Hello... I am new to the forum...(adsbygoogle = window.adsbygoogle || []).push({});

I just took part in the TN math comptetion today at University of Memphis and I had a few questions that I could not solve...

In particular...

Let [tex]f(x)=\sqrt{x+\sqrt{0+\sqrt{x+\sqrt{0+\sqrt{x...}}}}}[/tex]... ad inf...

If [tex]f(a)=4[/tex], what is [tex]f'(a)[/tex]?

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Just a general problem

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A dog sees a rabbit. Position of the dog is somewhere on the x-axis, the rabbit, on the y-axis... At this time, the dog moves directly towards the rabbit as the rabbit runs up the y-axis... if both the dog and the rabbit travel at some constant velocity V, does the dog catch the rabbit? If so, where? If not, why not? And how does one model this function?

Thats all for now...

Chang

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# Confused about a few things

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