Question Number 64853 by Aysha Abedin last updated on 22/Jul/19 $$ \\ $$ Answered by MJS last updated on 22/Jul/19 $$\mathrm{42} \\ $$ Terms of…
Question Number 130389 by mathmax by abdo last updated on 25/Jan/21 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{z}\right)=\frac{\mathrm{1}}{\mathrm{1}−\mathrm{cos}\left(\mathrm{2z}\right)}\:\mathrm{determine}\:\mathrm{Res}\left(\mathrm{f},\mathrm{o}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 64851 by naka3546 last updated on 22/Jul/19 $${Find}\:\:{all}\:\:{solutions}\:\:{of}\:\:{x}\:\:{real}\:\:{numbers}\: \\ $$$$\:\:\:\:\:\:\:\:{f}\:^{−\mathrm{1}} \left({x}\right)\:\:=\:\:{f}\left({x}\right) \\ $$ Commented by naka3546 last updated on 22/Jul/19 $${how}\:\:{many}\:\:{function}\:\:{which}\:\:{satisfy}\:\:{that}\:\:{condition}\:. \\ $$…
Question Number 130387 by Bird last updated on 25/Jan/21 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{cos}\left({abx}\right)}{\left({x}^{\mathrm{2}} +{ax}+\mathrm{1}\right)\left({x}^{\mathrm{2}} +{bx}+\mathrm{1}\right)} \\ $$$${with}\:{a}\:{and}\:{b}\:{real}\:{and}\:\mid{a}\mid<\mathrm{2},\mid{b}\mid<\mathrm{2} \\ $$ Commented by mathmax by abdo last updated…
Question Number 64850 by mathmax by abdo last updated on 22/Jul/19 $${let}\:{A}_{\lambda} \:=\int_{\mathrm{0}} ^{\pi} \:\:\:\frac{{dx}}{\lambda\:\:+{cosx}\:+{sinx}}\:\:\:\:\left(\lambda\:\in\:{R}\right) \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{explicit}\:{form}\:{of}\:{A}_{\lambda} \\ $$$$\left.\mathrm{2}\right)\:\:{find}\:{also}\:{B}_{\lambda} \:=\int_{\mathrm{0}} ^{\pi} \:\:\frac{{dx}}{\left(\lambda\:+{cosx}\:+{sinx}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:\int_{\mathrm{0}}…
Question Number 130382 by Bird last updated on 24/Jan/21 $${find}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{{x}^{{n}} }{{n}^{\mathrm{3}} } \\ $$$${determine}\:{first}\:{radius}\:{of}\:{convergence} \\ $$$$\left({xreal}\right) \\ $$ Terms of Service Privacy Policy…
Question Number 130383 by MrHusseinElmasry last updated on 25/Jan/21 $${If}\:\left({a}−\mathrm{2}\right)+\mathrm{3}{i}=\mathrm{5}−{bi}\:{then}\:{a}+{b}= \\ $$ Answered by mathmax by abdo last updated on 25/Jan/21 $$\mathrm{a}−\mathrm{2}+\mathrm{3i}=\mathrm{5}−\mathrm{bi}\:\Rightarrow\mathrm{a}−\mathrm{2}+\mathrm{3i}−\mathrm{5}+\mathrm{bi}=\mathrm{0}\:\Rightarrow\mathrm{a}−\mathrm{7}+\mathrm{i}\left(\mathrm{3}+\mathrm{b}\right)=\mathrm{0}\:\Rightarrow \\ $$$$\begin{cases}{\mathrm{a}−\mathrm{7}=\mathrm{0}}\\{\mathrm{3}+\mathrm{b}=\mathrm{0}\:\:\:\Rightarrow\begin{cases}{\mathrm{a}=\mathrm{7}}\\{\mathrm{b}=−\mathrm{3}\:}\end{cases}}\end{cases} \\…
Question Number 130381 by Bird last updated on 24/Jan/21 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{{x}^{{n}} }{{n}^{\mathrm{2}} } \\ $$$${find}\:{first}\:{radius}\:{of}\:{convergence} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 64837 by aliesam last updated on 22/Jul/19 $$\begin{cases}{{x}^{\sqrt{{y}}} \:+\:{y}^{\sqrt{{x}}} \:=\:\frac{\mathrm{49}}{\mathrm{48}}}\\{\sqrt{{x}}\:+\:\sqrt{{y}}\:=\:\frac{\mathrm{7}}{\mathrm{2}}}\end{cases} \\ $$$$ \\ $$$${find}\:{x}\:{and}\:{y} \\ $$$$ \\ $$ Answered by MJS last updated…
Question Number 130370 by gowsalya last updated on 24/Jan/21 Answered by TheSupreme last updated on 24/Jan/21 $${z}={e}^{{i}\theta} \\ $$$$\mid{dz}\mid=\mid{ie}^{{i}\theta} {d}\theta\mid={d}\theta \\ $$$$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mid{e}^{{i}\theta} −\mathrm{1}\mid{d}\theta…