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

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SUMMARY

The discussion focuses on constructing a contour map from the height field defined by h(x,y) = x^2 + y within the domain [-3 ≤ x ≤ 3; 0 ≤ y ≤ 9]. Participants clarify that the northern, middle, and southern cross sections correspond to y-values of 9, 4.5, and 0, respectively. The height (z) is calculated as z = x^2 + y, ensuring all values remain non-negative due to the specified domain. The conversation emphasizes the importance of understanding the domain constraints when creating cross sections.

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hexa
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Hello,

I have a sum:
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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.
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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
 
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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.
 

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