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Question Number 100482 by Dwaipayan Shikari last updated on 26/Jun/20 $$\sqrt{\mathrm{1}\sqrt{\mathrm{2}\sqrt{\mathrm{3}\sqrt{\mathrm{4}\sqrt{\mathrm{5}\sqrt{\mathrm{6}\sqrt{\mathrm{7}}}}}}}}…..\infty=??????? \\ $$ Answered by floor(10²Eta[1]) last updated on 27/Jun/20 $$\sqrt{\sqrt{\mathrm{1}.\mathrm{2}\sqrt{\mathrm{3}\sqrt{\mathrm{4}\sqrt{\mathrm{5}\sqrt{\mathrm{6}\sqrt{\mathrm{7}…\sqrt{{n}}}}}}}}} \\ $$$$\sqrt{\sqrt{\sqrt{\mathrm{1}.\mathrm{2}^{\mathrm{2}} .\mathrm{3}\sqrt{\mathrm{4}\sqrt{\mathrm{5}\sqrt{\mathrm{6}\sqrt{\mathrm{7}…\sqrt{{n}}}}}}}}} \\…

f-x-cos-x-g-x-2-x-f-R-R-g-R-R-f-x-2-f-pi-2-x-2-log-2-g-x-x-x-0-f-g-x-x-f-g-x-1-x-2-f-pi-2-g-x-1-x-2-find-f-and-g-

Question Number 34845 by candre last updated on 11/May/18 $${f}\left({x}\right)=\mathrm{cos}\left({x}\right) \\ $$$${g}\left({x}\right)=\mathrm{2}^{{x}} \\ $$$${f}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$${g}:\mathbb{R}\rightarrow\mathbb{R}^{+} \\ $$$$\left[{f}\left({x}\right)\right]^{\mathrm{2}} +\left[{f}\left(\pi/\mathrm{2}−{x}\right)\right]^{\mathrm{2}} =\frac{\mathrm{log}_{\mathrm{2}} {g}\left({x}\right)}{{x}};{x}\neq\mathrm{0} \\ $$$${f}\left({g}\left({x}\right){x}\right)=\left[{f}\left({g}\left({x}−\mathrm{1}\right){x}\right)\right]^{\mathrm{2}} +\left[{f}\left(\pi/\mathrm{2}−{g}\left({x}−\mathrm{1}\right){x}\right)\right]^{\mathrm{2}} \\…

a-relation-R-is-defined-on-the-set-of-real-numbers-by-xRy-if-and-only-if-x-y-is-a-multiple-of-3-show-that-R-is-transitive-

Question Number 100295 by hardylanes last updated on 26/Jun/20 $${a}\:{relation}\:{R}\:{is}\:{defined}\:{on}\:{the}\:{set}\:{of}\:{real} \\ $$$${numbers}\:{by}\:{xRy}\:{if}\:{and}\:{only}\:{if}\:{x}−{y}\:{is}\:{a}\: \\ $$$${multiple}\:{of}\:\mathrm{3}.\:{show}\:{that}\:{R}\:{is}\:{transitive} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

The-GCF-of-two-numbers-is-8-and-theirLCM-is-360-if-one-of-the-number-is72-find-the-other-number-

Question Number 165816 by JSM last updated on 08/Feb/22 $$\mathrm{The}\:\mathrm{GCF}\:\mathrm{of}\:\mathrm{two}\:\mathrm{numbers}\:\mathrm{is}\:\mathrm{8}\:\mathrm{and}\: \\ $$$$\mathrm{theirLCM}\:\mathrm{is}\:\mathrm{360}.\mathrm{if}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{number}\: \\ $$$$\mathrm{is72}\:\mathrm{find}\:\mathrm{the}\:\mathrm{other}\:\mathrm{number}. \\ $$ Answered by Ari last updated on 08/Feb/22 $$\left(\mathrm{8}×\mathrm{360}\right)/\mathrm{72}=\mathrm{40} \\…

given-the-sum-of-the-first-n-terms-of-an-A-P-is-n-2-the-sum-of-of-the-first-2n-terms-of-the-same-A-P-is-n-2-n-show-that-the-sum-of-the-first-4n-terms-is-4n-2-8n-4-

Question Number 34707 by mondodotto@gmail.com last updated on 10/May/18 $$\boldsymbol{\mathrm{given}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{first}}\:\boldsymbol{\mathrm{n}}\:\boldsymbol{\mathrm{terms}} \\ $$$$\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{an}}\:\boldsymbol{\mathrm{A}}.\boldsymbol{\mathrm{P}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{n}}^{\mathrm{2}} \:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}} \\ $$$$\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{first}}\:\mathrm{2}\boldsymbol{\mathrm{n}}\:\boldsymbol{\mathrm{terms}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\: \\ $$$$\boldsymbol{\mathrm{same}}\:\boldsymbol{\mathrm{A}}.\boldsymbol{\mathrm{P}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{n}}^{\mathrm{2}} +\boldsymbol{\mathrm{n}}. \\ $$$$\boldsymbol{\mathrm{show}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{first}} \\ $$$$\mathrm{4}\boldsymbol{\mathrm{n}}\:\boldsymbol{\mathrm{terms}}\:\boldsymbol{\mathrm{is}}\:\mathrm{4}\boldsymbol{\mathrm{n}}^{\mathrm{2}} −\mathrm{8}\boldsymbol{\mathrm{n}}+\mathrm{4}. \\ $$…

Find-x-y-R-such-that-x-y-x-2-xy-y-2-7-2-updated-from-2-7-7-2-Sorry-it-was-a-mistake-

Question Number 100240 by Ar Brandon last updated on 25/Jun/20 $$\mathrm{Find}\:\:\left(\mathrm{x},\mathrm{y}\right)\in\mathbb{R}\:\mathrm{such}\:\:\mathrm{that}; \\ $$$$\frac{\mathrm{x}+\mathrm{y}}{\mathrm{x}^{\mathrm{2}} −\mathrm{xy}+\mathrm{y}^{\mathrm{2}} }=\frac{\mathrm{7}}{\mathrm{2}} \\ $$$$ \\ $$$${updated}\:{from}\:\frac{\mathrm{2}}{\mathrm{7}}\rightarrow\frac{\mathrm{7}}{\mathrm{2}}.\:{Sorry},\:{it}\:{was}\:{a}\:{mistake}. \\ $$ Commented by Dwaipayan Shikari…

Question-34639

Question Number 34639 by 255ketto last updated on 09/May/18 Answered by tanmay.chaudhury50@gmail.com last updated on 09/May/18 Commented by tanmay.chaudhury50@gmail.com last updated on 09/May/18 $$\:{the}\:{two}\:{curve}\:{meet}\:{at}\:{two}\:{points}\:{x}<\mathrm{2}\:{andx}<\mathrm{4} \\…