MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations
Problem
Three slope fields—P, Q, and R—are sketched on identical x–y grids.
• In field P, segments on any vertical line x=k share the same slope.
• In field Q, segments on any horizontal line y=k share the same slope.
• In field R, segments have zero slope on both axes and change sign by quadrant.
Which pairing correctly matches each field with its differential equation?
(a) P \to B,\; Q \to A,\; R \to C
(b) P \to C,\; Q \to B,\; R \to A
(c) P \to A,\; Q \to B,\; R \to C
(d) P \to A,\; Q \to C,\; R \to B