orthogonal trajectories - matthenes.com notes/9.3, cont... · orthogonal trajectories 30 find...

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9 3 Cont Orthogonal trajectories 30 Find orthogonal trajectories to the family of curves given by y K X orthogonal means perpendicular tangent lines f Ly hay 34 2 negative reciprocal slopes dis F Z k E y K can represent any real number so we need to replace it if 6 3 K 4 So days Z Ep days 32ft def 25g 3 y dy 2x dx Zz y X't C

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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

2 235

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