A slope field for is to be drawn at every lattice point with integer coordinates…

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

Problem

A slope field for

\dfrac{dy}{dx}=x^{2}-y^{2}

is to be drawn at every lattice point

(x,y)

with integer coordinates satisfying

-2\le x\le 2

and

-2\le y\le 2

. How many of these points will produce horizontal line segments (segments with slope zero)? (a)

5

(b)

9

(c)

8

(d)

10