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Asked by TayB

Find the orthogonal trajectories for the family of curves y=(kx)^6.
9 years ago

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Answered by Steve
for our function,

y' = 6k(kx)^5

so, we want other curves whose slope is

y' = -1/(6k^6) x^-5
y = 1/(24k^6 x^4)
or, to make things look more similar,

y = 1/(24k^2) (kx)^-4
9 years ago
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Find the orthogonal trajectories for the family of curves y=(kx)^6.

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