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Frostbite Group Title

Any good techniques to plot a function of two variables by hand - or how do we do it anyway?

  • one year ago
  • one year ago

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  1. klimenkov Group Title
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    The general way is to plot many different points that satisfy your equation and then to draw a curve through them.

    • one year ago
  2. Frostbite Group Title
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    Well i am reading in my math book "Functions of Several Variables" trying to figure out what they mean, but find it quite hard. They constantly refure to something called outlines and contours (don't know if it is called outlines but best translation i can do so far)

    • one year ago
  3. klimenkov Group Title
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    Oh, may be you are asking about surfaces.. I thought about equation \(F(x,y)=0\).

    • one year ago
  4. Frostbite Group Title
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    surfaces yea

    • one year ago
  5. JakeV8 Group Title
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    you can hold one of the 3 variables constant and plot the remaining 2-variable equation... such as a y = mx + b line, with z or f(x,y) held constant is like looking at the edge of the plane that would occur if you extended that line into the 3rd dimension

    • one year ago
  6. JakeV8 Group Title
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    or a parabola on an x-y plane would extend into a "trough" shape when you extend it. More complicated functions in 2 variables are not simple 2 dimensional curves extended into 3 dimensional space, though.

    • one year ago
  7. Frostbite Group Title
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    Still i find it quite hard to see how they come up with this (see attachment)

    • one year ago
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  8. Frostbite Group Title
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    that is the function f(x,y)=x^2-xy+y by the way

    • one year ago
  9. JakeV8 Group Title
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    ouch... hurts my brain!

    • one year ago
  10. JakeV8 Group Title
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    I am not sure how to generate those graphs easily by hand... sorry!

    • one year ago
  11. klimenkov Group Title
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    |dw:1349108764775:dw|

    • one year ago
  12. Frostbite Group Title
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    Well thanks for trying. might just be a nutt to crack and then you can do it everytime.

    • one year ago
  13. klimenkov Group Title
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    Try to write it like this \(f(x,y)=x^2+y(1-x)\). Let x be a constant and draw a line in a plane x=const. Do this several times. Next let y=const and then try to find out what you've got.

    • one year ago
  14. Frostbite Group Title
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    Yea okay i have it on a sketch infront of me - i think.

    • one year ago
  15. klimenkov Group Title
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    Why do you need to draw it?

    • one year ago
  16. klimenkov Group Title
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    Can you send a photo of what you've got?

    • one year ago
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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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