July 26th, 2015, 06:24 AM  #1 
Newbie Joined: Jul 2015 From: USA Posts: 1 Thanks: 0  Newton's method
A cable is freely suspended between two poles 100m apart on a flat ground and the height of each pole is 10m. The overhang required is 6.5m to ensure safety of traffic passing below the cable. The shape of the cable can be remodelled using the hyperbolic cosine function, y=acosh(x/a)+b. Use Newtonâ€™s method to find an approximate value of a. Hence, find the value of b. Leave your answers correct to two decimal places. Help! 
July 26th, 2015, 01:53 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,338 Thanks: 532 
Choose origin at 50m, so b=6.5a, resulting in y(0)=6.5. The equation you need to work with is y(50)=acosh(50/a)+6.5a=10.

July 27th, 2015, 08:30 AM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,717 Thanks: 697 
Do you know what "Newton's Method" is?

July 28th, 2015, 06:06 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,717 Thanks: 697 
Did you have a specific difficulty with this or do you just want someone to do your homework for you? If you know what "Newton's method" is, know how to find the derivative of acosh( x/a)+ b, and have calculated a few numbers, show us what you have done so we will know how to help you other than by doing your homework for you (which isn't going to happen!). 

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hyperbola, method, newton 
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