Slope Fields

AP Calculus AB· difficulty 3/5

x

The slope field shown (slopes proportional to yy) suggests:

  • A

    dy/dx=kdy/dx = k

  • B

    dy/dx=kxdy/dx = kx

  • C

    dy/dx=x+ydy/dx = x+y

  • D

    dy/dx=kydy/dx = ky

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Explanation

Slopes depend on yy (zero at y=0y=0, larger magnitudes for larger y|y|), giving dy/dx=kydy/dx = ky.

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