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Elliptic Paraboloid
The equation which is given here is the equation of an elliptic paraboloid.
x2/a2 + y2/b2 = z/c
Like with cylinders this has a cross section of an ellipse and if a = b it will comprise a cross section of a circle. While we deal with these we'll usually be dealing with the type that has a circle for a cross section.
Here is a diagram of a typical elliptic paraboloid.
In this type of case the variable that isn't squared find outs the axis upon which the paraboloid opens up. As well, the sign of c will determine the direction that the paraboloid opens. If c is positive after that it opens up and if c is negative then it opens down.
These experiences should be related to the mathematical concepts and ideas that we teach them. Only then will these ideas appear relevant to the children, and be absorbed by them
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