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JoãoVitorMC
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translate and rotate the hyperbola 2 * x ^ 2 +6 * x * y +2 * y = 10 * (x + y +1)
 2 years ago
 2 years ago
JoãoVitorMC Group Title
translate and rotate the hyperbola 2 * x ^ 2 +6 * x * y +2 * y = 10 * (x + y +1)
 2 years ago
 2 years ago

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JoãoVitorMC Group TitleBest ResponseYou've already chosen the best response.0
This is the Equation \[x ^{2} + 3*x*y 5*x 4*y 5 =0\]
 2 years ago

ademm37 Group TitleBest ResponseYou've already chosen the best response.0
hyperbola equation== \[x^{2} \div a ^{2}  y^{2} \div b ^{2} =1\]
 2 years ago

ademm37 Group TitleBest ResponseYou've already chosen the best response.0
will be how to think
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
for translation x = X  h y = Y  k
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
For rotation \[ x = X \cos \theta  Y \sin \theta \\ y = Y \cos \theta + X \sin \theta \]
 2 years ago

JoãoVitorMC Group TitleBest ResponseYou've already chosen the best response.0
ok, but what i do first? translate or rotate?
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
do you want to reduce it to standard form?? \[ \frac {x^2}a  \frac {y^2} b = 1 \] ??
 2 years ago

JoãoVitorMC Group TitleBest ResponseYou've already chosen the best response.0
that's it, but to get this form i need to translate and rotate
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
It's indeed a hyperbola i guess translation first http://www.wolframalpha.com/input/?i=plot+2+*+x+^+2+%2B6+*+x+*+y+%2B2+*+y+%3D+10+*+%28x+%2B+y+%2B1%29 then rotation
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
Let me check first ... i'm not sure i haven't done this for very long time
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
I guess rotation first ... to eliminate the homogeneous form xy http://staff.argyll.epsb.ca/jreed/math30p/conics/standard.htm
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
this is going to be long work !!! do you have some kind of software for this type of job??
 2 years ago

JoãoVitorMC Group TitleBest ResponseYou've already chosen the best response.0
i use woframalpha sometimes, but i'll need to do this by hand heheh
 2 years ago

JoãoVitorMC Group TitleBest ResponseYou've already chosen the best response.0
ok, i'll start rotating first
 2 years ago

JoãoVitorMC Group TitleBest ResponseYou've already chosen the best response.0
thanks a lot!
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
best of luck ... when many terms are involved, my sight get worse ...
 2 years ago
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