Question Number 206522 by MrGHK last updated on 17/Apr/24 Answered by Berbere last updated on 17/Apr/24 $${u}'={xln}^{\mathrm{2}} \left({x}\right)\Rightarrow{u}=\frac{\mathrm{1}}{\mathrm{2}}\left({x}^{\mathrm{2}} {ln}^{\mathrm{2}} \left({x}\right)−{x}^{\mathrm{2}} {ln}\left({x}\right)+\frac{{x}^{\mathrm{2}} }{\mathrm{2}}\right) \\ $$$${v}={Li}_{\mathrm{2}} \left(\frac{\mathrm{1}+{x}}{{x}}\right);{v}'=−\frac{\mathrm{1}}{{x}^{\mathrm{2}}…
Question Number 206532 by necx122 last updated on 17/Apr/24 $${Find}\:{the}\:{nth}\:{term}\:{of}\:{the}\:{sequence} \\ $$$$\mathrm{0},\mathrm{3},\mathrm{8},\mathrm{15},\mathrm{24},…… \\ $$ Answered by Berbere last updated on 17/Apr/24 $${Impossibl} \\ $$$${there}\:{are}\left[{infinity}\:{way}\:\right. \\…
Question Number 206514 by cortano21 last updated on 17/Apr/24 $$\:{In}\:{this}\:{covid}\:−\mathrm{19}\:{pandemic},\:{it}\:{is}\: \\ $$$$\:{known}\:{that}\:{are}\:\mathrm{5},\mathrm{667},\mathrm{355}\:{confirmed}\: \\ $$$$\:{cases}\:{out}\:{of}\:\mathrm{273},\mathrm{500},\mathrm{000}\:{in}\:{X}\:{country} \\ $$$$\:{population}\:{based}\:{WHO}.\: \\ $$$$\:{One}\:{of}\:{the}\:{equipment}\:{to}\:{test}\:{the} \\ $$$$\:{covid}−\mathrm{19}\:{is}\:{GeNose}\:{C}\mathrm{19}−{S}\:{developed} \\ $$$$\:{by}\:{UGM}.\:{GeNose}\:{C}\mathrm{19}−{S}\:{is}\:{a}\:{rapid} \\ $$$$\:{screening}\:{equipment}\:{for}\:{Sars}−{CoV}\mathrm{2} \\…
Question Number 206489 by Simurdiera last updated on 16/Apr/24 $${Resuelve}\:{la}\:{siguiente}\:{integral} \\ $$$$\int\:\frac{\mathrm{sin}\:\left({t}\right)}{\:\sqrt[{\mathrm{4}}]{\mathrm{sin}^{\mathrm{7}} \left({t}\right)\centerdot\mathrm{cos}^{\mathrm{5}} \left({t}\right)}}\:{dt} \\ $$ Answered by Frix last updated on 16/Apr/24 $${t}=\mathrm{tan}\:{x} \\…
Question Number 206490 by Simurdiera last updated on 16/Apr/24 $${Resuelve}\:{la}\:{siguiente}\:{integral} \\ $$$$\int\:\frac{\mathrm{cos}\:\left({t}\right)}{\:\sqrt[{\mathrm{4}}]{\mathrm{sin}^{\mathrm{7}} \left({t}\right)\centerdot\mathrm{cos}^{\mathrm{5}} \left({t}\right)}}\:{dt} \\ $$ Answered by Frix last updated on 16/Apr/24 $${t}=\mathrm{tan}\:{x} \\…
Question Number 206491 by cortano21 last updated on 16/Apr/24 Commented by cortano21 last updated on 16/Apr/24 $$\:\:\underbrace{\:} \\ $$ Answered by mr W last updated…
Question Number 206500 by MATHEMATICSAM last updated on 16/Apr/24 $$\mathrm{If}\:{a}\mathrm{sin}^{\mathrm{2}} \theta\:+\:{b}\mathrm{cos}^{\mathrm{2}} \theta\:=\:{c},\:{b}\mathrm{sin}^{\mathrm{2}} \phi\:+\:{a}\mathrm{cos}^{\mathrm{2}} \phi\:=\:{d} \\ $$$$\mathrm{and}\:{a}\mathrm{tan}\theta\:=\:{b}\mathrm{tan}\phi\:\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that} \\ $$$$\frac{\mathrm{1}}{{a}}\:+\:\frac{\mathrm{1}}{{b}}\:=\:\frac{\mathrm{1}}{{c}}\:+\:\frac{\mathrm{1}}{{d}}\:. \\ $$ Answered by Berbere last updated…
Question Number 206484 by sonukgindia last updated on 16/Apr/24 Answered by mr W last updated on 16/Apr/24 Commented by mr W last updated on 16/Apr/24…
Question Number 206501 by hardmath last updated on 16/Apr/24 $$\mathrm{If} \\ $$$$\mathrm{x}^{\boldsymbol{\mathrm{log}}_{\mathrm{3}} \:\boldsymbol{\mathrm{x}}\:−\:\mathrm{1}} \:\:=\:\:\mathrm{log}_{\mathrm{3}} \:\mathrm{x}\:+\:\mathrm{3} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{log}_{\mathrm{3}} \:\mathrm{x}_{\mathrm{1}} \:+\:\mathrm{log}_{\mathrm{3}} \:\mathrm{x}_{\mathrm{2}} \:=\:? \\ $$ Commented by…
Question Number 206477 by hardmath last updated on 15/Apr/24 $$\mathrm{If}\:\:\:\mathrm{a}>\mathrm{b}>\mathrm{0}\:\:\:\mathrm{and}\:\:\:\mathrm{4a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:=\:\mathrm{4ab} \\ $$$$\mathrm{Find}:\:\:\:\frac{\mathrm{a}\:−\:\mathrm{b}}{\mathrm{a}\:+\:\mathrm{b}}\:=\:? \\ $$ Answered by MATHEMATICSAM last updated on 16/Apr/24 $$\mathrm{4}{a}^{\mathrm{2}} \:+\:{b}^{\mathrm{2}}…