Question Number 192689 by sciencestudentW last updated on 24/May/23 $${a}\:{plant}\:{grow}\:{up}\:\mathrm{1}.\mathrm{67}{cm}\:{in}\:{the}\:{first}\:{week} \\ $$$${after}\:{that}\:{it}\:{grow}\:{up}\:\mathrm{4\%}\:{grow}\:{up}\:{more} \\ $$$${than}\:{the}\:{first}\:{week}\:{every}\:{week},\:{how}\:{much} \\ $$$${will}\:{grow}\:{up}\:{in}\:\mathrm{11}{th}\:{week}? \\ $$ Commented by sciencestudentW last updated on 24/May/23…
Question Number 192688 by Erico last updated on 24/May/23 $$\mathrm{Prove}\:\mathrm{that}\:: \\ $$$$\mathrm{C}_{\mathrm{n}} ^{\mathrm{k}} \:=\:\frac{\mathrm{1}}{\mathrm{2}\pi}\:\underset{\:−\pi} {\int}^{\:\:\:\pi} \left(\mathrm{2cos}\frac{\theta}{\mathrm{2}}\right)^{\mathrm{n}} \mathrm{cos}\left[\left(\frac{\mathrm{n}}{\mathrm{2}}−\mathrm{k}\right)\theta\right]\mathrm{d}\theta \\ $$ Answered by witcher3 last updated on…
Question Number 127155 by DomaPeti last updated on 27/Dec/20 $$\underset{\mathrm{0}} {\overset{{X}} {\int}}−{f}\left({x}\right)\:{dx}={f}\left({X}\right)\centerdot{c}\centerdot\left({X}\centerdot{c}_{\mathrm{1}} +{c}_{\mathrm{2}} \right) \\ $$$${f}\left({x}\right)=? \\ $$$$ \\ $$ Commented by mr W last…
Question Number 127152 by mnjuly1970 last updated on 27/Dec/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…{differential}\:\:{equation}…\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:{if}\:\:\:\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }\:=\:{y}\left({x}\right)\:\:\&\:{y}\left(\mathrm{0}\right)=−{y}'\left(\mathrm{0}\right)=\mathrm{1} \\ $$$$\:\:{then}\:\:\:{evaluate}\:\:::: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\Omega=\int_{\mathrm{0}} ^{\:\infty} {y}\left({x}\right).{y}^{−\mathrm{1}} \left(−{x}\right){dx}=? \\ $$$$ \\ $$…
Question Number 192687 by Mastermind last updated on 24/May/23 $$\frac{\mathrm{1}}{\pi}\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mathrm{xcos}\left(\mathrm{nx}\right)\mathrm{dx} \\ $$$$ \\ $$$$\mathrm{Help}! \\ $$ Answered by Subhi last updated on 24/May/23…
Question Number 61613 by naka3546 last updated on 05/Jun/19 $${S}\:\:=\:\:\mathrm{1}\:+\:\frac{\mathrm{3}}{\mathrm{2018}}\:+\:\frac{\mathrm{5}}{\mathrm{2018}^{\mathrm{2}} }\:+\:\frac{\mathrm{7}}{\mathrm{2018}^{\mathrm{3}} }\:+\:… \\ $$$$\mathrm{4}{S}\:−\:{S}^{\mathrm{2}} \:\:=\:\:? \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 61612 by Tawa1 last updated on 05/Jun/19 Commented by MJS last updated on 05/Jun/19 $$\mathrm{a}\:\mathrm{hanging}\:\mathrm{rope}\:\mathrm{forms} \\ $$$${y}={a}\mathrm{cosh}\:\frac{{x}}{{a}} \\ $$$$\mathrm{if}\:\mathrm{we}\:\mathrm{put}\:\mathrm{the}\:\mathrm{towers}\:\:\mathrm{at}\:{x}=\pm\frac{{d}}{\mathrm{2}} \\ $$ Commented by…
Question Number 127144 by peter frank last updated on 27/Dec/20 Answered by talminator2856791 last updated on 28/Dec/20 $$\:\mathrm{is}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{200}? \\ $$ Commented by peter frank last…
Question Number 192676 by Shrinava last updated on 24/May/23 $$\mathrm{Find}:\:\:\:\mathrm{x}\:=\:? \\ $$$$\mathrm{1}.\:\:\mathrm{lg}\left(\mathrm{5x}^{\mathrm{2}} \:−\:\mathrm{6}\right)\centerdot\mathrm{lg}\left(\mathrm{5x}\:−\:\mathrm{6}\right)\:=\:\mathrm{0} \\ $$$$\mathrm{2}.\:\:\left(\mathrm{2x}\:−\:\mathrm{5}\right)\centerdot\mathrm{log}_{\mathrm{3}} \left(\mathrm{1},\mathrm{5}\:−\:\mathrm{x}\right)\:=\:\mathrm{0} \\ $$$$\mathrm{3}.\:\:\mathrm{4}^{\boldsymbol{\mathrm{x}}} \:−\:\mathrm{14}\centerdot\mathrm{2}^{\boldsymbol{\mathrm{x}}} \:−\:\mathrm{32}\:=\:\mathrm{0} \\ $$ Answered by Frix…
Question Number 127143 by peter frank last updated on 27/Dec/20 Commented by Dwaipayan Shikari last updated on 27/Dec/20 $$\mathrm{042} \\ $$ Answered by Ar Brandon…