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Sketch and identify a quadric surface that could have the traces shown.
Traces in $ x = k $Traces in $ z = k $
This is a one-sheeted hyperboloid
Vectors and the Geometry of Space
Cylinders and Quadric Surfaces
Harvey Mudd College
University of Michigan - Ann Arbor
In mathematics, a vector (…
Sketch and identify a quad…
Use traces to sketch and i…
Sketch the appropriate tra…
So, um, for this problem, we want to look at when x is constant. When x is constant, we see we get the equation of the form P Y squared plus Q Z squared equals one. Lindsay is constant. We get something of the form M X squared minus and Y squared equals one. And therefore we have an equation of the surface that's of the form a X squared minus B y squared plus C Z squared equals one, and that's going to be a one sheeted hyperba, Lloyd. So the way we make sense of this is if we have, um, our Z axis and then we have the Y axis, and then we have our X axis. What we end up seeing is that this sheet will be in such a way that it opens up here, and then it kind of has this hourglass shaped like this. So that would be our one sheeted hyper Boyd
In mathematics, a vector (from the Latin word "vehere" meaning &qu…
In mathematics, a vector (from the Latin "mover") is a geometric o…
Use traces to sketch and identify the surface.
$ x = y^2 - z^2 $
$ y = z^2 - x^2 $
Sketch the appropriate traces, and then sketch and identify the surface.…
$ x = y^2 + 4z^2 $