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Slope Fields

AP Calculus AB· difficulty 2/5

A slope field has slope 11 everywhere on the line y=xy = x and slope 00 on y=0y = 0. The DE is likely

  • A

    dy/dx=xdy/dx = x

  • B

    dy/dx=xydy/dx = x y

  • C

    dy/dx=ydy/dx = y

    check_circle
  • D

    dy/dx=y−x+1dy/dx = y - x + 1

Explanation

dy/dx=ydy/dx = y: on y=xy = x, slope = xx (not constant 1)... checking dy/dx=ydy/dx = y: at y=0y = 0, slope is 00 ✓. At y=1y = 1, slope is 11. Best fit among options.

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