Question Number 205134 by universe last updated on 09/Mar/24 Answered by pi314 last updated on 09/Mar/24 $${nx}={y} \\ $$$$\Leftrightarrow{A}=\underset{{n}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{{n}} \frac{{f}\left(\frac{{y}}{{n}}\right)}{\left(\mathrm{1}+{y}^{\mathrm{2}} \right)}{dy}=\underset{{n}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{{n}}…
Question Number 205135 by mr W last updated on 09/Mar/24 Commented by mr W last updated on 09/Mar/24 $${ABCD}\:{is}\:{square}. \\ $$$${find}\:\frac{{red}\:{area}}{{blue}\:{area}}=? \\ $$ Answered by…
Question Number 205130 by Ari last updated on 09/Mar/24 Commented by Ari last updated on 09/Mar/24 $${x}=? \\ $$ Answered by A5T last updated on…
Question Number 205114 by 2kdw last updated on 09/Mar/24 $${Solve}: \\ $$$$ \\ $$$$\:\:{lim}_{\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)} \frac{\mathrm{1}−{cos}\left(\sqrt{\mathrm{10}{xy}}\right)}{\mathrm{3}.{y}.{sin}\left(\mathrm{22}{x}\right)} \\ $$$$ \\ $$$${Ans}.:\:\frac{\mathrm{5}}{\mathrm{66}} \\ $$$${Step}\:{by}\:{step},\:{please}! \\ $$ Answered by…
Question Number 205101 by universe last updated on 08/Mar/24 $$\:\:\mathrm{given}\:\mathrm{that}\:\mathrm{there}\:\mathrm{are}\:\mathrm{real}\:\mathrm{constant}\:\mathrm{a},\mathrm{b},\:\mathrm{c},\:\mathrm{d} \\ $$$$\:\:\mathrm{such}\:\mathrm{the}\:\mathrm{identity} \\ $$$$\:\lambda\mathrm{x}^{\mathrm{2}} +\mathrm{2xy}+\mathrm{y}^{\mathrm{2}} =\:\left(\mathrm{ax}+\mathrm{by}\right)^{\mathrm{2}} +\left(\mathrm{cx}+\mathrm{dy}\right)^{\mathrm{2}} \:\mathrm{holds} \\ $$$$\:\mathrm{for}\:\mathrm{all}\:\mathrm{x},\mathrm{y}\:\in\:\mathbb{R}\:\mathrm{this}\:\mathrm{implies} \\ $$$$\left({a}\right)\:\lambda=−\mathrm{5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({b}\right)\:\lambda\geqslant\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\:\left({c}\right)\mathrm{0}<\lambda<\mathrm{1} \\ $$$$\:\left({d}\right)\:\mathrm{there}\:\mathrm{is}\:\mathrm{no}\:\mathrm{such}\:\lambda\in\mathbb{R} \\…
Question Number 205092 by BaliramKumar last updated on 08/Mar/24 Answered by A5T last updated on 08/Mar/24 $${n}^{\mathrm{2}} +\mathrm{19}{n}+\mathrm{92}−{x}^{\mathrm{2}} =\mathrm{0} \\ $$$${n}=\frac{−\mathrm{19}\underset{−} {+}\sqrt{\mathrm{361}−\mathrm{4}\left(\mathrm{92}−{x}^{\mathrm{2}} \right)}}{\mathrm{2}}=\frac{−\mathrm{19}\underset{−} {+}\sqrt{\mathrm{4}{x}^{\mathrm{2}} −\mathrm{7}}}{\mathrm{2}}…
Question Number 205106 by mr W last updated on 08/Mar/24 Commented by mr W last updated on 10/Mar/24 https://youtu.be/FUHkTs-Ipfg?si=59bDLBxJIY5Zk5cY Answered by mr W last updated…
Question Number 205107 by mnjuly1970 last updated on 08/Mar/24 $$ \\ $$$$\:\:\:\:{y}\:=\:{log}_{\mathrm{2}} \left({sin}\left({x}\right)+{cos}\left({x}\right)\right) \\ $$$$\:\:\:\Rightarrow\:\:{R}_{{y}} \:=\:?\left({Range}\:\right) \\ $$$$ \\ $$ Commented by mr W last…
Question Number 205091 by TonyCWX08 last updated on 08/Mar/24 $${f}:{z}\:\Rightarrow\:{z} \\ $$$${f}:{z}\:\Rightarrow\:{z}_{{n}} \\ $$$${f}:{z}_{{n}} \Rightarrow\:{z}_{{n}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205070 by dimentri last updated on 07/Mar/24 $$\:\:\:\mathrm{Given}\:\begin{cases}{\mathrm{A}\cap\mathrm{B}=\:\left\{\:\mathrm{a},\:\mathrm{b}\right\}}\\{\mathrm{A}\cap\mathrm{C}\:=\:\left\{\:\mathrm{b},\:\mathrm{c}\right\}\:}\\{\mathrm{B}\cap\mathrm{C}=\:\left\{\:\mathrm{b}\:,\mathrm{d}\:\right\}}\end{cases} \\ $$$$\:\:\:\:\mathrm{then}\:\left(\mathrm{A}\cap\mathrm{C}\right)\:+\:\left(\mathrm{A}\cap\mathrm{B}\right)\:+\:\left(\mathrm{B}\cap\mathrm{C}\right) \\ $$ Commented by JDamian last updated on 07/Mar/24 $${Do}\:{you}\:{mean}\:\:\left(\mathrm{A}\cap\mathrm{C}\right)\:\cup\:\left(\mathrm{A}\cap\mathrm{B}\right)\:\cup\:\left(\mathrm{B}\cap\mathrm{C}\right)\:\:? \\ $$ Commented…