# Two curves are orthogonal if their tangent lines areperpendicular at each point of intersection. Show that the givenfamilies of curves are orthogonal trajectories of each other,that is, every curve in one family is orthogonal to every curvein the other family. Sketch both families of curves on the same axes.  y = ax 3 ,     x 2+ 3 y 2   =  b

Question

Two curves are orthogonal if their tangent lines are
perpendicular at each point of intersection. Show that the given
families of curves are orthogonal trajectories of each other,
that is, every curve in one family is orthogonal to every curve
in the other family. Sketch both families of curves on the same axes.

y = ax 3 ,     x 2+ 3 y 2   =  b

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Tagged in
Math
Calculus

### Applications of Derivative 