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