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Page 1: Orthogonal trajectories - MattHenes.com Notes/9.3, Cont... · Orthogonal trajectories 30 Find orthogonal trajectories to the family of curves givenby y K X orthogonal means perpendicular

9 3 Cont

Orthogonal trajectories

30 Find orthogonal trajectories to thefamily of curves given byy K X orthogonal means perpendicular

tangent lines fLy hay 34 2 negative reciprocal slopes

disF Z k Ey

K can represent any real number so weneed to replace it

if 6 3 K 4So days Z Ep days 32ft

def 25g 3 y dy 2x dxZzy X't C

Page 2: Orthogonal trajectories - MattHenes.com Notes/9.3, Cont... · Orthogonal trajectories 30 Find orthogonal trajectories to the family of curves givenby y K X orthogonal means perpendicular

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