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Match the equation with its graph (labeled I-VIII). Give reasons for your choice.
$ x^2 + 4y^2 + 9z^2 = 1 $
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Vectors and the Geometry of Space
Cylinders and Quadric Surfaces
Missouri State University
Oregon State University
In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.
In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.
Match the equation with it…
Okay. I have X squared, Y squared and Z squared with plus signs in between equal to one. So I know that this is a ellipse wide. Mm. All right. So what you need to do is rewrite it so that The four is 1/4 in the denominator and the nine is 1 9th in the denominator. All right. So now online X. Is the one coming out and this is why. Okay. Okay. So underneath the X is one square to one is one. So I go out to one underneath the Y squared is 1/4 and the square root of 1/4 is one half. So I go to one half on the Y. When half in -1 half. And then um underneath disease 1/9. So one third and one third on the sea. Okay. So sort of like a football or hoagie Hoagie bun. Right. And it's long on the X axis and short on the Y axis.
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