# All Questions

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### Taylor series of an implicit function

Suppose the function $s:[-\delta, \delta] \to \mathbb{R}$, $\delta > 0$, is defined implicitly by $$s(t) = 1 - c\beta t (s(t))^{\beta}$$ for some $c > 0$, $0 <\beta < 1$. Can an ...
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### confudes with Dijkstra's algorithm.

I have tried to understand the question but I got really confused. So starting from node 3, the distance to other nodes are 3 to 1 = 3 3 to 2 = 1 3 to 4 = 4 3 to 5 = 2 3 to 6 = 3 3 to 7 = 2 ...
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### Challenging Question: for Expected Value of a particular probability density function

I've been stuck on this for a while and it's been driving me crazy. Any help would be greatly appreciated. I am trying to find the Expected Value of the following Probability Density Functions (where ...
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### functional equation for $x^2$ $f(f(x))=x^4$
If $f(f(x))=x^4$ for all real $x$ and $f(1)=1$ find $f(0)$. It seems that $f(x)=x^2$ but can we solve without this explicit form of $f$?