Three Dimensional Space

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CALCULUS II
Three Dimensional Space
Paul Dawkins

Calculus II

Table of Contents
Preface............................................................................................................................................. ii Three Dimensional Space .............................................................................................................. 3
Introduction ................................................................................................................................................ 3 The 3-D Coordinate System ....................................................................................................................... 5 Equations of Lines.................................................................................................................................... 11 Equations of Planes .................................................................................................................................. 17 Quadric Surfaces ...................................................................................................................................... 20 Functions of Several Variables................................................................................................................. 26 Vector Functions ...................................................................................................................................... 33 Calculus with Vector Functions ............................................................................................................... 42 Tangent, Normal and Binormal Vectors .................................................................................................. 45 Arc Length with Vector Functions ........................................................................................................... 49 Curvature…...

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