Question Number 83318 by M±th+et£s last updated on 29/Feb/20 $${Evaluate} \\ $$$$\int{x}^{\frac{\mathrm{1}}{{x}^{{n}} }} \:{dx}\:,{n}>\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 83319 by jagoll last updated on 29/Feb/20 $$\mathrm{if}\:\mathrm{tan}\:\beta\:=\:\frac{\mathrm{tan}\:\alpha\:+\:\mathrm{tan}\:\gamma}{\mathrm{1}+\mathrm{tan}\:\alpha\mathrm{tan}\:\gamma} \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{sin}\:\mathrm{2}\beta\:=\:\frac{\mathrm{sin}\:\mathrm{2}\alpha+\mathrm{sin}\:\mathrm{2}\gamma}{\mathrm{1}+\mathrm{sin}\:\mathrm{2}\alpha\mathrm{sin}\:\mathrm{2}\gamma} \\ $$ Answered by mind is power last updated on 01/Mar/20 $${sin}\left(\mathrm{2}\beta\right)=\frac{\mathrm{2}{tg}\left(\beta\right)}{\mathrm{1}+{tg}^{\mathrm{2}} \left(\beta\right)}…
Question Number 17782 by Mr easymsn last updated on 10/Jul/17 $${let}\:{a},{b},{c},{x},{y}\:{and}\:{z}\:{be}\:{complex}\:{numbers} \\ $$$${such}\:{that}\:: \\ $$$${a}=\frac{{b}+{c}}{{x}−\mathrm{2}},\:{b}=\frac{{c}+{a}}{{y}−\mathrm{2}},\:{c}=\frac{{a}+{b}}{{z}−\mathrm{2}} \\ $$$${if}\:{xy}+{yz}+{zx}=\mathrm{1000}\:{and}\:{x}+{y}+{z}=\mathrm{2016}, \\ $$$${find}\:{the}\:{value}\:{of}\:{xyz} \\ $$ Commented by ajfour last…
Question Number 148854 by DomaPeti last updated on 31/Jul/21 $$\int\sqrt{\frac{{A}\centerdot{B}\centerdot\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }}{\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){B}^{\mathrm{2}} +{C}}}{dx}=\:\:? \\ $$$${A},{B},{C}={const}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 148849 by EDWIN88 last updated on 31/Jul/21 $$\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\frac{{x}^{\mathrm{3}} −\mathrm{cos}\:\sqrt{{x}}\:\mathrm{sin}\:^{\mathrm{2}} {x}}{{x}^{\mathrm{2}} }\:=? \\ $$ Answered by iloveisrael last updated on 01/Aug/21 $$\:\underset{{x}\rightarrow\mathrm{0}^{+}…
Question Number 17779 by Mr easymsn last updated on 10/Jul/17 $${show}\:{that}\:\left\{{lo}\underset{{a}} {{g}ab}\right\}\left\{{lo}\underset{{b}} {{g}ab}\right\}={loga}\underset{{a}} {{b}}+{loga}\underset{{b}} {{b}} \\ $$ Answered by Tinkutara last updated on 11/Jul/17 $$\left(\mathrm{log}_{{a}}…
Question Number 148848 by EDWIN88 last updated on 31/Jul/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt[{\mathrm{4}}]{{x}+\mathrm{16}}\:\sqrt[{\mathrm{3}}]{{x}+\mathrm{8}}\:−\mathrm{4}}{{x}^{\mathrm{2}} +\mathrm{2}{x}}\:=?\: \\ $$ Answered by mathmax by abdo last updated on 01/Aug/21 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{\left(\mathrm{x}+\mathrm{16}\right)^{\frac{\mathrm{1}}{\mathrm{4}}} \left(\mathrm{x}+\mathrm{8}\right)^{\frac{\mathrm{1}}{\mathrm{3}}}…
Question Number 17775 by gourav~ last updated on 10/Jul/17 $$\underset{{m}=\mathrm{1}} {\overset{\mathrm{10}} {\sum}}\left(\frac{\mathrm{sin}\:\mathrm{2}\pi{m}}{\mathrm{11}}\:−\:{i}\frac{\mathrm{cos}\:\mathrm{2}\pi{m}}{\mathrm{11}}\right)\:=????? \\ $$$${Solve}..{it} \\ $$$$ \\ $$ Answered by alex041103 last updated on 10/Jul/17…
Question Number 17771 by b.e.h.i.8.3.417@gmail.com last updated on 10/Jul/17 Commented by b.e.h.i.8.3.417@gmail.com last updated on 10/Jul/17 $${in}\:{X}\overset{\Delta} {{Y}Z}:\: \\ $$$$\left.\:\:\:\:\mathrm{1}\right){XY}={XZ} \\ $$$$\left.\:\:\:\:\mathrm{2}\right){XS}={ST}={TZ}={ZY}\:\: \\ $$$${find}\:{any}\:{possible}\:{angles}\:{in}\:{this}\: \\…
Question Number 83307 by ajfour last updated on 29/Feb/20 Commented by mr W last updated on 01/Mar/20 $${at}\:{equilibrium}\:{position}\:{half}\:{of}\:{the} \\ $$$${object}\:{is}\:{submerged},\:{therefore} \\ $$$$\rho=\frac{\mathrm{1}}{\mathrm{2}}\rho_{\mathrm{0}} \\ $$ Commented…