For any rose-petal curve in the form r = a cos(n0) with the same maximum length a, the equation with the greater number of petals m, (m = n for odd, 2n for even) will always yield to larger area of the curve. 7. 9. The Theorem of Pappus will always be applicable to determine the volume of solid revolution for as long as the centroid of the figure and its distance from the axis of revolution are given. 10. The shell method is most applicable for cases when the area to be revolved is some p(y) distance from the axis of revolution.

For any rose-petal curve in the form r = a cos(n0) with the same maximum length a, the equation with the greater number of petals m, (m = n for odd, 2n for even) will always yield to larger area of the curve. 7. 9. The Theorem of Pappus will always be applicable to determine the volume of solid revolution for as long as the centroid of the figure and its distance from the axis of revolution are given. 10. The shell method is most applicable for cases when the area to be revolved is some p(y) distance from the axis of revolution.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks