Question Number 242 by 123456 last updated on 25/Jan/15 $$\mathrm{give}\:\mathrm{the}\:\mathrm{sets} \\ $$$$\mathrm{A}=\left\{{x}\in\mathbb{N}:\mathrm{0}\leqslant{x}\leqslant\mathrm{9}\right\} \\ $$$$\mathrm{B}=\left\{\mathrm{0}\right\} \\ $$$$\mathrm{C}=\left\{\mathrm{1}\right\} \\ $$$$\mathrm{D}=\left\{\mathrm{2},\mathrm{3},\mathrm{5},\mathrm{7}\right\} \\ $$$$\mathrm{E}=\left\{\mathrm{4},\mathrm{6},\mathrm{8},\mathrm{9}\right\} \\ $$$$\mathrm{compute} \\ $$$$\mid\mathrm{A}\backslash\mathrm{B}\mid+\mid\mathrm{A}\backslash\mathrm{C}\mid+\mid\mathrm{A}\backslash\mathrm{D}\mid+\mid\mathrm{A}\backslash\mathrm{E}\mid \\…
Question Number 243 by 123456 last updated on 25/Jan/15 $$\mathrm{evaluate} \\ $$$$\underset{−\infty} {\overset{+\infty} {\int}}\frac{\mathrm{sin}\:{x}}{{x}}{dx} \\ $$ Answered by prakash jain last updated on 17/Dec/14 $$\mathrm{Let}\:\mathrm{us}\:\mathrm{consider}\:\underset{\mathrm{0}}…
Question Number 65779 by mathmax by abdo last updated on 03/Aug/19 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\:\frac{{sin}\left({x}^{\mathrm{2}} \right)−{xtan}\left({x}\right)}{\mathrm{1}−{cos}\left(\mathrm{4}{x}\right)} \\ $$ Commented by mathmax by abdo last updated on 04/Aug/19…
Question Number 131315 by Engr_Jidda last updated on 03/Feb/21 $${Given}\:{that}\:{y}_{{n}} \left({t}\right)=\varrho^{{t}} {B}_{{n}} {sin}\frac{{n}\pi}{\mathrm{4}}{t} \\ $$$${Evaluate}\:\int_{\mathrm{0}} ^{\mathrm{4}} \left[{y}_{{n}} \left({t}\right)\right]^{\mathrm{2}} {dt} \\ $$ Answered by Ar Brandon…
Question Number 65776 by mathmax by abdo last updated on 03/Aug/19 $${find}\:\:\int_{−\frac{\pi}{\mathrm{4}}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{cosx}}{\mathrm{2}+\mathrm{5}{sinx}}{dx} \\ $$ Commented by kaivan.ahmadi last updated on 04/Aug/19 $${u}=\mathrm{2}+\mathrm{5}{sinx}\Rightarrow{du}=\mathrm{5}{cosxdx} \\…
Question Number 65777 by mathmax by abdo last updated on 03/Aug/19 $${find}\:{lim}_{{n}\rightarrow+\infty} \:\:{e}^{−{n}} \left(\left({n}+\mathrm{1}\right)!\right)^{{n}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 131309 by shaker last updated on 03/Feb/21 Answered by Ar Brandon last updated on 03/Feb/21 $$\mathrm{z}^{\mathrm{5}} +\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\mathrm{i}=\mathrm{0}\:\Rightarrow\mathrm{z}^{\mathrm{5}} +\mathrm{e}^{\frac{\pi}{\mathrm{4}}\mathrm{i}} =\mathrm{0} \\ $$$$\mathrm{z}^{\mathrm{5}} =−\mathrm{e}^{\frac{\pi}{\mathrm{4}}\mathrm{i}} =\mathrm{e}^{\frac{\pi}{\mathrm{4}}\mathrm{i}+\left(\mathrm{2k}+\mathrm{1}\right)\pi\mathrm{i}}…
Question Number 65774 by mathmax by abdo last updated on 03/Aug/19 $${find}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\:\:\frac{{sin}^{\mathrm{2}} {x}}{{sin}^{\mathrm{2}} \left(\frac{{nx}}{\mathrm{2}}\right)}{dx}\:\:\:\:\left({n}>\mathrm{0}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 239 by 123456 last updated on 25/Jan/15 $$\mathrm{find}\:\mathrm{f}\left(\mathrm{10}\right)\:\mathrm{given} \\ $$$$\mathrm{f}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$$\mathrm{f}\left(\mathrm{1}\right)=\mathrm{1} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{x}−\mathrm{1}\right)+\mathrm{f}\left(\mathrm{x}−\mathrm{2}\right),\mathrm{x}>\mathrm{1},\mathrm{x}\equiv\mathrm{0}\left(\mathrm{mod}\:\mathrm{2}\right) \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{x}−\mathrm{1}\right)\mathrm{f}\left(\mathrm{x}−\mathrm{2}\right),\mathrm{x}>\mathrm{1},\mathrm{x}\equiv\mathrm{1}\left(\mathrm{mod}\:\mathrm{2}\right) \\ $$ Answered by prakash jain last…
Question Number 65775 by mathmax by abdo last updated on 03/Aug/19 $$\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{{tanx}}{\mathrm{2}+\mathrm{3}{cosx}}{dx} \\ $$ Commented by mathmax by abdo last updated on 04/Aug/19…