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Article #10An interesting question.
From: sahaf consulting - lahave yhoram
Date: Wed, 10 Oct 2001 12:13
Date: Wed, 10 Oct 2001 12:13
26 lines
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2119 bytes
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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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f458d,cd387670c39ba0bb,start X-Google-Attributes: gidf458d,public X-Google-Thread: 10d67e,cd387670c39ba0bb,start X-Google-Attributes: gid10d67e,public X-Google-ArrivalTime: 2001-10-09 06:05:05 PST Path: arc1-ca.pugleaf.net!archiver1.google.com!news1.google.com!sn-xit-02!supernews.com!newsfeed.direct.ca!look.ca!logbridge.uoregon.edu!arclight.uoregon.edu!news.tufts.edu!uunet!dca.uu.net!news-feed.netvision.net.il!194.90.1.15.MISMATCH!news!not-for-mail 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 Organization: NetVision Israel Lines: 29 Message-ID: <3BC43B7D.E8807CA9@netvision.net.il> NNTP-Posting-Host: ras18-p142.tlv.netvision.net.il Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Trace: news.netvision.net.il 1002629867 22023 62.0.81.142 (9 Oct 2001 12:17:47 GMT) X-Complaints-To: abuse@netvision.net.il NNTP-Posting-Date: 9 Oct 2001 12:17:47 GMT X-Mailer: Mozilla 4.73 [en] (Win98; U) X-Accept-Language: en