Question Number 101645 by mathocean1 last updated on 03/Jul/20 $${E}\:{is}\:{a}\:{vectorial}\:{plane}\:{in}\:{B}=\left(\overset{\rightarrow} {{i}},\overset{\rightarrow} {{j}}\right) \\ $$$${base}.\:{f}\:{is}\:{an}\:{endomorphism}\:{of}\:{E}. \\ $$$${f}\left(\overset{\rightarrow} {{i}}\right)=\mathrm{4}\overset{\rightarrow} {{i}}−\overset{\rightarrow} {{j}}\:{and}\:{f}\left(\overset{\rightarrow} {{j}}\right)=\mathrm{2}\overset{\rightarrow} {{i}}+\overset{\rightarrow} {{j}}. \\ $$$$\overset{\rightarrow} {{u}}={x}\overset{\rightarrow}…
Question Number 101641 by M±th+et+s last updated on 03/Jul/20 $${hello}\:{every}\:{one} \\ $$$${for}\:{any}\:{user}\:{here}\:{please}\:{stop}\:{saying} \\ $$$$\left({please}\:{help}\:{me}\:{or}\:{who}\:{can}\:{help}\:{me}\:{or}\right. \\ $$$$\left.{who}\:{is}\:{intellegent}\:{or}…….\right) \\ $$$${just}\:{post}\:{your}\:{question}\:{and}\:{if}\:{we}\:{can} \\ $$$${help}\:{you}\:{we}\:{will}\:{do}. \\ $$$$ \\ $$ Commented…
Question Number 167179 by mathocean1 last updated on 08/Mar/22 $${Demonstrate}\:{that}\:\forall\:{x},\:{y}\:\in\:\mathbb{R}_{+} ^{\ast} ,\:\forall\:{q}\:\in\:\mathbb{Q}_{+} ^{\ast} \\ $$$${such}\:{that}\:{q}>{xy},\:\exists\:{a},{b}\:\in\:\mathbb{Q}\:{such}\: \\ $$$${that}\:{a}>{x},\:{b}>{y}\:{and}\:{ab}={q}. \\ $$ Answered by mindispower last updated on…
Question Number 36103 by mondodotto@gmail.com last updated on 28/May/18 $$\boldsymbol{\mathrm{convert}}\:\mathrm{0}.\mathrm{26999999}…\boldsymbol{\mathrm{into}}\:\boldsymbol{\mathrm{fraction}}\: \\ $$$$\frac{\boldsymbol{\mathrm{a}}}{\boldsymbol{\mathrm{b}}}\:\boldsymbol{\mathrm{where}}\:\boldsymbol{\mathrm{a}}\neq\mathrm{0} \\ $$ Answered by MJS last updated on 28/May/18 $$=\frac{\mathrm{26}}{\mathrm{100}}+\frac{\mathrm{9}}{\mathrm{900}}=\frac{\mathrm{27}}{\mathrm{100}} \\ $$ Commented…
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Question Number 167145 by mkam last updated on 07/Mar/22 $$\int\:\frac{{dx}}{{x}^{\mathrm{2}} −\mathrm{3}\sqrt{{x}}+\mathrm{10}} \\ $$ Commented by MJS_new last updated on 07/Mar/22 $$\mathrm{1}^{\mathrm{st}} \:\mathrm{step}\:{t}=\sqrt{{x}}\:\rightarrow\:{dx}=\mathrm{2}{tdt}\:\Rightarrow \\ $$$$\mathrm{2}\int\frac{{t}}{{t}^{\mathrm{4}} −\mathrm{3}{t}+\mathrm{10}}{dt}…
Question Number 167144 by mathocean1 last updated on 07/Mar/22 $${Calculate}\: \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\:\frac{{sin}\left(\mathrm{1}\right)}{{cos}\left({k}\right){cos}\left({k}−\mathrm{1}\right)} \\ $$ Answered by mathsmine last updated on 07/Mar/22 $${sin}\left(\mathrm{1}\right)={sin}\left({k}−\left(\boldsymbol{{k}}−\mathrm{1}\right)\right)=\boldsymbol{{sin}}\left(\boldsymbol{{k}}\right)\boldsymbol{{cos}}\left(\boldsymbol{{k}}−\mathrm{1}\right)−{sin}\left({k}−\mathrm{1}\right){cos}\left({k}\right) \\…
Question Number 167126 by MathsFan last updated on 07/Mar/22 $$ \\ $$Assuming one of the WiFi towers of a building is 20km high, and has…
Question Number 167120 by DAVONG last updated on 07/Mar/22 Answered by TheSupreme last updated on 07/Mar/22 $$\frac{{sin}\left(\frac{\pi}{\mathrm{2}}\left(\mathrm{1}−{cos}\left({x}\right)\right)\right)}{\mathrm{1}−{cos}\left({x}\right)}=\frac{\pi}{\mathrm{2}}\frac{\mathrm{1}−{cos}\left({x}\right)}{\mathrm{1}−{cos}\left({x}\right)}=\frac{\pi}{\mathrm{2}} \\ $$ Answered by Mathspace last updated on…