The slope field for a differential equation assigns a short line segment to every…

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

The slope field for a differential equation assigns a short line segment to every point (x,y)(x,y) in the plane. Which of the following is represented by the slope of each segment? (a) the reciprocal derivative dxdy\dfrac{dx}{dy} evaluated at (x,y)(x,y) (b) the value of yy itself at (x,y)(x,y) (c) the value of dydx\dfrac{dy}{dx} evaluated at (x,y)(x,y) (d) the curvature d2ydx2\dfrac{d^{2}y}{dx^{2}} at (x,y)(x,y)

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