The suspension bridge cable shown in the accompanying figure supports a uniform load of w pounds per

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The suspension bridge cable shown in the accompanying figure supports a uniform load of w pounds per horizontal foot. It can be shown that if H is the horizontal tension of the cable at the origin, then the curve of the cable satisfies the equation

Show that the cable hangs in a parabola by solving this differential equation subject to the initial condition that y = 0 when x = 0.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: May 07, 2023 01:55 AM

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The suspension bridge cable shown in the accompanying figure supports a uniform load of w pounds per

Question:

dy dx || W HX.

Step by Step Answer:

To show that the cable hangs in a parabola we need to solve the given differential equation and demo...View the full answer

Thomas Calculus Early Transcendentals

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