Can Bi-Quadratic Equations Be Represented in 3-Dimensional Graphs?

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Bi-quadratic equations can be represented in 3-dimensional graphs, with Z defined as a function of X and Y. The equation Z = a + bX + cX² + dY + eY² + fXY describes a surface in three-dimensional space. To visualize this in two dimensions, one can create contour plots in the XY plane or take slices by setting either X or Y to a constant value. This approach allows for overlapping graphs or simplified representations. Utilizing these methods can effectively illustrate the relationships within the bi-quadratic equation.
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Trying to solve a bi-quadratic eq. so I can graph in in x and y , but Z means this is a 3-D graph? , is it possible to have a overlapping graph or any ideas?? X= +100 &-100

Z= a + bX + cX² + dY + eY² + fXY
 
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Windseaker said:
Trying to solve a bi-quadratic eq. so I can graph in in x and y , but Z means this is a 3-D graph? , is it possible to have a overlapping graph or any ideas?? X= +100 &-100

Z= a + bX + cX² + dY + eY² + fXY

The equation Z= represents a surface in 3 space, as a function of X and Y. What are you trying to solve?
 
Im trying to break the equation into two parts to graph on a two dimensional axis or overlap the two on one graph, any ideas on dividing the equation into two??
 
Windseaker said:
Im trying to break the equation into two parts to graph on a two dimensional axis or overlap the two on one graph, any ideas on dividing the equation into two??

It depends what you what to show. You could make a contour plot in the xy plane. Or take a slice along some other plane. Just set x or y to a constant and it becomes a 2D graph.
 
too easy, thank you
 

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