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Category: Geometry

lim-x-x-2-x-1-x-2-1-lt-

Question Number 7243 by Sh505146@gmail.com last updated on 18/Aug/16 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\sqrt{\left.{x}^{\mathrm{2}} +{x}+\mathrm{1}\right)}−\left(\sqrt{\left.{x}^{\mathrm{2}} +\mathrm{1}\right)}\right.\right. \\ $$$$< \\ $$ Commented by Rasheed Soomro last updated on 18/Aug/16…

Question-72672

Question Number 72672 by mr W last updated on 31/Oct/19 Commented by mr W last updated on 31/Oct/19 $${find}\:{u}_{{min}} \:{for}\:{the}\:{stone}\:{to}\:{hit}\:{the} \\ $$$${ground}\:{behind}\:{the}\:{sphere}. \\ $$$$\left({see}\:{also}\:{Q}\mathrm{72563},\:{with}\:{thanks}\:{to}\:\right. \\…

prove-pi-5-3-2-4-2-1-2-pi-

Question Number 72639 by kennethalli last updated on 31/Oct/19 $${prove}:\frac{\pi}{\mathrm{5}}\left(\mathrm{3}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} =\pi \\ $$ Answered by MJS last updated on 31/Oct/19 $$\mathrm{are}\:\mathrm{you}\:\mathrm{serious}? \\ $$$$\frac{\pi}{\mathrm{5}}\left(\mathrm{3}^{\mathrm{2}}…

Question-138175

Question Number 138175 by ajfour last updated on 10/Apr/21 Commented by ajfour last updated on 10/Apr/21 $${If}\:{the}\:{yellow}\:{and}\:{blue}\:{areas}\:{are} \\ $$$${equal},\:{find}\:{edge}\:{length}\:{of}\:{the} \\ $$$${blue}\:{square}.\:\left({radius}\:{of}\:{circle}=\mathrm{1}\right) \\ $$ Answered by…

Question-7031

Question Number 7031 by Tawakalitu. last updated on 07/Aug/16 Commented by FilupSmith last updated on 07/Aug/16 $${my}\:{attempt} \\ $$$$\mathrm{0}<{x},{y}<\frac{\pi}{\mathrm{2}} \\ $$$${x}<{y} \\ $$$${x}−\mathrm{sin}\left({x}\right)<{y}−\mathrm{sin}\left({y}\right) \\ $$$$\:…