Question 1
The following question explores features of a family of curves. The family is then linked to a homogeneous differential equation.
Consider the curve given by .
State the coordinates of the points where the curve crosses the x-axis.
The following question explores features of a family of curves. The family is then linked to a homogeneous differential equation.
Consider the curve given by y=x2+16x(x2−16).
State the coordinates of the points where the curve crosses the x-axis.
(−4,0),(0,0),(4,0)
Note: Award A0 if additional points are given.