A student plans to sketch the slope field for on the lattice consisting of all points…

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

Problem

A student plans to sketch the slope field for

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

on the

3\times3

lattice consisting of all points

(x,y)

where

x

and

y

are integers and

-1\le x\le1

-1\le y\le1

. At how many of these nine lattice points will the slope of the short segment satisfy

0\le m<1

? (a) 6 (b) 3 (c) 2 (d) 4