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The probability that a family has exactly \(n\) children is \(\alpha p^n, n \ge 1\) and \(\alpha\) is a positive constant. All sex distributions (male or female) of ...

Take \(Ethyne(\ce{C2H2})\), and perform the following reactions sequentially.

Reactions

Keep it in red hot \(\ce{Fe}\) tube at \(873K\)

Then add \(\ce{O3/Zn}\)

Then add ...

\[\large \begin{cases} f(x)=2+6x+12x^{2}+20x^{3}+30x^{4}+\cdots+ n(n+1) x^{n-1}+...\\ g(x)= \dfrac{1}{f(x)}+\dfrac{1}{f^{'}(x)}+\dfrac{1}{f^{''}(x)}+\dfrac{1}{f^{'''}(x)}+\cdots\end{cases} \]

In the above-shown step by step synthesis of product \(P\), \(E\) is a zwitterion of product \(D\) which is prepared by heating \(C\) at \(453 - 473 \ \text{K}\). The product ...

A shoelace of length \(l = 60 \, \text{cm} \) and mass \(m = 8 \, \text{g} \) lies on the edge of a table with an overhanging part of lenght ...

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