Menu Close

Category: None

y-log-1-cos-x-dy-dx-

Question Number 153033 by ZiYangLee last updated on 04/Sep/21 $${y}=\mathrm{log}\:\left(\mathrm{1}+\mathrm{cos}\:{x}\right) \\ $$$$\frac{{dy}}{{dx}}= \\ $$ Answered by puissant last updated on 04/Sep/21 $${y}={ln}\left(\mathrm{1}+{cosx}\right) \\ $$$$\frac{{dy}}{{dx}}=\frac{−{sinx}}{\mathrm{1}+{cosx}} \\…

2-x-3-y-6-3-x-4-y-12-

Question Number 87439 by mary_ last updated on 04/Apr/20 $$\begin{cases}{\mathrm{2}^{\mathrm{x}} .\mathrm{3}^{\mathrm{y}} =\mathrm{6}}\\{\mathrm{3}^{\mathrm{x}} .\mathrm{4}^{\mathrm{y}} =\mathrm{12}}\end{cases} \\ $$ Commented by john santu last updated on 04/Apr/20 $$\frac{\mathrm{2}^{\mathrm{x}}…

Question-87418

Question Number 87418 by liki last updated on 04/Apr/20 Answered by Rio Michael last updated on 04/Apr/20 $$\left(\mathrm{a}\right)\:\mathrm{since}\:\mathrm{we}\:\mathrm{have}\:\mathrm{3}\:\mathrm{match}\:\mathrm{pairs}\:\mathrm{in}\:\mathrm{the}\:\mathrm{box},\:\mathrm{then} \\ $$$$\mathrm{P}\left(\mathrm{match}\:\mathrm{pair}\right)\:=\:\frac{\mathrm{1}}{\mathrm{3}}. \\ $$$$\:\left(\mathrm{b}\right)\:\mathrm{we}\:\mathrm{have}\:\mathrm{six}\:\mathrm{socks}\:\mathrm{in}\:\mathrm{that}\:\mathrm{box},\:\mathrm{3}\:\mathrm{left}\:\mathrm{feet}\:\mathrm{and}\:\mathrm{3}\:\mathrm{right}\:\mathrm{fit} \\ $$$$\:\:\:\:\:\:\:\mathrm{P}\left(\mathrm{left}\:\mathrm{feet}\right)\:=\:\frac{\mathrm{1}}{\mathrm{3}}\:\mathrm{and}\:\mathrm{P}\left(\mathrm{right}\:\mathrm{feet}\right)\:=\:\frac{\mathrm{1}}{\mathrm{3}} \\…

sinx-1-5-dx-

Question Number 87409 by redmiiuser last updated on 04/Apr/20 $$\int\left({sinx}\right)^{\frac{\mathrm{1}}{\mathrm{5}}} {dx} \\ $$ Commented by Prithwish Sen 1 last updated on 04/Apr/20 $$\int\frac{\mathrm{sin}^{\frac{\mathrm{1}}{\mathrm{5}}} \mathrm{x}\:\mathrm{cosx}}{\mathrm{cosx}}\:\mathrm{dx}\:\:\:\mathrm{put}\:\mathrm{sinx}\:=\:\mathrm{u}^{\mathrm{5}} \:\:\mathrm{cosxdx}\:=\:\mathrm{5u}^{\mathrm{4}}…