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This document gives all solution in volume calculus

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Introduction to CalculusVolume IIby J.H. HeinbockelThe regular solids or regular polyhedra are solid geometric figures with the same identical regularpolygon on each face. There are only five regular solids discovered by the ancient Greek mathematicians.These five solids are the following.the tetrahedron (4 faces)the cube or hexadron (6 faces)the octahedron (8 faces)the dodecahedron (12 faces)the icosahedron (20 faces)Each figure follows the Euler formulaNumber of faces + Number of vertices = Number of edges + 2F+V=E+ 2Introduction to CalculusVolume IIby J.H. HeinbockelEmeritus Professor of MathematicsOld Dominion Universityc Copyright2012 by John H. Heinbockel All rights reservedPaper or electronic copies for noncommercial use may be made freely without explicitpermission of the author. All other rights are reserved.This Introduction to Calculus is intended to be a free ebook where portions of the textcan be printed out. Commercial sale of this book or any part of it is strictly forbidden.iiPrefaceThis is the second volume of an introductory calculus presentation intended for futurescientists and engineers. Volume II is a continuation of volume I and contains chapters sixthrough eleven. The chapter six presents an introduction to vectors, vector operations, differentiation and integration of vectors with many application. The chapter seven investigatescurves and surfaces represented in a vector form and examines vector op

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