Question Number 152892 by mathdanisur last updated on 02/Sep/21 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{system}\:\mathrm{of}\:\mathrm{equations}: \\ $$$$\begin{cases}{\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{yz}\:=\:\mathrm{3}}\\{\mathrm{y}^{\mathrm{2}} \:-\:\mathrm{xz}\:=\:\mathrm{1}}\\{\mathrm{z}^{\mathrm{2}} \:-\:\mathrm{xy}\:=\:-\:\mathrm{1}}\end{cases} \\ $$ Commented by MJS_new last updated on…
Question Number 152889 by SANOGO last updated on 02/Sep/21 $$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{k}^{\alpha} }{\left({n}+\mathrm{1}\right)^{\alpha} \:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\mathrm{1}+{n}\alpha\right)}=\frac{\mathrm{1}}{\mathrm{6}{o}}\: \\ $$$$\alpha=? \\ $$$$\alpha=?{q} \\ $$ Commented…
Question Number 21819 by Tinkutara last updated on 10/Oct/17 $$\mathrm{Consider}\:\mathrm{the}\:\mathrm{situation}\:\mathrm{shown}\:\mathrm{in}\:\mathrm{figure} \\ $$$$\mathrm{in}\:\mathrm{which}\:\mathrm{a}\:\mathrm{block}\:{P}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{2}\:\mathrm{kg}\:\mathrm{is}\:\mathrm{placed} \\ $$$$\mathrm{over}\:\mathrm{a}\:\mathrm{block}\:{Q}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{4}\:\mathrm{kg}.\:\mathrm{The} \\ $$$$\mathrm{combination}\:\mathrm{of}\:\mathrm{the}\:\mathrm{blocks}\:\mathrm{are}\:\mathrm{placed}\:\mathrm{on} \\ $$$$\mathrm{inclined}\:\mathrm{plane}\:\mathrm{of}\:\mathrm{inclination}\:\mathrm{37}°\:\mathrm{with} \\ $$$$\mathrm{horizontal}.\:\mathrm{The}\:\mathrm{coefficient}\:\mathrm{of}\:\mathrm{friction} \\ $$$$\mathrm{between}\:\mathrm{Block}\:{Q}\:\mathrm{and}\:\mathrm{inclined}\:\mathrm{plane}\:\mathrm{is} \\ $$$$\mu_{\mathrm{2}} \:\mathrm{and}\:\mathrm{in}\:\mathrm{between}\:\mathrm{the}\:\mathrm{two}\:\mathrm{blocks}\:\mathrm{is}\:\mu_{\mathrm{1}}…
Question Number 87352 by jagoll last updated on 04/Apr/20 $$\mathrm{f}\left(\mathrm{x}\right)=\:\mathrm{f}\left(\mathrm{x}+\mathrm{1}\right)\:−\mathrm{x} \\ $$$$\mathrm{f}\left(\mathrm{0}\right)=\:\mathrm{123} \\ $$$$\mathrm{f}\left(\mathrm{29}\right)\:=? \\ $$ Commented by jagoll last updated on 04/Apr/20 $$\mathrm{x}=\mathrm{0}\:\Rightarrow\:\mathrm{123}=\mathrm{f}\left(\mathrm{1}\right)−\mathrm{0} \\…
Question Number 21815 by gopikrishnan005@gmail.com last updated on 04/Oct/17 $${sin}\mathrm{18}^{\mathrm{0}} = \\ $$ Commented by Tinkutara last updated on 04/Oct/17 $$\frac{\sqrt{\mathrm{5}}−\mathrm{1}}{\mathrm{4}} \\ $$ Commented by…
Question Number 152887 by otchereabdullai@gmail.com last updated on 02/Sep/21 $$\int_{\mathrm{1}} ^{\:\mathrm{2}} \:\:\frac{\mathrm{3}}{\:\sqrt{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{3}} }} \\ $$ Answered by Ar Brandon last updated on 02/Sep/21 $${I}=\int_{\mathrm{1}}…
Question Number 21813 by lakshmi.narasimhan last updated on 04/Oct/17 $${x}_{\mathrm{1}} +{x}_{\mathrm{2}} +{x}_{\mathrm{3}} =\mathrm{5} \\ $$$${ways}=\mathrm{5}−\mathrm{1}{C}_{\mathrm{3}−\mathrm{1}} =\mathrm{4}{C}_{\mathrm{2}} =\mathrm{6} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 152881 by mathdanisur last updated on 02/Sep/21 $$\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\mathrm{Li}_{\mathrm{2}} \:\left(\frac{\mathrm{x}}{\mathrm{1}\:-\:\mathrm{x}}\right)\:\mathrm{log}\left(\mathrm{x}\right)\:\mathrm{log}\left(\mathrm{1}\:-\:\mathrm{x}\right)\:\mathrm{dx}\:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 21811 by drbl.gnbd last updated on 04/Oct/17 $${a}_{\mathrm{1}} =\mathrm{1},\:{a}_{{n}+\mathrm{1}} =\frac{{a}_{{n}} }{\:\sqrt{{a}_{{n}} +{n}+\mathrm{1}}} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{a}_{{n}} =? \\ $$ Commented by Ranjiy kumar…
Question Number 21810 by j.masanja06@gmail.com last updated on 04/Oct/17 $${integrate} \\ $$$$\int\frac{{x}^{\mathrm{2}} }{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dx} \\ $$ Answered by sma3l2996 last updated on 04/Oct/17 $${x}={sint}\Rightarrow{dx}={costdt}=\sqrt{\mathrm{1}−{sin}^{\mathrm{2}} {t}}{dt}…