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Question

The differential equation  (5 points)

I. produces a slope field with vertical tangents at y = 3

II. produces a slope field with vertical tangents at x = -1

III. produces a slope field with rows of parallel segments

Question 5 options:

1)	I only
2)	II only
3)	III only
4)	I and III

Answer 1

Since there would be a vertical asymptote when y=3, the answer would have to be 1) or 4). I graphed a few slope fields of dy/dx = (x+1)/(y-3), for (0,0), (1,1), (2,2), (-1,-1), and (-2,-2). I did not see any slopes parallel, so I would go with 1).