Which of the following best describes what is represented in a slope field for a…
MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations
Problem
Which of the following best describes what is represented in a slope field for a first-order differential equation dxdy=f(x,y)?
(a) f(x,y) is integrated to draw a full solution curve through each chosen initial point.
(b) The values of f(x,y) are plotted as a surface above the (x,y)–plane.
(c) At each point (x,y), a small segment with slope f(x,y) is drawn.
(d) At each point (x,y), a segment is drawn whose length (rather than slope) equals f(x,y)."