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Concept explainers
These exercises reference the Theorem of Pappus: If R is a bounded plane region and L is a line that lies in the plane of R such that R is entirely on one side of L, then the volume of the solid formed by revolving R about L is given by
Use the Theorem of Pappus and the fact that the area of an ellipse with semiaxes a and b is
about the y-axis. Assume that
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Chapter 14 Solutions
Calculus: Early Transcendentals, Enhanced Etext
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Glencoe Math Accelerated, Student Edition
Calculus: Single And Multivariable
- Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?arrow_forwardFind the exact volume of the solid that results when the triangular region with vertices at 0, 0, 6, 0 and 6, 4 is rotated about the a x-axis b y-axisarrow_forwardFind the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed when the region bounded in Quadrant I by the axes and the lines x = 9 and y = 5 is revolved about the a) x-axis b) y-axisarrow_forward
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