At the point on a slope field for the differential equation

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

Problem

At the point

(0,0)

on a slope field for the differential equation

\dfrac{dy}{dx}=f(x,y)

, the short line segment is horizontal. Which of the following statements about

\dfrac{dy}{dx}

at this point is most accurate? (a)

\dfrac{dy}{dx}>0

(b)

\dfrac{dy}{dx}=0

(c)

\dfrac{dy}{dx}

is undefined (vertical tangent) at this point (d) The value of

\dfrac{dy}{dx}

cannot be determined from the slope field