Question Number 130041 by liberty last updated on 22/Jan/21 $$\mathrm{Given}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{are}\:\mathrm{the}\:\mathrm{solution} \\ $$$$\mathrm{of}\:\mathrm{equation}\:{a}\:\mathrm{tan}\:{x}\:+\:{b}\:\mathrm{sec}\:{x}\:=\:{c}\: \\ $$$${find}\:\mathrm{tan}\:\left({A}+\mathrm{B}\right). \\ $$ Answered by nueron last updated on 22/Jan/21 Commented by…
Question Number 130036 by liberty last updated on 22/Jan/21 $$\mathrm{If}\:\begin{cases}{{a}+{b}+{c}\:=\:\mathrm{1}}\\{{a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} \:=\:\mathrm{4}}\end{cases} \\ $$$$\:\mathrm{find}\:\frac{\mathrm{1}}{{a}+{bc}}\:+\:\frac{\mathrm{1}}{{b}+{ca}}\:+\:\frac{\mathrm{1}}{{c}+{ab}}. \\ $$ Answered by mnjuly1970 last updated on 22/Jan/21 $${solution}:\:\left\{_{{a}^{\mathrm{3}}…
Question Number 130034 by EDWIN88 last updated on 22/Jan/21 $$\mathrm{How}\:\mathrm{many}\:\mathrm{integers}\:\mathrm{between}\:\mathrm{999}\:\mathrm{and}\:\mathrm{4000} \\ $$$$\left(\mathrm{both}\:\mathrm{are}\:\mathrm{included}\right)\:\mathrm{can}\:\mathrm{be}\:\mathrm{formed}\:\mathrm{using} \\ $$$$\mathrm{digits}\:\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4}\:\mathrm{if}\:\mathrm{repetition}\:\mathrm{of}\:\mathrm{digits}\:\mathrm{is} \\ $$$$\mathrm{allowed}?\: \\ $$ Answered by liberty last updated on 22/Jan/21…
Question Number 64498 by slotto last updated on 18/Jul/19 $$\mathrm{please},\:\mathrm{anyone}\:\mathrm{help}\:\mathrm{me}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{this} \\ $$$$\mathrm{i}.\:\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\mathrm{cos}\left(\frac{\mathrm{k}^{\mathrm{2}} \pi}{\mathrm{n}}\right) \\ $$$$\mathrm{ii}.\:\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\Sigma}}\mathrm{sin}\left(\frac{\mathrm{k}^{\mathrm{2}} \pi}{\mathrm{n}}\right) \\ $$$$\mathrm{thank}\:\mathrm{you}. \\ $$ Terms…
Question Number 130029 by mathmax by abdo last updated on 22/Jan/21 $$\left.\mathrm{1}\right)\:\mathrm{decompose}\:\mathrm{F}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4}\right)^{\mathrm{3}} \left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\int_{\mathrm{3}} ^{\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4}\right)^{\mathrm{3}} \left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} } \\…
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Question Number 130019 by I want to learn more last updated on 21/Jan/21 $$\mathrm{How}\:\mathrm{many}\:\mathrm{4}\:\mathrm{letters}\:\mathrm{word}\:\mathrm{can}\:\mathrm{be}\:\mathrm{formed}\:\mathrm{from}\:\:\:\:\mathrm{COMMUNICATION} \\ $$ Answered by mr W last updated on 22/Jan/21 $$\mathrm{2}×{C}…
Question Number 64478 by necx1 last updated on 18/Jul/19 Commented by necx1 last updated on 18/Jul/19 $${please}\:{help}\:{me}\:{analyse}\:{this}\:{free}\:{body} \\ $$$${diagram}.\:{I}'{ll}\:{be}\:{grateful}\:{sirs}. \\ $$ Commented by necx1 last…
Question Number 64477 by Chi Mes Try last updated on 18/Jul/19 $${pls}\:\:{i}\:{need}\:{it}\:{urgently}…\:{am}\:{stuck} \\ $$$${workings}\:{please} \\ $$$$\left(\mathrm{1}\right)\:\:\int{Ln}\left(\mathrm{1}−{Lnx}\right){dx} \\ $$$$ \\ $$$$\left(\mathrm{2}\right)\:\:\int\frac{\mathrm{1}}{{Lnx}}{dx} \\ $$$$ \\ $$$$\left(\mathrm{3}\right)\int\:{Ln}\left(−\mathrm{2}{Lnx}\right){dx} \\…
Question Number 64475 by aliesam last updated on 18/Jul/19 $${solve}\:{the}\:{equation} \\ $$$${sin}\left({x}\right)+{sin}\left(\mathrm{2}{x}\right)+{sin}\left(\mathrm{3}{x}\right)={cos}\left({x}\right)+{cos}\left(\mathrm{2}{x}\right)+{cos}\left(\mathrm{3}{x}\right) \\ $$ Commented by mathmax by abdo last updated on 18/Jul/19 $${let}\:{u}_{{n}} =\sum_{{k}=\mathrm{0}}…