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Question Number 89461 by student work last updated on 17/Apr/20 Answered by mahdi last updated on 17/Apr/20 $$\mathrm{A}=\mathrm{x}+\frac{\mathrm{y}}{\mathrm{x}+\frac{\mathrm{y}}{\mathrm{x}+\frac{\mathrm{y}}{…}}}\Rightarrow\mathrm{A}=\mathrm{x}+\frac{\mathrm{y}}{\mathrm{A}}\Rightarrow \\ $$$$\mathrm{A}^{\mathrm{2}} =\mathrm{Ax}+\mathrm{y}\Rightarrow\mathrm{A}^{\mathrm{2}} −\mathrm{xA}−\mathrm{y}=\mathrm{0} \\ $$$$\mathrm{A}=\frac{\mathrm{x}+\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{4y}}}{\mathrm{2}}\:\mathrm{or}\:\frac{\mathrm{x}−\sqrt{\mathrm{x}^{\mathrm{2}}…
Question Number 154993 by john_santu last updated on 24/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 154992 by ZiYangLee last updated on 24/Sep/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{of}\: \\ $$$$\mathrm{cos}\:\mathrm{2}\theta\:+\mathrm{cos}\:\theta\:=\:\mathrm{sin}\:\theta \\ $$ Answered by john_santu last updated on 24/Sep/21 Commented by ZiYangLee last…
Question Number 23922 by chernoaguero@gmail.com last updated on 09/Nov/17 $$\boldsymbol{\mathrm{if}}\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}\right)=\mathrm{2}^{\boldsymbol{\mathrm{x}}} \\ $$$$\boldsymbol{\mathrm{show}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}+\mathrm{3}\right)−\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}−\mathrm{1}\right)=\frac{\mathrm{15}}{\mathrm{2}}\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}\right) \\ $$ Answered by $@ty@m last updated on 10/Nov/17 $${f}\left({x}+\mathrm{3}\right)=\mathrm{2}^{{x}+\mathrm{3}} =\mathrm{2}^{{x}} .\mathrm{2}^{\mathrm{3}} =\mathrm{8}.\mathrm{2}^{{x}}…
Question Number 89456 by jagoll last updated on 17/Apr/20 $$\left(\mathrm{log}_{{x}} \left(\mathrm{6}\right)\right)^{\mathrm{2}} \:+\:\left(\mathrm{log}_{\frac{\mathrm{1}}{\mathrm{6}}} \left(\frac{\mathrm{1}}{{x}}\right)\right)^{\mathrm{2}} +\: \\ $$$$\mathrm{log}_{\frac{\mathrm{1}}{\:\sqrt{{x}}}} \left(\frac{\mathrm{1}}{\mathrm{6}}\right)\:+\:\mathrm{log}_{\sqrt{\mathrm{6}}} \:\left({x}\right)\:+\:\frac{\mathrm{3}}{\mathrm{4}}\:=\:\mathrm{0} \\ $$ Answered by john santu last…
Question Number 154994 by mathdanisur last updated on 24/Sep/21 $$\mathrm{Find} \\ $$$$\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\mathrm{x}^{\mathrm{2}} \:\mathrm{tan}^{-\mathrm{1}} \left(\mathrm{2x}\right)\mathrm{ln}^{\mathrm{2}} \left(\mathrm{3x}\right)\mathrm{dx}=? \\ $$ Answered by phanphuoc last updated on…
Question Number 23920 by ajfour last updated on 09/Nov/17 Commented by ajfour last updated on 09/Nov/17 $${Find}\:\boldsymbol{{u}},\:\boldsymbol{\theta}\:{for}\:{a}\:{projecile}\:{in}\:{terms} \\ $$$${of}\:\boldsymbol{{a}},\:\boldsymbol{{b}},\:{and}\:\boldsymbol{{R}}\:{such}\:{that}\:{it} \\ $$$${goes}\:{from}\:{A}\:{to}\:{B}\:{through}\:{M}\:, \\ $$$${the}\:{midpoint}\:{of}\:{upper}\:{edge}. \\ $$$${Assume}\:{the}\:{incline}\:{frictionless}.…
Question Number 154989 by bagjagugum123 last updated on 24/Sep/21 $${x}_{\mathrm{1}} \:{and}\:{x}_{\mathrm{2}} \:{is}\:{root}\:\mathrm{log}_{\mathrm{2}} {x}^{\left(\mathrm{1}+^{\mathrm{2}} \mathrm{log}\:{x}\right)} =\mathrm{2},\:{the}\:{value} \\ $$$${is}\:{x}_{\mathrm{1}} +{x}_{\mathrm{2}} =\:… \\ $$$${a}.\:\mathrm{2}\frac{\mathrm{1}}{\mathrm{4}} \\ $$$${b}.\:\mathrm{2}\frac{\mathrm{1}}{\mathrm{2}} \\ $$$${c}.\:\mathrm{4}\frac{\mathrm{1}}{\mathrm{4}}…
Question Number 89454 by student work last updated on 17/Apr/20 Commented by Tony Lin last updated on 17/Apr/20 $$\mathrm{32}{mod}\mathrm{7}=\mathrm{4} \\ $$$$\mathrm{32}^{\mathrm{2}} {mod}\mathrm{7}=\mathrm{2} \\ $$$$\mathrm{32}^{\mathrm{3}} {mod}\mathrm{7}=\mathrm{1}…