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CalculusQ&A LibraryTwo 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 = bStart your trial now! First week only $4.99!*arrow_forward*

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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Calculus

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