Contour: Constructing a Contour Map from h(x,y) = x^2 + y

  • Thread starter Thread starter hexa
  • Start date Start date
  • Tags Tags
    Map
AI Thread Summary
To create a contour map from the height field h(x,y) = x^2 + y within the specified domain, the cross sections should be taken at y = 0, y = 4.5, and y = 9. The northern part of the domain corresponds to the highest value of y (y = 9), the middle part to y = 4.5, and the southern part to y = 0. The height (z) is always non-negative due to the domain constraints. This approach confirms the correct interpretation of the cross sections for the contour map.
hexa
Messages
32
Reaction score
0
Hello,

I have a sum:
-------
make a contour map from a height field h(x,y) = x^2 + y on the domain: [-3<_ x <_3 ; 0<_ y <_9]. Make an east-western cross section (paralell to x-axis) through the field h in the northern, middle and southern part of the domain and draw all three height profiles into a figure.
-------
Well, the first part is not really a problem, but what would be the northern, middle and southern part of such cross section? I can only imagine a negative and positive value for y and zero for the middle?

hexa
 
Last edited:
Physics news on Phys.org
y can't be negative based on the domain you supplied. Therefore, the height is always non-negative. Making a cross section I would think means make a cross section at y = 9, another at y = 4.5, and another at y = 0. In other words, set z = x^2 + y, and draw the height (z) at y = 9, 4.5, and 0.
 
you're right, daveb, didn't think of the domain. But still that's more or less what I thought. Thanks a lot for confirming.
 
Back
Top