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For the following exercises, match the given quadric surface with its corresponding equation in standard form.$$a. \frac{x^{2}}{4}+\frac{y^{2}}{9}-\frac{z^{2}}{12}=1$$$$b.\frac{x^{2}}{4}-\frac{y^{2}}{9}-\frac{z^{2}}{12}=1$$$$c.\frac{x^{2}}{4}+\frac{y^{2}}{9}+\frac{z^{2}}{12}=1$$$$d.\text z^{2}=4 x^{2}+3 y^{2}$$$$e. \text z=4 x^{2}-y^{2}$$$$f.\text 4 x^{2}+y^{2}-z^{2}=0$$Hyperboloid of two sheets

$\frac{x^{2}}{4}-\frac{y^{2}}{9}-\frac{z^{2}}{12}=1$

Calculus 3

Precalculus

Chapter 2

Vectors in Space

Section 6

Quadric Surfaces

Vectors

Introduction to Vectors

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So first day for a Pavel Lloyd of two. She's It has to be of the form. Um, some positive. Same time, Sex square. Ah, some negative seen times. Why? Or some negative thing times? Uh, the square you're the one. So just see which one of them has two negatives. Connective squares there, Which, um, is just be ex girl. Were four minus wise Grow or nine years. This Grover 12 it's one.

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