Slope Fields

AP Calculus AB· difficulty 3/5

The yellow curve is a particular solution of the slope-field DE plotted. Solutions are

  • A

    Tangent to the slope-field segments

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  • B

    Random with respect to slope segments

  • C

    Perpendicular to them

  • D

    Always horizontal

Explanation

A solution curve has slope at each point equal to the indicated slope; the curve is locally tangent to the field segments.

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