When sketching an integral curve on a slope field for the differential equation
MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations
Problem
When sketching an integral curve on a slope field for the differential equation dxdy=f(x,y), which requirement must be satisfied at every point the curve passes through?
(a) The curve’s y-coordinate at each point must equal f(x,y).},{
(b) The curve’s tangent at each point should be perpendicular to the segment shown in the slope field there.
(c) The curve’s tangent at each point must have the same slope as the segment shown in the slope field at that location.
(d) The curve’s tangent at each point must have the same magnitude, but not necessarily the same sign, as the slope indicated by the field’s segment there.