Question Number 203891 by York12 last updated on 02/Feb/24 $$ \\ $$ Answered by sniper237 last updated on 01/Feb/24 $${The}\:{last}\:{factor}\:{should}\:{be}\:\left(\frac{{c}}{{a}+{b}}+\frac{{a}}{{b}+{c}}\right) \\ $$$${If}\:\:{so}\:,\:{Let}\:{named}\:{P}\:{that}\:{product} \\ $$$${Divide}\:{each}\:{factor}\:{by}\:{c},{a},{b}\:{resp} \\…
Question Number 203909 by Davidtim last updated on 01/Feb/24 $${prove}\:{that}\:\:\:\mathrm{0}^{{n}} =\mathrm{0}\:\:\:,\:\:\:\:{n}>\mathrm{0} \\ $$ Answered by Mathspace last updated on 01/Feb/24 $$\mathrm{0}^{{n}} ={lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:{x}^{{n}} \\…
Question Number 203910 by Davidtim last updated on 01/Feb/24 $${if}\:\:\:{y}=\left(\mathrm{1}−{x}\right)\left(\mathrm{2}−{x}\right)\left(\mathrm{3}−{x}\right)\centerdot\centerdot\centerdot\left({n}−{x}\right) \\ $$$${y}^{'} =? \\ $$ Answered by mr W last updated on 01/Feb/24 $${y}=\underset{{k}=\mathrm{1}} {\overset{{n}}…
Question Number 203911 by Davidtim last updated on 01/Feb/24 $${if}\:\mathrm{11}^{\mathrm{800}} \:{divide}\:{by}\:\mathrm{9}\:{what}\:{will}\:{be}\:{the}\: \\ $$$${remainder}? \\ $$ Answered by AST last updated on 01/Feb/24 $$\mathrm{11}^{\mathrm{800}} \equiv\mathrm{2}^{\mathrm{800}} =\left(\mathrm{2}^{\mathrm{6}}…
Question Number 203905 by sniper237 last updated on 01/Feb/24 $${let}\:{ABC}\:{a}\:{given}\:{triangle}.\:{Can}\:{we}\:{find} \\ $$$${three}\:{positions}\:{I},{J},{K}\:{on}\:{the}\:{side}\:{AB},{AC},{BC} \\ $$$${Such}\:{that}\:{IJK}\:{is}\:{equilateral}? \\ $$ Commented by mr W last updated on 01/Feb/24 $${yes},\:{we}\:{can}\:{find}\:{infinite}\:{many}\:{such}…
Question Number 203884 by Mathspace last updated on 31/Jan/24 $${find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{x}^{\mathrm{3}} }{\left(\mathrm{1}+{x}\right)^{\mathrm{4}} \left({x}+\mathrm{2}\right)^{\mathrm{5}} }{dx} \\ $$ Answered by Frix last updated on 01/Feb/24 $$\mathrm{Use}\:\mathrm{Ostrogradski}'\mathrm{s}\:\mathrm{Method}\:\mathrm{to}\:\mathrm{get}…
Question Number 203881 by mr W last updated on 31/Jan/24 Commented by mr W last updated on 31/Jan/24 $${find}\:{the}\:{hatched}\:{area}\:{between}\:{curve} \\ $$$${and}\:{its}\:{tangent}\:{line}. \\ $$ Answered by…
Question Number 203877 by Spillover last updated on 31/Jan/24 $$\mathrm{Write}\:\mathrm{a}\:\mathrm{balanced}\:\mathrm{Ionic}\:\mathrm{chemical}\:\mathrm{equation} \\ $$$$\:\mathrm{for}\:\mathrm{the}\:\mathrm{following}\:\mathrm{reaction} \\ $$$$\left(\mathrm{a}\right){HCl}+{C}\mathrm{aCO}_{\mathrm{3}} \rightarrow\mathrm{Ca}{Cl}_{\mathrm{2}} +{C}\mathrm{O}_{\mathrm{2}\left(\mathrm{g}\right)} +\mathrm{H}_{\mathrm{2}} \mathrm{O}_{\left({l}\right)} \\ $$$$\left({b}\right){NH}_{\mathrm{4}} {OH}_{\:\left({aq}\right)} +{HCl}_{\left({aq}\right)} \:\rightarrow{NH}_{\mathrm{4}} \mathrm{C}{l}_{\left({aq}\right)} +{H}_{\mathrm{2}}…
Question Number 203878 by Spillover last updated on 31/Jan/24 $$\mathrm{A}\:\mathrm{compound}\:\mathrm{M}\:\mathrm{is}\:\mathrm{composed}\:\mathrm{of}\:\mathrm{52}.\mathrm{2\%}\: \\ $$$$\mathrm{carbon}\:,\mathrm{13\%}\:\mathrm{hydrogenand}\:\mathrm{the}\:\mathrm{rest}\: \\ $$$$\mathrm{is}\:\mathrm{oxygen}.\mathrm{if}\:\mathrm{the}\:\mathrm{molecuar}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{M}\:\mathrm{is}\:\mathrm{138} \\ $$$$\left(\mathrm{a}\right)\mathrm{The}\:\mathrm{empirical}\:\mathrm{formular} \\ $$$$\left(\mathrm{b}\right)\mathrm{The}\:\mathrm{molecular}\:\mathrm{formular} \\ $$$$\mathrm{31}/\mathrm{1}/\mathrm{2024} \\ $$ Answered by Calculusboy…
Question Number 203879 by Spillover last updated on 31/Jan/24 $$\mathrm{Complete}\:\mathrm{and}\:\mathrm{balance}\:\mathrm{the}\:\mathrm{following}\:\mathrm{chemical}\:\mathrm{reaction}\: \\ $$$$\mathrm{equation} \\ $$$$\left(\mathrm{a}\right)\mathrm{Ca}\:+\:\mathrm{H}_{\mathrm{2}} \mathrm{O}\:\:\rightarrow\:\: \\ $$$$\left(\mathrm{b}\right)\mathrm{BaC}{l}\:+\:\mathrm{H}_{\mathrm{2}} \mathrm{SO}_{\mathrm{4}} \:\:\rightarrow \\ $$$$\left(\mathrm{c}\right)\mathrm{CuSO}_{\mathrm{4}} .\mathrm{5H}_{\mathrm{2}} \mathrm{O}\:\:\:\overset{\mathrm{Heat}\:\mathrm{strongly}} {\rightarrow} \\…