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The question say to identify the type of conic section whose equation is given and find the vertices and foci, i am unsure wheter i should mention that its seems to on an angle or do i just go ahead and write down the equation for this ellipse
Write the problem here exactly as the instructions appear in your book.
identify the type of conic section whose equation is given and find the vertices and foci: Find the equation for the ellipse with foci (1,1) and (-1,-1) and major axis of length 4
Eccentricity shall be given
the only thing given was:Find the equation for the ellipse with foci (1,1) and (-1,-1) and major axis of length 4
i have no problem finiding the equation, but its just that it looks tilted on the xy coordinate system, and i am wondering if i should find the angle its tilted on and how would i do so
okay, but the titlted part, does that have any impact
Yep it changes orientation n xy plane
and how do i find that angle
Angle of major axis with with horizontal is 45deg same as angle between x-y and x axis
how did you determine that?
how did i determine what?
that the angle is 45 degrees
slope of x-y=0
Click the link to see the ellipse with equation: (x-y)^2/(16) + (x+y)^2/(8) =1 http://www.wolframalpha.com/input/?i=%28x-y%29%5E2%2F%2816%29+%2B+%28x%2By%29%5E2%2F%288%29+%3D1
i see its shifted at what looks like a 45 degree angle, but i am still unclear how to determine its a 45 degree angle
I would not worry about the angle. The instructions did not ask for it.
what about this problem:
it says to Transform the following equatioon by a rotaion of axes into an equation that has no cross product term
Put x=Xsin(t)-Ycos(t) y=Xsin(t)+Ycos(t) and solve for t
what angle do you get?
after doing :|dw:1328702371977:dw|
what angle do you get, you know the angle to plug into sin(t) and cos(t)
More complicated than appears origin is also shifted
No more ideas
i get -pi/12, but i am unsure
If it eliminates xy then it has to be the answer
but what is cos(-pi/12)
never mind ans will be accepted by your instructor any way it is
alright man thanks
but its -pi/12