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94.30 Ratios of volumes related to the odd extension of a power function

Published online by Cambridge University Press:  23 January 2015

Timothy G. Feeman
Affiliation:
Villanova University, Villanova, PA 19085-1699 USA, e-mails: timothy.feeman@villanova.eduosvaldo.marrero@villanova.edu
Osvaldo Marrero
Affiliation:
Villanova University, Villanova, PA 19085-1699 USA, e-mails: timothy.feeman@villanova.eduosvaldo.marrero@villanova.edu

Abstract

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Type
Notes 94.26 to 94.40
Copyright
Copyright © The Mathematical Association 2010

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References

1. Brown, H. I., Burgmeier, J. W. and Dummit, D. S., Functions whose successive tangent lines enclose proportional areas, Amer. Math. Monthly 103 (1996) pp. 779787.10.1080/00029890.1996.12004817Google Scholar
2. Feeman, T. G. and Marrero, O., Lengths of successive chords of the odd extension of a power function, Mathematics and Computer Education 34 (2000) pp. 1923.Google Scholar
3. Feeman, T. G. and Marrero, O., Sequences of chords and of parabolic segments enclosing proportional areas, College Mathematics Journal 31 (2000) pp. 379382.10.1080/07468342.2000.11974177Google Scholar
4. Feeman, T. G. and Marrero, O., Affine transformations, polynomials, and proportionality, Amer. Math. Monthly 108 (2001) pp. 972975; see also the correction in Amer. Math. Monthly 110 (2003) p. 80.10.1080/00029890.2001.11919831Google Scholar