In a slope field drawn for a certain differential equation
MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations
Problem
In a slope field drawn for a certain differential equation, the short segment at the point (1,2) rises approximately 1 unit for every 2 units it runs to the right. At the point (2,1), the segment rises approximately 3 units for every 1 unit to the right. Based on this information, at which point is the solution curve increasing more rapidly?
(a) The solution increases at the same rate at both points
(b) (1,2) only
(c) The available information is insufficient to compare the rates
(d) (2,1) only