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Author: Tinku Tara

1-x-2-2016x-dx-

Question Number 71175 by 20190927 last updated on 12/Oct/19 $$\int\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} +\mathrm{2016x}}\mathrm{dx} \\ $$ Commented by Prithwish sen last updated on 12/Oct/19 $$\int\frac{\mathrm{dx}}{\left(\mathrm{x}+\mathrm{1008}\right)^{\mathrm{2}} −\left(\mathrm{1008}\right)^{\mathrm{2}} }\:\:\:\:\:\:\boldsymbol{\mathrm{put}}\:\boldsymbol{\mathrm{x}}+\mathrm{1008}\:=\:\boldsymbol{\mathrm{t}} \\…

find-fhe-range-f-x-4-1-x-

Question Number 71172 by aliesam last updated on 12/Oct/19 $${find}\:{fhe}\:{range} \\ $$$$ \\ $$$${f}\left({x}\right)=\frac{\mathrm{4}}{\mathrm{1}+\sqrt{{x}}} \\ $$ Commented by kaivan.ahmadi last updated on 12/Oct/19 $$\sqrt{{x}}\geqslant\mathrm{0}\Rightarrow\mathrm{1}+\sqrt{{x}}\geqslant\mathrm{1}\Rightarrow\frac{\mathrm{4}}{\mathrm{1}+\sqrt{{x}}}\leqslant\mathrm{4} \\…

Question-71170

Question Number 71170 by mr W last updated on 12/Oct/19 Commented by mr W last updated on 12/Oct/19 $${Question}\:#\mathrm{49583}\:\left({reposted}\right) \\ $$$${in}\:{a}\:{paraboloid}\:{cup},\:{which}\:{is}\:{absolutely} \\ $$$${smooth},\:{a}\:{stick}\:{remains}\:{in}\:{equilibrium} \\ $$$${as}\:{shown}.\:{find}\:{the}\:{maximum}\:{length}…

Question-5632

Question Number 5632 by sanusihammed last updated on 23/May/16 Answered by FilupSmith last updated on 23/May/16 $$\mathrm{Exterior}\:\mathrm{angles}\:=\:\mathrm{360}^{\mathrm{o}} \\ $$$$\mathrm{2}{x}+\mathrm{3}{x}+{x}−\mathrm{40}+{x}+\mathrm{10}+{x}−\mathrm{60}=\mathrm{360} \\ $$$$\mathrm{8}{x}−\mathrm{90}=\mathrm{360} \\ $$$$\mathrm{8}{x}=\mathrm{450} \\ $$$${x}=\frac{\mathrm{450}}{\mathrm{8}}…