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Question Number 214759 by MATHEMATICSAM last updated on 19/Dec/24 $$\mathrm{If}\:{x}\:=\:{cy}\:+\:{bz},\:{y}\:=\:{cx}\:+\:{az}\:\mathrm{and} \\ $$$${z}\:=\:{bx}\:+\:{ay}\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that} \\ $$$$\frac{{x}}{\:\sqrt{\mathrm{1}\:−\:{a}^{\mathrm{2}} }}\:=\:\frac{{y}}{\:\sqrt{\mathrm{1}\:−\:{b}^{\mathrm{2}} }}\:=\:\frac{{z}}{\:\sqrt{\mathrm{1}\:−\:{c}^{\mathrm{2}} }}\:. \\ $$ Answered by MathematicalUser2357 last updated on…
Question Number 214785 by mathlove last updated on 19/Dec/24 $$\left({x}−\mathrm{3}\right)^{\mathrm{4}} =\mathrm{7}^{\mathrm{4}} \\ $$$${x}=? \\ $$ Answered by Ismoiljon_008 last updated on 19/Dec/24 $$\:\:\:\mid\:{x}\:−\:\mathrm{3}\:\mid\:=\:\mathrm{7} \\ $$$$\:\:\:{x}\:−\:\mathrm{3}\:=\:\mathrm{7}…
Question Number 214753 by BaliramKumar last updated on 18/Dec/24 Commented by BaliramKumar last updated on 19/Dec/24 $${solve}\:{by}\:{computer}\:{programming}\: \\ $$$${for}\:{any}\:{primitive}\:{triplets} \\ $$$${ex}.\:\:\:\:\left({l},\:{b},\:{h}\right)\:\equiv\:\left(\mathrm{2},\:\mathrm{2},\:\mathrm{1}\right)\:\:\&\:\left({a},\:{b},\:{c}\right)\:\equiv\:\left(\mathrm{3},\:\mathrm{4},\:\mathrm{5}\right) \\ $$ Terms of…
Question Number 214658 by ChantalYah last updated on 15/Dec/24 $$\left.\mathrm{1}\right)\:\mathrm{The}\:\mathrm{function}\:\mathrm{H}\:\mathrm{is}\:\mathrm{defined}\:\mathrm{by}\:\mathrm{H}\left(\mathrm{x}\right)\:=\mathrm{3cosh}\frac{\mathrm{x}}{\mathrm{3}}+\mathrm{sinh}\frac{\mathrm{x}}{\mathrm{3}}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\lambda\:\mathrm{for}\:\mathrm{which}\:\mathrm{H}\left(\mathrm{ln}\lambda^{\mathrm{3}} \right)=\mathrm{4} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{Prove}\:\mathrm{that}\:\int_{\mathrm{2}} ^{\mathrm{4}} \:\frac{\mathrm{6x}+\mathrm{1}}{\left(\mathrm{2x}−\mathrm{3}\right)\left(\mathrm{3x}−\mathrm{2}\right)}\mathrm{dx}=\:\mathrm{ln}\:\mathrm{10}. \\ $$$$\left.\mathrm{3}\right)\mathrm{Show}\:\mathrm{that}\:\frac{\mathrm{sin}\theta\:+\:\mathrm{sin2}\theta}{\mathrm{1}+\:\mathrm{cos}\theta+\:\mathrm{cos2}\theta}\equiv\:\mathrm{tan}\theta \\ $$$$\left.\mathrm{4}\right)\:\mathrm{If}\:\mathrm{z}=\mathrm{cos}\theta+\:\mathrm{i}\:\mathrm{sin}\theta,\:\mathrm{Show}\:\mathrm{that}\:\mathrm{z}+\frac{\mathrm{1}}{\mathrm{z}}=\mathrm{2cos}\theta\:\mathrm{and}\:\mathrm{that} \\ $$$$\mathrm{z}^{\mathrm{n}} +\frac{\mathrm{1}}{\mathrm{z}^{\mathrm{n}} }=\mathrm{2cos}\:\mathrm{n}\theta\:\mathrm{hence}\:\mathrm{or}\:\mathrm{otherwise}\:\mathrm{show}\:\mathrm{that}\:…
Question Number 214646 by Ari last updated on 14/Dec/24 Answered by a.lgnaoui last updated on 14/Dec/24 $$\left.\mathrm{a}\right)\mathrm{graph}\:\:\mathrm{x}:\:\:\:\:\mathrm{f}\left(\mathrm{t}\right)=\mathrm{g}\left(\mathrm{t}\right)\:\: \\ $$$$\left.\mathrm{b}\right)\:\boldsymbol{\mathrm{t}}=\mathrm{52}\boldsymbol{\mathrm{mn}}\:\mathrm{56}\boldsymbol{\mathrm{s}} \\ $$ Commented by a.lgnaoui last…
Question Number 214595 by malwan last updated on 13/Dec/24 $$ \\ $$ Commented by malwan last updated on 13/Dec/24 $${I}\:{send}\:{jpg}\:{photo} \\ $$ Commented by malwan…
Question Number 214566 by mr W last updated on 12/Dec/24 $${somebody}\:{has}\:{posted}\:{following} \\ $$$${question}\:{and}\:{then}\:{deleted}\:{it}\:{again}. \\ $$$$\begin{cases}{{u}_{{n}+\mathrm{1}} =\frac{\mathrm{4}{u}_{{n}} −\mathrm{9}}{{u}_{{n}} −\mathrm{2}}}\\{{u}_{\mathrm{0}} =\mathrm{5}}\end{cases} \\ $$$${find}\:{u}_{{n}} =?\:\left({or}\:{something}\:{like}\:{this}\right) \\ $$ Answered…
Question Number 214514 by malwan last updated on 11/Dec/24 $$ \\ $$ Commented by MathematicalUser2357 last updated on 11/Dec/24 $$\mathrm{Notice}\:\mathrm{board}\:\mathrm{miss}…! \\ $$ Commented by mr…
Question Number 214491 by Abdullahrussell last updated on 10/Dec/24 Terms of Service Privacy Policy Contact: info@tinkutara.com