question:A telephone cable susbended between two poles 20 meters appart hangs in a curve with equation: where -10<=x<=10

how long is the cable?

work:using the formula

this gives me an impossible (beyond my level) integral to solve

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- November 12th 2009, 05:45 PMsuperdudehow long is this cable? arc length question
question:A telephone cable susbended between two poles 20 meters appart hangs in a curve with equation: where -10<=x<=10

how long is the cable?

work:using the formula

this gives me an impossible (beyond my level) integral to solve - November 12th 2009, 06:06 PMchisigma
The problem can be easily solved remembering some properties of the hyperbolic functions. In fact is...

(1)

... so that is...

(2)

(3)

Kind regards

- November 12th 2009, 06:38 PMsuperdude
could someone elaborate on a differnt approach? I haven't learned about hyperbolic functions(Worried)