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Calculus

The differential equation dy/dx=(y-2)/(y+1)

produces a slope field with horizontal tangents at y = 2
produces a slope field with vertical tangents at y = −1
produces a slope field with columns of parallel segments

a) I only <------- My answer ( This is correct??)
b) II only
c) I y II only
d) III only

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  1. I am between answer A and C???

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  2. Can you help me please????

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  3. desmos can draw slope fields for you at

    https://www.desmos.com/calculator/p7vd3cdmei

    Since dy/dx = (y-2)/(y+1)
    you are correct that I is correct.
    But, II must also be correct, since you are trying to divide by zero

    Since dy/dx is independent of x, it must produce rows of parallel segments.
    But surely not columns, since y varies as you move vertically.

    So, C is the answer.

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    oobleck
  4. Thank you

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