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### fplot and finding roots

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OK, the problem calls for me to find the positive roots of x*tan(x) =
7.

And yes, I know that it will be a long answer.

My professor suggested using ginput to do it, but does anyone know of
a more accurate way?

I have a shaky hand, and tend to move my hand a bit and not get a

Thanks!!!
 0
Reply ironeagle8181 (43) 3/18/2005 6:50:00 AM

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Good morning,

I think, you should use the following details: The function x*tan(x)
has many poles - each at (k+.5)*pi... This would mean, that each
positive root of your problem as to lie between these poles.
Think about newton iteration on the shifted problem g(x)=x*tan(x)-7 -
for finding the zeros. A maybe clever starting point for the iterations
might be k*pi.
Okay, I hope, this is helpful.

Greetings,
Bastian

 0
Reply bastian.ebeling1 (14) 3/18/2005 8:40:37 AM

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