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Article #10

An interesting question.

#10
From: sahaf consulting - lahave yhoram
Date: Wed, 10 Oct 2001 12:13
26 lines
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Hi. I got this equation, and I don`t know how to solve it. Just
for convenience, to type the derivative of f{x}, I`ll type f`{x}. {}
means
of this function. The purpose of this equation is to find g`{x}. Please
help
me if you can, I`ve tried many things. (Sqrt[x] means x^(1/2))

g`{(Sqrt[x^2+f{x}^2])/(Sqrt[1+((f{x}-x*Tan[Alpha])/(f{x}*Tan[Alpha]+x))^2])}
= (f`{x}-Tan[Alpha])/(Tan[Alpha]*f`{x}+1)


    I know this look complicated, but it looks much more simple when you
see on
paper. I`m not perfectly sure that it is solvable, but it seems so. I`ve
tried
integrating both sides of the equation. I`ve tried to see if I can
create a function
arc[g], and so on. The actual meaning of this equation has to do with
turning a function
around. If one can solve it, it means a new bridge between vectors and
calculus.


This is very important to me, please at least try to solve it.

              Best of luck & wishes, Hilaf Hasson.
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From: sahaf consulting - lahave yhoram <thai@netvision.net.il>
Newsgroups: uk.education.maths,aus.mathematics
Subject: An interesting question.
Date: Wed, 10 Oct 2001 14:13:49 +0200
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