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Question Number 33897 by math khazana by abdo last updated on 26/Apr/18 $${let}\:{consider}\:\psi\left({x}\right)=\frac{\Gamma^{'} \left({x}\right)}{\Gamma\left({x}\right)} \\ $$$$\left.\mathrm{1}\right)\:{prove}\:{that}\:\forall\:{a}>\mathrm{0}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \psi\left({a}+{x}\right){dx}={ln}\left({a}\right) \\ $$$$\left.\mathrm{2}\right)\:{prove}\:{that}\:\forall\:{n}\in\:{N}^{\bigstar} \:\int_{\mathrm{0}} ^{\mathrm{1}} \:\psi\left({x}\right){sin}\left(\mathrm{2}\pi{nx}\right){dx}=−\frac{\pi}{\mathrm{2}} \\ $$…

Question-33800

Question Number 33800 by tawa tawa last updated on 25/Apr/18 Answered by ajfour last updated on 25/Apr/18 $${I}_{\mathrm{3}} ={I}_{{cell}} =\frac{\mathrm{6}{V}}{\left(\frac{\mathrm{5}×\mathrm{4}}{\mathrm{5}+\mathrm{4}}+\mathrm{3}+\mathrm{0}.\mathrm{5}\right)} \\ $$$$\:\:\:\:=\frac{\mathrm{6}}{\mathrm{5}.\mathrm{72}}\:\approx\:\mathrm{1}.\mathrm{05}{A} \\ $$$${I}_{\mathrm{5}} =\frac{\mathrm{4}}{\mathrm{9}}×\mathrm{1}.\mathrm{05}\:=\:\mathrm{0}.\mathrm{47}{A}…

Find-the-value-of-1-2-1-3-1-4-1-5-1-6-1-7-

Question Number 99314 by Dwaipayan Shikari last updated on 20/Jun/20 $${Find}\left[\right]{the}\left[\right]{value}\left[\right]{of} \\ $$$$\sqrt{\mathrm{1}+\mathrm{2}\sqrt{\mathrm{1}+\mathrm{3}\sqrt{\mathrm{1}+\mathrm{4}\sqrt{\mathrm{1}+\mathrm{5}\sqrt{\mathrm{1}+\mathrm{6}\sqrt{\mathrm{1}+\mathrm{7}}}}}}}….\infty \\ $$ Commented by mr W last updated on 20/Jun/20 Commented by…

Question-33753

Question Number 33753 by 255ketto last updated on 23/Apr/18 Answered by MJS last updated on 23/Apr/18 $$\mathrm{now} \\ $$$$\mathrm{child}'\mathrm{s}\:\mathrm{age}\:{x} \\ $$$$\mathrm{mother}'\mathrm{s}\:\mathrm{age}\:\mathrm{4}{x} \\ $$$$\mathrm{five}\:\mathrm{years}\:\mathrm{ago} \\ $$$$\mathrm{child}'\mathrm{s}\:\mathrm{age}\:{x}−\mathrm{5}…

Question-164709

Question Number 164709 by Tawa11 last updated on 20/Jan/22 Answered by Tawa11 last updated on 20/Jan/22 $$\mathrm{Am}\:\mathrm{getting}\:\:\mathrm{14}.\mathrm{28}\:\:\mathrm{but}\:\mathrm{answer}\:\mathrm{at}\:\mathrm{the}\:\mathrm{back}\:\mathrm{is}\:\:\:\mathrm{12}.\mathrm{7}\:\:\:\:\mathrm{please}\:\mathrm{help}. \\ $$ Commented by mr W last updated…

simplify-3-2-2-

Question Number 33575 by MURALI last updated on 19/Apr/18 $$\mathrm{simplify}\:\sqrt{\left(\mathrm{3}+\mathrm{2}\sqrt{\left.\mathrm{2}\right)}\right.} \\ $$ Answered by Rasheed.Sindhi last updated on 19/Apr/18 $$\mathrm{Let}\:\sqrt{\left(\mathrm{3}+\mathrm{2}\sqrt{\left.\mathrm{2}\right)}\right.}\:\:=\mathrm{a}+\mathrm{b}\sqrt{\mathrm{2}} \\ $$$$\mathrm{where}\:\mathrm{a},\mathrm{b}\:\in\mathbb{Z} \\ $$$$\:\:\:\left(\:\sqrt{\left(\mathrm{3}+\mathrm{2}\sqrt{\left.\mathrm{2}\right)}\right.}\:\right)^{\mathrm{2}} =\left(\mathrm{a}+\mathrm{b}\sqrt{\mathrm{2}}\:\right)^{\mathrm{2}}…

Hello-verry-nice-day-for-all-of-you-god-bless-You-pleas-Can-you-use-black-Color-shen-You-post-Quation-or-Give-answer-is-verry-hard-to-read-withe-other-colors-

Question Number 99097 by maths mind last updated on 18/Jun/20 $${Hello}\: \\ $$$${verry}\:{nice}\:{day}\:{for}\:{all}\:{of}\:{you}\:{god}\:{bless}\:{You} \\ $$$${pleas}\:{Can}\:{you}\:{use}\:{black}\:{Color}\:{shen}\:{You}\:{post}\:{Quation}\: \\ $$$${or}\:{Give}\:{answer}\:{is}\:{verry}\:{hard}\:{to}\:{read}\:{withe}\:{other}\:{colors} \\ $$ Commented by mr W last updated…