6. A cable for a su sp en si on bridge has the sh ape of a parabol a with eqation y = kx². Let h represent the height of the cable from its lowest point to its highest point and let 2w represent the total span of the bridge. Show that the length C of the cable is given by C = 2 | VI+(4h²/w²) ²dx.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.3: Hyperbolas
Problem 1E: A hyperbola is the set of all points in the plane for which the ___ of the distances from two fixed...
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6. A cable for a suspen si on bridge has the sh ape of a parabola with eqation y = kr². Let h represent
the height of the cable from its lowest point to its highest point and let 2w represent the total
span of the bridge. Show that the length C of the cable is given by
C = 2 VI+(4h² /w²) r²dx.
Transcribed Image Text:6. A cable for a suspen si on bridge has the sh ape of a parabola with eqation y = kr². Let h represent the height of the cable from its lowest point to its highest point and let 2w represent the total span of the bridge. Show that the length C of the cable is given by C = 2 VI+(4h² /w²) r²dx.
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