Question Number 66090 by Lalita 42@gmeilcon last updated on 09/Aug/19 $$\:\underset{\:\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\:\frac{\mathrm{sin}^{\mathrm{2}} {x}}{\mathrm{sin}\:{x}+\mathrm{cos}\:{x}}\:{dx}\:= \\ $$ Answered by mr W last updated on 09/Aug/19 $$\:{I}=\underset{\:\mathrm{0}}…
Question Number 193391 by DAVONG last updated on 12/Jun/23 Answered by aba last updated on 12/Jun/23 $$\left(\mathrm{1}\right)\:\mathrm{log}_{\mathrm{a}} \left(\mathrm{6}\right)−\mathrm{log}_{\mathrm{a}} \left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{2}}\:\Rightarrow\:\mathrm{log}_{\mathrm{a}} \left(\frac{\mathrm{6}}{\mathrm{x}}\right)=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\Rightarrow\:\mathrm{ln}\left(\frac{\mathrm{6}}{\mathrm{x}}\right)=\mathrm{ln}\left(\sqrt{\mathrm{a}}\right)\:\Rightarrow\:\mathrm{x}=\frac{\mathrm{6}}{\:\sqrt{\mathrm{a}}}\:\checkmark \\ $$ Commented…
Question Number 193375 by Humble last updated on 12/Jun/23 $${Quantitative}\:{Reasoning} \\ $$$${Example}:\:\:{P}_{\mathrm{4}} +{M}_{\mathrm{3}} =\mathrm{16} \\ $$$${M}_{\mathrm{4}} −{P}_{\mathrm{3}} =\mathrm{18},\:{P}_{\mathrm{5}} +{M}_{\mathrm{3}} =\mathrm{2} \\ $$$${Find}: \\ $$$${P}_{\mathrm{6}} +{M}_{\mathrm{4}}…
Question Number 193345 by yaslm last updated on 11/Jun/23 Answered by aleks041103 last updated on 13/Jun/23 $${The}\:{trajectry}\:{of}\:{the}\:{water}\:{is}\:{a}\:{freefall}\:{parabolla} \\ $$$$\Rightarrow{H}=\frac{\mathrm{1}}{\mathrm{2}}{gt}^{\mathrm{2}} \Rightarrow{t}=\sqrt{\frac{\mathrm{2}{H}}{{g}}} \\ $$$${D}={vt}={v}\sqrt{\frac{\mathrm{2}{H}}{{g}}} \\ $$$$\Rightarrow{v}=\sqrt{\frac{{gD}^{\mathrm{2}} }{\mathrm{2}{H}}}…
Question Number 193336 by Abdulz last updated on 10/Jun/23 Commented by Abdulz last updated on 10/Jun/23 $${please},\:{help} \\ $$ Answered by Humble last updated on…
Question Number 193333 by Abdulz last updated on 10/Jun/23 Commented by Abdulz last updated on 10/Jun/23 $${please},\:{help}\:{me}\:{with}\:{the}\:{solutions}. \\ $$$${thanks} \\ $$ Terms of Service Privacy…
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Question Number 193272 by 073 last updated on 09/Jun/23 Answered by aba last updated on 09/Jun/23 $$\mathrm{ln}\left(\frac{\sqrt{\mathrm{2}\pi}}{\mathrm{e}}\right) \\ $$ Answered by aba last updated on…