Question Number 89193 by jagoll last updated on 16/Apr/20 $$\mathrm{cos}\:{x}−\mathrm{sin}\:{x}\:=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\mathrm{cos}\:{x}\:\mathrm{sin}\:{x}\:=\:\frac{\mathrm{3}}{\mathrm{8}}\:,\:\pi\:<\:{x}\:<\:\mathrm{2}\pi \\ $$$$\mathrm{cos}\:{x}\:+\:\mathrm{sin}\:{x}\:=? \\ $$ Commented by Tony Lin last updated on 16/Apr/20 $$\because\pi<{x}<\mathrm{2}\pi…
Question Number 154725 by SLVR last updated on 21/Sep/21 $${If}\:{f}\left({x}\right)={x}^{\mathrm{3}} +{x}+\mathrm{1}\:{then}\:{invrse}\:{function} \\ $$$${of}\:{f}\left({x}\right)\:{is}??? \\ $$ Answered by mr W last updated on 21/Sep/21 $${y}={x}^{\mathrm{3}} +{x}+\mathrm{1}…
Question Number 154724 by liberty last updated on 21/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 89188 by naka3546 last updated on 16/Apr/20 $${f}\left({x}\right)\:+\:{f}\left({x}−\mathrm{1}\right)\:\:=\:\:{x}^{\mathrm{2}} \:\:\:,\:\:\:{x}\:\in\:\mathbb{R} \\ $$$${f}\left(\mathrm{19}\right)\:\:=\:\:\mathrm{94} \\ $$$${f}\left(\mathrm{94}\right)\:\:=\:\:…\:\:? \\ $$ Answered by jagoll last updated on 16/Apr/20 $${i}\:{got}\:{f}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{2}}{x}\left({x}+\mathrm{1}\right)…
Question Number 89187 by TawaTawa1 last updated on 16/Apr/20 Commented by jagoll last updated on 16/Apr/20 $$\sqrt{\mathrm{8}{xy}−\mathrm{1}}\:=\:{t}\: \\ $$$$\mathrm{8}{xy}\:=\:{t}^{\mathrm{2}} +\mathrm{1}\:\Rightarrow\sqrt{\mathrm{8}{xy}}\:=\:\sqrt{{t}^{\mathrm{2}} +\mathrm{1}} \\ $$$$\mathrm{4}{y}\:=\:\frac{{t}^{\mathrm{2}} +\mathrm{1}}{\mathrm{2}{x}}\: \\…
Question Number 154723 by liberty last updated on 21/Sep/21 $$\:{G}\:=\:\sqrt{\mathrm{46}−\mathrm{27}{i}}\:+\sqrt{−\mathrm{4}−\mathrm{3}{i}} \\ $$$$\:{G}^{\mathrm{2}} \:=? \\ $$ Commented by mathdanisur last updated on 21/Sep/21 $$\mathrm{G}\:=\:\mathrm{3}\:\sqrt{\mathrm{4}\:-\:\mathrm{3}\boldsymbol{\mathrm{i}}}\:+\:\sqrt{-\mathrm{4}\:-\:\mathrm{3}\boldsymbol{\mathrm{i}}}\:=\:\mathrm{5}\sqrt{\mathrm{2}}\:-\:\mathrm{3}\sqrt{\mathrm{2}}\boldsymbol{\mathrm{i}} \\ $$$$\mathrm{G}^{\mathrm{2}}…
Question Number 89185 by naka3546 last updated on 16/Apr/20 Commented by mr W last updated on 16/Apr/20 $${by}\:{error}\:{and}\:{try} \\ $$$${k}=\mathrm{624},\:\mathrm{687},\:\mathrm{1312},\:…. \\ $$ Terms of Service…
Question Number 23648 by Tinkutara last updated on 03/Nov/17 $$\mathrm{If}\:\mathrm{sin}\left(\mathrm{3}\theta\:+\:\alpha\right)\:+\:\mathrm{sin}\left(\mathrm{3}\theta\:−\:\alpha\right)\:+\:\mathrm{sin}\left(\alpha\:−\:\theta\right) \\ $$$$−\:\mathrm{sin}\left(\alpha\:+\:\theta\right)\:=\:\mathrm{cos}\alpha\:\mathrm{and}\:\mathrm{cos}\alpha\:\neq\:\mathrm{0},\:\mathrm{then} \\ $$$$\mathrm{which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\theta\:\mathrm{does}\:\mathrm{not}\:\mathrm{satisfy} \\ $$$$\mathrm{the}\:\mathrm{given}\:\mathrm{equation}? \\ $$$$\left(\mathrm{1}\right)\:{n}\pi\:+\:\left(−\mathrm{1}\right)^{{n}} \:\frac{\pi}{\mathrm{6}},\:{n}\:\in\:{I} \\ $$$$\left(\mathrm{2}\right)\:{n}\pi\:+\:\left(−\mathrm{1}\right)^{{n}} \:\frac{\pi}{\mathrm{10}},\:{n}\:\in\:{I} \\ $$$$\left(\mathrm{3}\right)\:{n}\pi\:+\:\left(−\mathrm{1}\right)^{{n}} \:\frac{\pi}{\mathrm{5}},\:{n}\:\in\:{I}…
Question Number 154719 by liberty last updated on 21/Sep/21 $$\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{6}}} {\mathrm{lim}}\:\frac{\mathrm{2ln}\:\left[\Gamma\left(\mathrm{sin}\:{x}\right)\right]−\mathrm{ln}\:\pi}{\Gamma\left(\mathrm{sec}\:{x}\right)−\mathrm{1}}\:=? \\ $$ Answered by john_santu last updated on 21/Sep/21 $$\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{6}}} {\mathrm{lim}}\:\frac{\mathrm{2cos}\:{x}\:\Psi^{\mathrm{0}} \left(\mathrm{sin}\:\left({x}\right)\right)}{\mathrm{2tan}\:\left(\mathrm{2}{x}\right)\mathrm{sec}\:\left(\mathrm{2}{x}\right)\Gamma\left(\mathrm{sec}\:\left(\mathrm{2}{x}\right)\right)\Psi^{\mathrm{0}} \left(\mathrm{sec}\:\left(\mathrm{2}{x}\right)\right)}= \\…
Question Number 23645 by Tinkutara last updated on 03/Nov/17 $$\mathrm{Ethylene}\:\mathrm{on}\:\mathrm{combustion}\:\mathrm{gives}\:\mathrm{carbon} \\ $$$$\mathrm{dioxide}\:\mathrm{and}\:\mathrm{water}.\:\mathrm{Its}\:\mathrm{enthalpy}\:\mathrm{of} \\ $$$$\mathrm{combustion}\:\mathrm{is}\:\mathrm{1410}\:\mathrm{kJ}/\mathrm{mol}.\:\mathrm{If}\:\mathrm{the} \\ $$$$\mathrm{enthalpy}\:\mathrm{of}\:\mathrm{formation}\:\mathrm{of}\:\mathrm{CO}_{\mathrm{2}} \:\mathrm{and}\:\mathrm{H}_{\mathrm{2}} \mathrm{O} \\ $$$$\mathrm{are}\:\mathrm{393}.\mathrm{3}\:\mathrm{kJ}\:\mathrm{and}\:\mathrm{286}.\mathrm{2}\:\mathrm{kJ}\:\mathrm{respectively}. \\ $$$$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{enthalpy}\:\mathrm{of}\:\mathrm{formation}\:\mathrm{of} \\ $$$$\mathrm{ethylene}. \\…