Question Number 9086 by tawakalitu last updated on 17/Nov/16 $$\mathrm{Prove}\:\mathrm{the}\:\mathrm{limit}.,\:\:\:\frac{\mathrm{sin}\left(\theta/\mathrm{2}\right)}{\left(\theta/\mathrm{2}\right)}\:=\:\mathrm{1} \\ $$ Commented by 123456 last updated on 17/Nov/16 $$\underset{\theta\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}\:\theta/\mathrm{2}}{\theta/\mathrm{2}}=\underset{\alpha\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}\:\alpha}{\alpha} \\ $$$$\alpha=\theta/\mathrm{2} \\…
Question Number 74620 by aliesam last updated on 27/Nov/19 Answered by mind is power last updated on 27/Nov/19 $$\mathrm{tchek}\:\mathrm{it}\:\mathrm{sir} \\ $$$$\mathrm{ther}\:\mathrm{is}\:\mathrm{somme} \\ $$$$\mathrm{problems}\:\:\:\:\mathrm{ln}\left(\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}{\mid\mathrm{cos}\left(\mathrm{x}\right)\mid}\right) \\…
Question Number 9085 by tawakalitu last updated on 17/Nov/16 Answered by mrW last updated on 17/Nov/16 $${x}^{\mathrm{2}} +\left(\mathrm{2}\frac{\mathrm{1}}{\mathrm{8}}−{x}\right)^{\mathrm{2}} =\left(\mathrm{1}\frac{\mathrm{5}}{\mathrm{8}}\right)^{\mathrm{2}} \\ $$$${x}^{\mathrm{2}} +\left(\frac{\mathrm{17}}{\mathrm{8}}−{x}\right)^{\mathrm{2}} −\left(\frac{\mathrm{13}}{\mathrm{8}}\right)^{\mathrm{2}} =\mathrm{0} \\…
Question Number 74621 by aliesam last updated on 27/Nov/19 Commented by mathmax by abdo last updated on 28/Nov/19 $${changement}\:{x}={a}\:{sh}\left({t}\right)\:\Rightarrow\int\sqrt{{x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} }{dx}\:=\int\:{ach}\left({t}\right){a}\:{cht}\:{dt} \\ $$$$={a}^{\mathrm{2}} \:\int\:{ch}^{\mathrm{2}} \left({t}\right){dt}\:=\frac{{a}^{\mathrm{2}}…
Question Number 140153 by dhgt last updated on 04/May/21 $${Q}\mathrm{135930} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74617 by Raxreedoroid last updated on 27/Nov/19 $$\mathrm{Expand} \\ $$$$\mathrm{1}+\underset{{k}=\mathrm{1}} {\overset{{n}−\mathrm{1}} {\sum}}\left[\mid\frac{\mathrm{2}\sqrt{\mathrm{3}}}{\mathrm{3}}{sin}\left(\mathrm{120}{x}\right)\mid+\mathrm{2}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 9080 by sandipkd@ last updated on 17/Nov/16 Commented by sandipkd@ last updated on 17/Nov/16 $${sorry}\:{i}\:{forget}\:{to}\:{write}\:{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 74614 by chess1 last updated on 27/Nov/19 Answered by mind is power last updated on 27/Nov/19 $$\mathrm{we}\:\mathrm{can}\:\mathrm{extend}\:\mathrm{without} \\ $$$$\mathrm{and}\:\mathrm{U}_{\mathrm{i}+\mathrm{n}} =\mathrm{a}_{\mathrm{i}} ,\forall\mathrm{i}\in\left[\mathrm{1},\mathrm{n}\right] \\ $$$$\mathrm{U}_{\mathrm{i}}…
Question Number 140148 by aliibrahim1 last updated on 04/May/21 Answered by EDWIN88 last updated on 04/May/21 $$\left(\ast\right)\mathrm{vol}\:=\:\pi\underset{\mathrm{1}} {\overset{\mathrm{4}} {\int}}\:\mathrm{x}^{\mathrm{2}} \:\mathrm{dy}\:=\:\pi\left(\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}^{\mathrm{2}} \right)_{\mathrm{1}} ^{\mathrm{4}} =\:\frac{\mathrm{15}\pi}{\mathrm{2}} \\ $$$$\left(\ast\ast\right)\mathrm{vol}\:=\:\mathrm{2}\pi\underset{\mathrm{1}}…
Question Number 74615 by chess1 last updated on 27/Nov/19 Answered by mind is power last updated on 27/Nov/19 $$\mathrm{a}=\mathrm{8}−\mathrm{b} \\ $$$$\left(\mathrm{2}\right)\Leftrightarrow\left(\mathrm{8}−\mathrm{b}\right)^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} +\mathrm{c}^{\mathrm{2}} =\mathrm{32} \\…