Question Number 76306 by Hassen_Timol last updated on 26/Dec/19 $${z}\:=\:{a}\:+\:{bi} \\ $$$${Z}\:=\:\frac{−\mathrm{7}\:+\:{z}}{−\mathrm{3}\:+\:{iz}} \\ $$$$ \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{all}\:\mathrm{the}\:\mathrm{points}\:\mathrm{M} \\ $$$$\mathrm{of}\:\mathrm{coordonates}\:\left({a},{b}\right)\:\mathrm{such}\:\mathrm{as}\:{Z}\:\mathrm{is}\:\mathrm{real}\:? \\ $$ Answered by mr W last…
Question Number 141840 by Study last updated on 23/May/21 $${sin}^{\mathrm{2}} \left(\mathrm{360}−{x}\right)−\frac{{cos}\left({x}−\mathrm{180}\right)\centerdot{tan}\left(−{x}\right)\centerdot{sin}\left(\mathrm{90}−{x}\right)\centerdot{cos}\left(\mathrm{360}−{x}\right)}{{sin}\left(\mathrm{180}−{x}\right)}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76303 by arkanmath7@gmail.com last updated on 26/Dec/19 $${In}\:{the}\:{symmetric}\:{group}\:\left({S}_{{n}} \:,\:{o}\right),\:{let} \\ $$$${H}\:{denotes}\:{the}\:{set}\:{of}\:{permutations}\: \\ $$$${leaving}\:{the}\:{integer}\:{n}\:{fixed}: \\ $$$$\:\:\:{H}\:=\:\left\{{f}\in{S}_{{n}} \:\mid\:{f}\left({n}\right)\:=\:{n}\right\} \\ $$$${Show}\:{that}\:{the}\:{pair}\:\left({H},\:{o}\right)\:{is}\:{subgroup} \\ $$$${of}\:\left({S}_{{n}} ,{o}\right). \\ $$$$'{note}:\:{the}\:{operation}\:{is}\:{composition}'…
Question Number 141825 by Rankut last updated on 23/May/21 $$\boldsymbol{\mathrm{If}}\:\:\boldsymbol{\mathrm{P}}=\left(\mathrm{3}\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{3}} ,\:\boldsymbol{\mathrm{when}}\:\boldsymbol{\mathrm{x}}=\mathrm{2},\:\boldsymbol{\mathrm{it}}\:\boldsymbol{\mathrm{is}} \\ $$$$\boldsymbol{\mathrm{decreased}}\:\boldsymbol{\mathrm{by}}\:\mathrm{3\%}.\:\boldsymbol{\mathrm{Find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{approximate}} \\ $$$$\boldsymbol{\mathrm{percentage}}\:\boldsymbol{\mathrm{change}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{P}}. \\ $$$$\boldsymbol{\mathrm{Help}}\:\boldsymbol{\mathrm{me}}\:\boldsymbol{\mathrm{out}}\:\boldsymbol{\mathrm{pls}} \\ $$ Terms of Service Privacy Policy…
Question Number 141826 by Rankut last updated on 23/May/21 $${If}\:\:{y}={sin}^{\mathrm{2}} \theta,\:{x}={cot}\theta,\:{find}\:\:\frac{{dy}}{{dx}}. \\ $$$${Any}\:{suggestion}\:{please}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76288 by benjo last updated on 26/Dec/19 $$\mathrm{what}\:\mathrm{is}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{if}\:\mathrm{f}\left(\mathrm{3}\right)=\mathrm{10},\:\mathrm{f}\left(\mathrm{2}\right)=\mathrm{14} \\ $$$$\mathrm{f}\left(\mathrm{1}\right)=\mathrm{20}\:? \\ $$ Commented by MJS last updated on 26/Dec/19 $$\mathrm{if}\:\mathrm{we}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}\:\mathrm{the}\:\mathrm{type}\:\mathrm{of}\:{f}\left({x}\right)\:\mathrm{there}'\mathrm{s} \\ $$$$\mathrm{zillions}\:\mathrm{of}\:\mathrm{possibilities}… \\…
Question Number 76272 by Maclaurin Stickker last updated on 25/Dec/19 $${Find}\:{the}\:{area}\:{S}\:{of}\:{a}\:{triangle}\:{ABC} \\ $$$${as}\:{a}\:{function}\:{of}\:{the}\:{heights} \\ $$$${h}_{{a}} ,\:{h}_{{b}} \:{and}\:{h}_{{c}} . \\ $$ Commented by mr W last…
Question Number 141805 by mohammad17 last updated on 23/May/21 $$\int\frac{{dx}}{\mathrm{1}−{tanx}} \\ $$ Answered by MJS_new last updated on 23/May/21 $$\int\frac{{dx}}{\mathrm{1}−\mathrm{tan}\:{x}}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{tan}\:{x}\:\rightarrow\:{dx}=\frac{{dt}}{{t}^{\mathrm{2}} +\mathrm{1}}\right] \\ $$$$=\int\frac{{dt}}{\left(\mathrm{1}−{t}\right)\left({t}^{\mathrm{2}}…
Question Number 141785 by 7770 last updated on 23/May/21 $$\boldsymbol{\mathrm{If}}\:\:\boldsymbol{\mathrm{x}}=\boldsymbol{\mathrm{asin}}\mathrm{2}\boldsymbol{\mathrm{t}}+\boldsymbol{\mathrm{bcos}}\mathrm{2}\boldsymbol{\mathrm{t}},\boldsymbol{\mathrm{prove}}\:\boldsymbol{\mathrm{that}}\: \\ $$$$\frac{\boldsymbol{\mathrm{dx}}}{\boldsymbol{\mathrm{dt}}}=\mathrm{2}\sqrt{\boldsymbol{\mathrm{a}}^{\mathrm{2}} +\boldsymbol{\mathrm{b}}^{\mathrm{2}} −\boldsymbol{\mathrm{x}}^{\mathrm{2}} } \\ $$$$\boldsymbol{\mathrm{Solution}}…. \\ $$ Answered by iloveisrael last updated on…
Question Number 76248 by john santuy last updated on 25/Dec/19 $$\overset{{lim}} {{x}}\rightarrow\overset{\:\:\:\:\left(\frac{{sin}\mathrm{3}{x}}{\mathrm{2}{x}}\right)^{\frac{\mathrm{2}}{\mathrm{5}{x}+\mathrm{1}}} } {\mathrm{0}}=\:?\:\: \\ $$ Commented by Mikael_786 last updated on 25/Dec/19 $$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{{sin}\mathrm{3}{x}}{\mathrm{2}{x}}=\underset{{x}\rightarrow\mathrm{0}}…