Find a parametric equation for the osculating circle to the ellipse 7x^2 + 5y^2 = 35 at (-sqrt(5),0).

Question

owlfred · Answer

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anonymous · Answer

osculating?

anonymous · Answer

root7cost, root7sint

anonymous · Answer

t= pi

anonymous · Answer

The osculating circle would be a circle that not only goes through the point (2,0) but has the same slope and curvature as the ellipse at that point.

anonymous · Answer

why 2,0??

anonymous · Answer

sorry its -sqrt(5),0

anonymous · Answer

so isnt it the auxilliary circle?

anonymous · Answer

not it doesnt pass through the point..pellet

anonymous · Answer

x=rcost, y=rsint
not plug in (-root5, 0) and then equate the slopes of the ellipse and cicle..gives u 2 eqns in r and t

anonymous · Answer

isnt it?

anonymous · Answer

i guess ... so didn't work it out...laurbear:best thing is to search net for this problem...they wud'ved solved it already so get it done :)

anonymous · Answer

is my method wrong?

anonymous · Answer

i don't know exactly boss...i'm not in mood for solving now... :/