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#1 |
![]() Join Date: May 2007
SwedenLocation: GBG
Posts: 127
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q1. what are the focal points of and ellips with the equation x^2/14+y^2/5=1 ?
q2. what are the focal points of an ellips with major axis 2 along x-axis and minor axis 1 along the y-axis ? now on this equation: 16a^2+8a(2c^2/4a)+(4c^4/4a^2)= (x-c)^2 +(y-0)^2 at what points does the ellips cut the x- and y-axis.this will give the length of the major and minor axis. express the major and minor axis length's as term's of c and a i know this is alot of stuf but if you can help me with something id be a happy camper... i also hope its readable since i translated the questions myself thanks in advance T if anyone else but e-Gor knows anything about this feel free to add in and get me off his back... |
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#2 |
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PR Developer
![]() ![]() Join Date: Mar 2006
United KingdomLocation: Cambridge, UK
Posts: 3,447
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Don't know much about conic geometry, so can't give you a solution without learning it all myself (even though I think I'm supposed to know it...) Look up ellipse on wikipedia or something. But here's a few quick comments that might (or might not) be useful:
q1: I notice that it's symmetric around the x and y axes - so both foci must be on one or other of the axes, the same difference from the origin. In this case it's stretched more along the x axis, so the foci would be at (a,0) and (-a,0), for some a... q2: I assume with this you mean it has a centre of (2,1) with the major axis parallel to the x-axis and the minor parallel to the y-axis? In which case, surely you need more information to find the foci? Or am I not understanding the question? q3: To find where it cuts the x axis, just set x = 0. Likewise for the y axis. Too lazy to type out the algebra at the moment... Just something I noticed about the equation: taking out a factor of 1/a^2 you get a quadratic in (c/a)^2 which is usually going to be nicer to work with. No idea if that's useful or not though. i.e. (1/a^2) ( 16 + 4(c/a)^2 + (c/a)^4 ) = (x-c)^2 + y^2 Sorry I can't be of much help this time... |
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#3 |
![]() Join Date: Mar 2006
Location: The toon
Posts: 841
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.............what the f*ck
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#4 |
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nightwolf I do believe we are out of our depth.
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#5 |
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PR Artwork Team
![]() Join Date: Jan 2006
Posts: 2,591
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This is basic geometry from.....9th grade? Seriously?
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#6 |
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PR Mapper Team
![]() Join Date: Aug 2005
Posts: 3,054
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#7 |
![]() Join Date: May 2006
Location: Bethesda, MD
Posts: 679
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Task Force XXI [TF21]
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#8 |
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PR Developer
![]() ![]() Join Date: Mar 2006
United KingdomLocation: Cambridge, UK
Posts: 3,447
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#9 |
![]() Join Date: May 2006
Location: i dont know any more
Posts: 2,042
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owww i love this stuff. i think i figured it out on paper. but im going let you solve it as its the best way to learn
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#10 | |
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PR Developer
![]() ![]() Join Date: Mar 2006
United KingdomLocation: Cambridge, UK
Posts: 3,447
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Quote:
Personally, I hate geometry | |
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