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QUADRIC SURFACES Name Equation in Standard Form X Const

QUADRIC SURFACES Name Equation in Standard Form X Const

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we're now taking a look at some standard examples of Curves and surfaces namely we're going to look at conic sections which are ellipses hyperbolas and parabolas and we're going to look at their higher dimensional analoges which are quadric surfaces ellipsoids paraboloids and hyperboloids uh these are standard examples that we have run into before and will continue to run into uh especially in uh integration and uh well in terms of their relevance outside of Calculus class obviously uh conic sections are very relevant in physics because after all the planets uh rotate around the sun on elliptic paths and basically whenever you are tracking a particle in a potential field being it a gravitational potential field or an electric potential field depending on the particles energy the path will be an ellipse a parabola or a hyperbola so those things certainly are very real in physics even though we're going to see here that the motivation is mainly geometric f

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