Question Number 136060 by mnjuly1970 last updated on 18/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:…{advanced}\:\:\:{calculus}…. \\ $$$$\:\:\:\:{evaluate}:: \\ $$$$\:\:\:\:\boldsymbol{\phi}=\mathrm{Im}\left(\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {li}_{\mathrm{2}} \left({sin}\left({x}\right)\right)+{li}_{\mathrm{2}} \left({csc}\left({x}\right)\right){dx}\right) \\ $$$$ \\ $$ Answered by mindispower…
Question Number 136063 by liberty last updated on 18/Mar/21 $$ \\ $$A and B can do a job in 10 days and 5 days, respectively.…
Question Number 70525 by Rasheed.Sindhi last updated on 05/Oct/19 $${If}\:{x},{y},{z}\:{is}\:{a}\:{primitive}\:{Pythagorean} \\ $$$${triple},{prove}\:{that}\:{x}+{y}\:{and}\:{x}−{y}\:{are} \\ $$$${congruent}\:{modulo}\:\mathrm{8}\:{to}\:{either}\:\mathrm{1}\:{or}\:\mathrm{7}. \\ $$ Answered by mind is power last updated on 07/Oct/19…
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Question Number 70518 by Shamim last updated on 05/Oct/19 $$\mathrm{If}\:\mathrm{a}^{\mathrm{3}} −\mathrm{b}^{\mathrm{3}} =\:\mathrm{513}\:\mathrm{and}\:\mathrm{ab}=\:\mathrm{54}\:\mathrm{then}\:\mathrm{find}\: \\ $$$$\mathrm{a}−\mathrm{b}=\:? \\ $$ Commented by Prithwish sen last updated on 05/Oct/19 $$\boldsymbol{\mathrm{use}}\:\:\:\left(\boldsymbol{\mathrm{a}}−\boldsymbol{\mathrm{b}}\right)^{\mathrm{3}}…
Question Number 70519 by TawaTawa last updated on 05/Oct/19 Commented by mr W last updated on 05/Oct/19 $${B}+{D}=\mathrm{180}° \\ $$$$\frac{{B}}{{D}}=\frac{\mathrm{2}}{\mathrm{3}} \\ $$$${B}+\frac{\mathrm{3}}{\mathrm{2}}{B}=\mathrm{180} \\ $$$$\frac{\mathrm{5}}{\mathrm{2}}{B}=\mathrm{180} \\…
Question Number 70516 by TawaTawa last updated on 05/Oct/19 Commented by TawaTawa last updated on 05/Oct/19 ABCD and DEFK are squares DK=6cm A(BEK)=? Answered by mr W last updated on 05/Oct/19…
Question Number 136054 by azadsir last updated on 18/Mar/21 Commented by mr W last updated on 18/Mar/21 $${a}=\mathrm{log}_{{x}} \:{xyz}=\frac{\mathrm{1}}{\mathrm{log}_{{xyz}} \:{x}} \\ $$$$\Rightarrow\frac{\mathrm{1}}{{a}}=\mathrm{log}_{{xyz}} \:{x} \\ $$$$\Rightarrow\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}=\mathrm{log}_{{xyz}}…
Question Number 70512 by abdusalamyussif@gmail.com last updated on 04/Oct/19 $$\mathrm{The}\:\mathrm{faculty}\:\mathrm{of}\:\mathrm{science}\:\mathrm{news}\:\mathrm{paper}\:\mathrm{reports}\:\mathrm{that}\:\mathrm{the}\:\mathrm{combined}\:\mathrm{membership}\:\mathrm{of}\:\mathrm{the}\:\:\mathrm{mathematics}\:\mathrm{club}\:\mathrm{and}\:\mathrm{science}\:\:\mathrm{club}\:\mathrm{is}\:\mathrm{122}\:\mathrm{students}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{total}\:\mathrm{membership}\:\mathrm{of}\:\mathrm{the}\:\mathrm{chemistry}\:\mathrm{club}? \\ $$ Commented by tw000001 last updated on 14/Oct/19 $$\mathrm{To}\:\mathrm{put}\:\mathrm{it}\:\mathrm{simply}, \\ $$$${n}\left({C}_{{M}} \:\cup{C}_{{S}} \right)=\mathrm{122} \\…
Question Number 70513 by naka3546 last updated on 05/Oct/19 Commented by naka3546 last updated on 05/Oct/19 $${x}\:=\:? \\ $$$${y}\:=\:? \\ $$$${without}\:\:{trigonometry}\:. \\ $$ Terms of…