Between the two towers of a suspension bridge that are 2 kilometres apart, each of the two main cables has the shape of the parabola y =x2 (units are in kilometre) and hanging from the same height of the towers. Meanwhile, the vertical cables hanging from the main cable to the horizontal roadway are closely and equally spaced. a) State the definite integral which gives the length of each main cable between the two towers. b) Compute the average length (to the nearest meter) of the vertical cables.

Between the two towers of a suspension bridge that are 2 kilometres apart, each of the two main cables has the shape of the parabola y =x2 (units are in kilometre) and hanging from the same height of the towers. Meanwhile, the vertical cables hanging from the main cable to the horizontal roadway are closely and equally spaced. a) State the definite integral which gives the length of each main cable between the two towers. b) Compute the average length (to the nearest meter) of the vertical cables.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

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