Question Number 10787 by Saham last updated on 25/Feb/17 Commented by sandy_suhendra last updated on 25/Feb/17 $$\mathrm{is}\:\mathrm{that}\:\mathrm{P}=\mathrm{P}_{\mathrm{0}} \left[\frac{\mathrm{T}_{\mathrm{0}} }{\mathrm{T}_{\mathrm{0}} +\mathrm{Kz}}\right]^{\frac{\mathrm{g}}{\mathrm{KR}}} \:? \\ $$ Commented by…
Question Number 141856 by rs4089 last updated on 24/May/21 Answered by TheSupreme last updated on 24/May/21 $${x}=\rho{sin}\left(\varphi\right){cos}\left(\theta\right) \\ $$$${y}=\rho{sin}\left(\varphi\right){sin}\left(\theta\right) \\ $$$${z}=\rho{cos}\left(\theta\right) \\ $$$${det}\mid{J}\mid=\rho^{\mathrm{2}} {sin}\left(\varphi\right) \\…
Question Number 76323 by aliesam last updated on 26/Dec/19 Commented by mind is power last updated on 27/Dec/19 $$\mathrm{I}_{\mathrm{n}} =\int\mathrm{cos}^{\mathrm{n}} \left(\mathrm{x}\right)\mathrm{e}^{\mathrm{ax}} \mathrm{dx} \\ $$$$\mathrm{by}\:\mathrm{part} \\…
Question Number 141859 by iloveisrael last updated on 24/May/21 $$\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{4}{e}^{−{x}^{\mathrm{2}} } }{\left(\mathrm{2}{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }\:{dx}\: \\ $$ Commented by Dwaipayan Shikari last updated on…
Question Number 141858 by gsk2684 last updated on 24/May/21 Commented by gsk2684 last updated on 24/May/21 $${solution}\:{please} \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 141855 by rs4089 last updated on 24/May/21 Answered by TheSupreme last updated on 24/May/21 $${E}=\left\{\left({x},{y}\right)\mid{y}<{x}<{a}\:\vee\:\mathrm{0}<{y}<{a}\right\} \\ $$$${E}^{\mathrm{1}} =\left\{\left(\rho,\theta\right)\mid\:\mathrm{0}<\rho<{a},\:\mathrm{0}<\theta<\frac{\pi}{\mathrm{4}}\right\} \\ $$$${det}\mid{J}\mid=\rho \\ $$$$\int_{\mathrm{0}} ^{{a}}…
Question Number 76317 by Master last updated on 26/Dec/19 Commented by john santu last updated on 26/Dec/19 $$\int{e}^{{xlnx}} \:{dx}.\:{with}\:{integration}\:{by}\:{part} \\ $$$${u}={e}^{{xlnx}} \rightarrow{du}=\left({lnx}+\mathrm{1}\right){e}^{{xlnx}} .\:{dv}={dx}\: \\ $$$${I}={xe}^{{xlnx}}…
Question Number 141849 by iloveisrael last updated on 24/May/21 $$\:\:\:\:\:{y}''−\mathrm{6}{y}'+\mathrm{9}{y}\:=\:\mathrm{9}{x}^{\mathrm{2}} \:{e}^{\mathrm{3}{x}} \:\mathrm{cos}\:\left(\mathrm{3}{x}\right)\:\: \\ $$ Answered by qaz last updated on 24/May/21 $${y}''−\mathrm{6}{y}'+\mathrm{9}{y}=\mathrm{9}{x}^{\mathrm{2}} {e}^{\mathrm{3}{x}} \mathrm{cos}\:\left(\mathrm{3}{x}\right) \\…
Question Number 141848 by iloveisrael last updated on 24/May/21 $$\:\mathscr{I}\:=\:\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }−\mathrm{1}}\:{dx}\: \\ $$ Answered by ArielVyny last updated on 24/May/21 $${we}\:{know}\:{that}\:\:{cos}^{\mathrm{2}} {x}+{sin}^{\mathrm{2}} {x}=\mathrm{1} \\ $$$${let}\:{us}\:{consider}\:{that}\:\:{x}={sint}…
Question Number 10777 by j.masanja06@gmail.com last updated on 24/Feb/17 $$\:\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{or}\:\left(\mathrm{ranges}\right)\:\mathrm{of}\:\mathrm{value}\:\mathrm{x} \\ $$$$\mathrm{can}\:\mathrm{take}\:\mathrm{for}\:\:\mathrm{x}+\mathrm{6}>\left[\mathrm{2x}+\mathrm{3}\right] \\ $$ Commented by mrW1 last updated on 24/Feb/17 $${do}\:{you}\:{mean}\:{x}+\mathrm{6}>\mid\mathrm{2}{x}+\mathrm{3}\mid\:? \\ $$ Commented…