Question Number 199553 by cortano12 last updated on 05/Nov/23 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{tan}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)−\mathrm{sin}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)}{\mathrm{x}^{\mathrm{2}} \:\left(\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}−\mathrm{2}}−\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}−\mathrm{2}}\:\right)}\:=? \\ $$ Answered by MM42 last updated on 05/Nov/23 $$−\frac{\sqrt{\mathrm{2}}}{\mathrm{8}}\:{i}\:\:\checkmark \\…
Question Number 199587 by aurpeyz last updated on 05/Nov/23 $$ \\ $$$${I}\:{konw}\:{that}\:{Bosons}\:{are}\:{with}\:{even}\:{number}\:{of}\: \\ $$$${proton}\:{and}\:{neutron}\:{and}\:{eletron}\:{but}\:{I}\:{am}\:{not}\:{sure} \\ $$$${of}\:{that}\:{fermions}.\: \\ $$$${Can}\:{someone}\:{help}\:{answer}\:{the}\:{question}\:{below}? \\ $$$$ \\ $$$${Which}\:{of}\:{this}\:{belongs}\:{to}\:{bosons}\:{or}\:{fermions}? \\ $$$$\mathrm{1}.\:\mathrm{12}{C}\:\left({Carbon}−\mathrm{12}\right) \\…
Question Number 199486 by hardmath last updated on 04/Nov/23 $$\mathrm{Solve}:\:\:\:\mathrm{100}^{\boldsymbol{\mathrm{x}}} \:=\:\mathrm{200} \\ $$ Answered by cortano12 last updated on 04/Nov/23 $$\mathrm{log}\:_{\mathrm{10}} \left(\mathrm{100}^{\mathrm{x}} \right)=\:\mathrm{log}\:_{\mathrm{10}} \left(\mathrm{200}\right) \\…
Question Number 199480 by Abdullahrussell last updated on 04/Nov/23 Commented by mr W last updated on 04/Nov/23 $$=\frac{\mathrm{sin}\:\theta+\mathrm{sin}\:\mathrm{50}°+\mathrm{1}+\mathrm{sin}\:\mathrm{50}°}{\mathrm{cos}\:\theta+\mathrm{cos}\:\mathrm{50}°+\mathrm{0}−\mathrm{cos}\:\mathrm{50}°} \\ $$$$=\frac{\mathrm{sin}\:\theta+\mathrm{1}+\mathrm{2}\:\mathrm{sin}\:\mathrm{50}°}{\mathrm{cos}\:\theta} \\ $$ Terms of Service…
Question Number 199481 by tri26112004 last updated on 04/Nov/23 $${Give}\:\bigtriangleup{ABC}\:{is}\:{acute}\:{triangle}. \\ $$$${M}\:\:{is}\:{a}\:{midpoint}\:{of}\:{BC} \\ $$$${Prove}\:{that}\:{AB}+{AC}>\mathrm{2}{AM} \\ $$ Answered by mr W last updated on 04/Nov/23 Commented…
Question Number 199482 by York12 last updated on 04/Nov/23 $$\mathrm{can}\:\mathrm{someone}\:\mathrm{factor}\:\mathrm{this}\:\left(\mathrm{3x}^{\mathrm{3}} \mathrm{y}−\mathrm{7x}^{\mathrm{2}} +\mathrm{5xy}^{\mathrm{3}} −\mathrm{y}^{\mathrm{2}} \right) \\ $$ Commented by Frix last updated on 04/Nov/23 $$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{think}\:\mathrm{this}\:\mathrm{is}\:\mathrm{possible}. \\…
Question Number 199538 by cherokeesay last updated on 04/Nov/23 Answered by mr W last updated on 05/Nov/23 $$\left.{a}\right) \\ $$$${f}\left({x}\right)={x}^{\mathrm{3}} −\mathrm{1}−{m}\left({x}−\mathrm{1}\right) \\ $$$${f}'\left({x}\right)=\mathrm{3}{x}^{\mathrm{2}} −{m}=\mathrm{0} \\…
Question Number 199468 by Calculusboy last updated on 04/Nov/23 Answered by witcher3 last updated on 04/Nov/23 $$\frac{\mathrm{x}}{\mathrm{2021}\pi}\Leftrightarrow \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{\mathrm{e}^{\mathrm{t}^{\mathrm{2021}} } }\left(\mathrm{1}+\mathrm{t}^{\mathrm{2022}} \right)^{\frac{\mathrm{1}}{\mathrm{2022}}} \mathrm{dt}=\mathrm{I}…
Question Number 199471 by MathematicalUser2357 last updated on 04/Nov/23 $${Find}\:{the}\:{integral} \\ $$$$\int_{−\mathrm{3}} ^{\mathrm{3}} \begin{cases}{{x}^{\mathrm{3}} −{x}}&{\left({x}\leq\mathrm{0}\right)}\\{{x}^{\mathrm{2}} }&{\left({x}\geq\mathrm{0}\right)}\end{cases}{dx} \\ $$ Answered by Frix last updated on 04/Nov/23…
Question Number 199528 by hardmath last updated on 04/Nov/23 Terms of Service Privacy Policy Contact: info@tinkutara.com