Abstract
In this chapter we consider three types of applied one-variable calculus problems which are basically geometrical in character: maxima and minima (extrema) associated with geometrical configurations, related rates, and volumes of solids with similar cross-sections. (Other geometrical problems are treated in Chapter III, Physics and Engineering: centre of mass, moment of inertia; in Chapter VIII, Techniques: tangent line, normal line, area of a region, volume of a solid of revolution, arc length, area of a surface of revolution, parametric curves, polar coordinates.)
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© 1984 Springer-Verlag Berlin Heidelberg
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Bluman, G.W. (1984). Geometry. In: Problem Book for First Year Calculus. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1132-7_2
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DOI: https://doi.org/10.1007/978-1-4612-1132-7_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96172-9
Online ISBN: 978-1-4612-1132-7
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