Question Number 128069 by 0731619177 last updated on 04/Jan/21 Answered by Dwaipayan Shikari last updated on 04/Jan/21 $$\frac{{d}}{{dx}}\left({x}!\right)=\Gamma'\left({x}+\mathrm{1}\right)=\Gamma\left({x}+\mathrm{1}\right)\psi\left({x}+\mathrm{1}\right)={x}!\left(−\gamma+\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}}−\frac{\mathrm{1}}{{n}+{x}}\right) \\ $$ Answered by A8;15:…
Question Number 62519 by azizullah last updated on 22/Jun/19 Answered by $@ty@m last updated on 22/Jun/19 $$\left({i}\right)\:{A}={bh}−\frac{\mathrm{1}}{\mathrm{2}}{bh}=\frac{\mathrm{1}}{\mathrm{2}}{bh} \\ $$$$\Rightarrow\mathrm{2}{A}={bh} \\ $$$$\left({ii}\right)\:{A}={ab}−\mathrm{4}{x}^{\mathrm{2}} \\ $$ Commented by…
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Question Number 128029 by Algoritm last updated on 03/Jan/21 Answered by MJS_new last updated on 03/Jan/21 $$\mathrm{3}^{−\mathrm{5}/\mathrm{4}} <{x}<\mathrm{3}^{−\mathrm{1}} \vee\mathrm{3}^{\mathrm{5}} <{x} \\ $$$$\mathrm{let}\:{x}=\mathrm{3}^{{t}} \:\mathrm{to}\:\mathrm{get}\:\mathrm{this}\:\mathrm{very}\:\mathrm{easily} \\ $$…
Question Number 128015 by Algoritm last updated on 03/Jan/21 Answered by MJS_new last updated on 03/Jan/21 $${x}=\sqrt[{\mathrm{8}}]{\mathrm{2}} \\ $$ Answered by MJS_new last updated on…
Question Number 62462 by naka3546 last updated on 21/Jun/19 Answered by MJS last updated on 21/Jun/19 $$\mathrm{let} \\ $$$${a}=\alpha−\sqrt{\beta} \\ $$$${b}=\alpha+\sqrt{\beta} \\ $$$${c}=\gamma−\sqrt{\delta} \\ $$$${d}=\gamma+\sqrt{\delta}…
Question Number 62399 by naka3546 last updated on 20/Jun/19 $${What}\:\:{the}\:\:{definition}\:\:{of}\:\:{Claim}\:,\:{Theorem}\:,\:\:{and}\:\:{Lemma}\:\:? \\ $$$${When}\:\:{can}\:\:{we}\:\:{use}\:\:{them}\:\:{respectively}\:\:{for}\:\:{getting}\:\:{proof}\left({s}\right)\:? \\ $$ Answered by alphaprime last updated on 20/Jun/19 $${Lemma}\:−\:{A}\:{proven}\:{statement}\:{used}\:{for}\: \\ $$$${proving}\:{another}\:{statement}\:.\:{It}\:{maybe}\:{like} \\…
Question Number 127931 by A8;15: last updated on 03/Jan/21 Commented by talminator2856791 last updated on 04/Jan/21 $$\: \\ $$$$\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{series}\:\mathrm{for}\:\mathrm{which}\:\mathrm{you}\:\mathrm{want}\:\mathrm{evaluate}? \\ $$ Commented by A8;15: last…
Question Number 127912 by PRITHWISH SEN 2 last updated on 03/Jan/21 $$\mathrm{Dividing}\:\mathrm{by}\:\mathrm{the}\:\mathrm{factor}\:\mathrm{of}\:\mathrm{divisor}\:\mathrm{find}\:\mathrm{the}\: \\ $$$$\mathrm{quotient}\:\mathrm{and}\:\mathrm{remainder}\:\mathrm{of}\:\:\mathrm{715}\boldsymbol{\div}\mathrm{12} \\ $$ Answered by physicstutes last updated on 03/Jan/21 $$\:\mathrm{715}\:=\:\mathrm{12}\left(\mathrm{59}\right)\:+\:\mathrm{7} \\…
Question Number 127897 by mathocean1 last updated on 02/Jan/21 $$ \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{if}\:\:\mathrm{p}\:\:\left(\mathrm{prime}\:\mathrm{integer}\right)\mathrm{divise}\: \\ $$$$\mathrm{a}^{{n}} \:\:\mathrm{then}\:\mathrm{p}\:\mathrm{divise}\:\mathrm{also}\:\mathrm{a}.\: \\ $$ Commented by JDamian last updated on 03/Jan/21 $${this}\:{question}\:{seems}\:{bizarre}\:{for}\:{me}\:{because}…