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Question-126786

Question Number 126786 by Ar Brandon last updated on 24/Dec/20 Answered by Olaf last updated on 26/Dec/20 $$\mathrm{C}_{\mathrm{1}} \:=\:\begin{pmatrix}{\mathrm{0}}\\{\mathrm{0}}\end{pmatrix}\:\left(\mathrm{first}\:\mathrm{city}\right) \\ $$$$\mathrm{C}_{\mathrm{2}} \:=\:\begin{pmatrix}{\mathrm{60}\sqrt{\mathrm{2}}−\mathrm{20}}\\{\mathrm{75}+\mathrm{60}\sqrt{\mathrm{2}}}\end{pmatrix}\:\left(\mathrm{second}\:\mathrm{city}\right) \\ $$$$\left(\mathrm{C}_{\mathrm{1}} \mathrm{C}_{\mathrm{2}}…

Question-126778

Question Number 126778 by Ar Brandon last updated on 24/Dec/20 Answered by Dwaipayan Shikari last updated on 24/Dec/20 $$\sqrt{\left(\overset{\rightarrow} {{A}}_{\mathrm{1}} \right)^{\mathrm{2}} +\left(\overset{\rightarrow} {{A}}_{\mathrm{2}} \right)^{\mathrm{2}} +\mathrm{2}\mid\overset{\rightarrow}…

Question-61241

Question Number 61241 by Tawa1 last updated on 30/May/19 Answered by meme last updated on 30/May/19 $${the}\:{larger}\:{is}\:{A}\:{because}\:\mathrm{4}^{\mathrm{2015}} −\mathrm{2}^{\mathrm{2015}} +\mathrm{1}<\mathrm{4}^{\mathrm{2015}} +\mathrm{2}^{\mathrm{2015}} +\mathrm{1} \\ $$$$ \\ $$…

let-consider-u-n-such-as-u-0-0-1-and-u-n-1-u-n-u-n-2-1-Prove-that-lim-n-n-u-n-1-and-that-the-convergence-domain-of-u-n-x-n-is-D-1-1-2-Prove-that-the-one-of-u-n-2-x-n

Question Number 126777 by snipers237 last updated on 24/Dec/20 $$\left.{let}\:{consider}\:\left({u}_{{n}} \right)\:{such}\:{as}\:{u}_{\mathrm{0}} \in\right]\mathrm{0};\mathrm{1}\left[\:{and}\:{u}_{{n}+\mathrm{1}} ={u}_{{n}} −{u}_{{n}} ^{\mathrm{2}} \:\right. \\ $$$$\left.\mathrm{1}\right){Prove}\:{that}\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:^{{n}} \sqrt{{u}_{{n}} }\:=\:\mathrm{1}\:{and}\:{that}\:{the}\:{convergence}\:{domain}\:{of}\:\Sigma{u}_{{n}} {x}^{{n}} \: \\ $$$${is}\:\:{D}=\left[−\mathrm{1};\mathrm{1}\left[\:\right.\right.…

x-2-4-x-2-4-2-dx-

Question Number 61240 by Tawa1 last updated on 30/May/19 $$\int\:\frac{\mathrm{x}^{\mathrm{2}\:} −\:\mathrm{4}}{\left(\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{4}\right)^{\mathrm{2}} }\:\mathrm{dx} \\ $$ Commented by maxmathsup by imad last updated on 31/May/19 $${let}\:{A}\:=\int\:\:\frac{{x}^{\mathrm{2}}…

Question-61235

Question Number 61235 by ajfour last updated on 30/May/19 Commented by ajfour last updated on 30/May/19 $${Find}\:{h}\:{and}\:{R}\:{of}\:{maximum}\:{volume} \\ $$$$\:{inscribed}\:{cylinder}\:{with}\:{its}\:{base}\:{on} \\ $$$${face}\:{ABC}\:{of}\:{a}\:{general}\:{pyramid}. \\ $$ Commented by…