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anonymous

  • 4 years ago

Find the equation for the ellipse with foci (1,1) and (-1,-1) and major axis of length 4 **seems to shifted an angle in the xy coordinates**

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  1. anonymous
    • 4 years ago
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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

  2. Directrix
    • 4 years ago
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    Write the problem here exactly as the instructions appear in your book.

  3. anonymous
    • 4 years ago
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    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

  4. anonymous
    • 4 years ago
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    Eccentricity shall be given

  5. anonymous
    • 4 years ago
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    the only thing given was:Find the equation for the ellipse with foci (1,1) and (-1,-1) and major axis of length 4

  6. anonymous
    • 4 years ago
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    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

  7. anonymous
    • 4 years ago
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    Easy

  8. anonymous
    • 4 years ago
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    \[\frac{(x-y)^2}{16}+\frac{(x+y)^2}{8}=1\]

  9. anonymous
    • 4 years ago
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    okay, but the titlted part, does that have any impact

  10. anonymous
    • 4 years ago
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    Yep it changes orientation n xy plane

  11. anonymous
    • 4 years ago
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    and how do i find that angle

  12. anonymous
    • 4 years ago
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    Angle of major axis with with horizontal is 45deg same as angle between x-y and x axis

  13. anonymous
    • 4 years ago
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    how did you determine that?

  14. anonymous
    • 4 years ago
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    how did i determine what?

  15. anonymous
    • 4 years ago
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    that the angle is 45 degrees

  16. anonymous
    • 4 years ago
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    slope of x-y=0

  17. Directrix
    • 4 years ago
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    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

  18. anonymous
    • 4 years ago
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    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

  19. Directrix
    • 4 years ago
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    I would not worry about the angle. The instructions did not ask for it.

  20. anonymous
    • 4 years ago
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    great answer

  21. anonymous
    • 4 years ago
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    Thanx

  22. anonymous
    • 4 years ago
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    what about this problem:

  23. anonymous
    • 4 years ago
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    |dw:1328702038043:dw|

  24. anonymous
    • 4 years ago
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    it says to Transform the following equatioon by a rotaion of axes into an equation that has no cross product term

  25. anonymous
    • 4 years ago
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    Put x=Xsin(t)-Ycos(t) y=Xsin(t)+Ycos(t) and solve for t

  26. anonymous
    • 4 years ago
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    what angle do you get?

  27. anonymous
    • 4 years ago
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    after doing :|dw:1328702371977:dw|

  28. anonymous
    • 4 years ago
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    ?

  29. anonymous
    • 4 years ago
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    what angle do you get, you know the angle to plug into sin(t) and cos(t)

  30. anonymous
    • 4 years ago
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    More complicated than appears origin is also shifted

  31. anonymous
    • 4 years ago
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    No more ideas

  32. anonymous
    • 4 years ago
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    i get -pi/12, but i am unsure

  33. anonymous
    • 4 years ago
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    If it eliminates xy then it has to be the answer

  34. anonymous
    • 4 years ago
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    but what is cos(-pi/12)

  35. anonymous
    • 4 years ago
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    never mind ans will be accepted by your instructor any way it is

  36. anonymous
    • 4 years ago
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    alright man thanks

  37. anonymous
    • 4 years ago
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    cos(45-30)

  38. anonymous
    • 4 years ago
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    but its -pi/12

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