Question Number 77347 by key of knowledge last updated on 05/Jan/20 $$\mathrm{if}\:\int\mathrm{sin}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\mathrm{dx}=\mathrm{g}\left(\mathrm{x}\right) \\ $$$$\int\mathrm{cos}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\mathrm{dx}=? \\ $$ Commented by mind is power last updated on 05/Jan/20…
Question Number 77339 by naka3546 last updated on 05/Jan/20 Commented by mr W last updated on 05/Jan/20 $$\int_{\mathrm{3}} ^{\mathrm{6}} {f}\left({x}\right){dx}=−\mathrm{2} \\ $$$${but}\:{i}\:{don}'{t}\:{think}\:{we}\:{can}\:{get} \\ $$$$\int_{\mathrm{3}} ^{\mathrm{5}}…
Question Number 142858 by mohssinee last updated on 06/Jun/21 Commented by mohssinee last updated on 06/Jun/21 $${help}\:{please}\:?? \\ $$ Commented by Dwaipayan Shikari last updated…
Question Number 142844 by ZiYangLee last updated on 06/Jun/21 $$\mathrm{Given}\:\mathrm{that}\:{f}\left(\mathrm{sin}\:{x}\right)=\mathrm{cos}\:{x},\:\mathrm{evaluate} \\ $$$${f}\:'\left(\mathrm{sin}\:\mathrm{45}°\right). \\ $$ Answered by meetbhavsar25 last updated on 06/Jun/21 $$ \\ $$$${f}\left(\mathrm{sin}\:{x}\right)\:=\:\mathrm{cos}\:{x}\:=\:\sqrt{\mathrm{1}−\mathrm{sin}\:^{\mathrm{2}} {x}}…
Question Number 11770 by Nayon last updated on 31/Mar/17 $${ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}=\mathrm{0}\:{pls}.{solve} \\ $$ Answered by Joel576 last updated on 31/Mar/17 $${f}\left({x}\right)\:=\:{x}^{\mathrm{3}} \:+\:\frac{{b}}{{a}}{x}^{\mathrm{2}} \:+\:\frac{{c}}{{a}}{x}\:+\:\frac{{d}}{{a}}\:=\:\mathrm{0}\:\:\:…\:\left({i}\right) \\…
Question Number 77297 by vishalbhardwaj last updated on 05/Jan/20 $$\mathrm{If}\:\mathrm{y}\left(\mathrm{x}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{differential} \\ $$$$\mathrm{equation}\:\left(\frac{\mathrm{2}+\mathrm{sinx}}{\mathrm{1}+\mathrm{y}}\right)\frac{\mathrm{dy}}{\mathrm{dx}}=−\mathrm{cosx}\:\mathrm{and} \\ $$$$\mathrm{y}\left(\mathrm{0}\right)=\mathrm{1},\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{y}\left(\pi/\mathrm{2}\right)\:\:? \\ $$ Answered by john santu last updated on…
Question Number 142820 by metamorfose last updated on 05/Jun/21 $${find}\:{k}\:{if}\::\:{C}_{{n}} ^{{k}} ={n}+\mathrm{1} \\ $$ Commented by mr W last updated on 06/Jun/21 $${k}={n}+\mathrm{1} \\ $$$${because}\:{C}_{{n}}…
Question Number 142815 by mohammad17 last updated on 05/Jun/21 $${find}\:{all}\:{roots}\:{of}\: \\ $$$$ \\ $$$${m}^{\mathrm{8}} +\mathrm{7}{m}^{\mathrm{6}} +\mathrm{2}{m}^{\mathrm{5}} −\mathrm{12}=\mathrm{0} \\ $$ Commented by MJS_new last updated on…
Question Number 142802 by Gbenga last updated on 05/Jun/21 $${x}=\mathrm{2}{w}\left({e}^{−\mathrm{1}} \right) \\ $$ Commented by Dwaipayan Shikari last updated on 06/Jun/21 $${W}\left({x}\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−{n}\right)^{{n}−\mathrm{1}} }{{n}!}{x}^{{n}}…
Question Number 142788 by mohammad17 last updated on 05/Jun/21 Answered by qaz last updated on 05/Jun/21 $$\frac{\partial\mathrm{w}}{\partial\mathrm{u}}=\frac{\partial\mathrm{w}}{\partial\mathrm{x}}\centerdot\frac{\partial\mathrm{x}}{\partial\mathrm{u}}+\frac{\partial\mathrm{w}}{\partial\mathrm{y}}\centerdot\frac{\partial\mathrm{y}}{\partial\mathrm{u}}+\frac{\partial\mathrm{w}}{\partial\mathrm{z}}\centerdot\frac{\partial\mathrm{z}}{\partial\mathrm{u}} \\ $$$$\:\:\:\:\:\:\:=\mathrm{3yze}^{\mathrm{xyz}} +\mathrm{3xze}^{\mathrm{xyz}} +\mathrm{3xye}^{\mathrm{xyz}} \centerdot\mathrm{2v}^{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:=\mathrm{3e}^{\mathrm{xyz}} \left(\mathrm{yz}+\mathrm{xz}+\mathrm{2xyv}^{\mathrm{2}}…