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# Questions tagged [calculus]

For basic questions about limits, derivatives, integrals and applications, mainly of one-variable functions.

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### Show that a function is negative over its domain

I would like to demonstrate that the following function is negative -\frac{t}{4\sqrt{x}^3}\bigg[1-\bigg(1+\sqrt{x}\bigg)^{\frac{1}{t-1}}\bigg]+\bigg(\frac{1}{1-t}\bigg)\bigg(\frac{t}{...
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### Singularity of holomorphic function

Let $f: \mathbb C \rightarrow \mathbb C$ be a holomorphic function in an open set around some $c \in \mathbb C$, but excluding $c$. Moreover, assume that the Laurent series for $f$ around $c$ ...
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### Mechanics question : Tension

I think there are 10 unknowns. $$A_y,A_x,B_y,B_x,C_x,C_y,D_x,D_y,E_x,T$$ And unable to obtain 10 equations so uanble to solve this question. The answer is 138 lb according to the book for the ...
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