Frostbite
  • Frostbite
Any good techniques to plot a function of two variables by hand - or how do we do it anyway?
Mathematics
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Frostbite
  • Frostbite
Any good techniques to plot a function of two variables by hand - or how do we do it anyway?
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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klimenkov
  • klimenkov
The general way is to plot many different points that satisfy your equation and then to draw a curve through them.
Frostbite
  • Frostbite
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)
klimenkov
  • klimenkov
Oh, may be you are asking about surfaces.. I thought about equation \(F(x,y)=0\).

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Frostbite
  • Frostbite
surfaces yea
anonymous
  • anonymous
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
anonymous
  • anonymous
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.
Frostbite
  • Frostbite
Still i find it quite hard to see how they come up with this (see attachment)
1 Attachment
Frostbite
  • Frostbite
that is the function f(x,y)=x^2-xy+y by the way
anonymous
  • anonymous
ouch... hurts my brain!
anonymous
  • anonymous
I am not sure how to generate those graphs easily by hand... sorry!
klimenkov
  • klimenkov
|dw:1349108764775:dw|
Frostbite
  • Frostbite
Well thanks for trying. might just be a nutt to crack and then you can do it everytime.
klimenkov
  • klimenkov
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.
Frostbite
  • Frostbite
Yea okay i have it on a sketch infront of me - i think.
klimenkov
  • klimenkov
Why do you need to draw it?
klimenkov
  • klimenkov
Can you send a photo of what you've got?

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