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Author: Tinku Tara

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Question Number 220377 by SdC355 last updated on 12/May/25 $$\mathrm{Prove}\:\mathrm{equation} \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \:{f}\left({u}\right)\mathrm{g}\left({u}\right){e}^{−{u}\rho} \mathrm{d}{u}=\frac{\mathrm{1}}{\mathrm{2}\pi\boldsymbol{{i}}}\:\int_{−\infty\boldsymbol{{i}}+\boldsymbol{\gamma}} ^{\:+\infty\boldsymbol{{i}}+\boldsymbol{\gamma}} \:\:{F}\left({u}\right){G}\left({u}−\rho\right)\mathrm{d}{u} \\ $$$${F}\left({u}\right)=\int_{\mathrm{0}} ^{\:\infty} \:{f}\left({t}\right){e}^{−{ut}} \mathrm{d}{t} \\ $$$${G}\left({u}\right)=\int_{\mathrm{0}} ^{\:\infty}…

Question-220375

Question Number 220375 by Tawa11 last updated on 12/May/25 Commented by Tawa11 last updated on 12/May/25 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{and}\:\mathrm{perimeter}. \\ $$$$\mathrm{Please},\:\mathrm{is}\:\mathrm{the}\:\mathrm{question}\:\mathrm{correct}? \\ $$ Commented by AntonCWX8 last…

Question-220340

Question Number 220340 by Noorzai last updated on 11/May/25 Answered by som(math1967) last updated on 11/May/25 $$\:{b}^{\mathrm{2}} {a}−{a}^{\mathrm{2}} {b}+{c}^{\mathrm{2}} {b}−{c}^{\mathrm{2}} {a}+{b}^{\mathrm{2}} {c}−{a}^{\mathrm{2}} {c} \\ $$$$={ba}\left({b}−{a}\right)+{c}^{\mathrm{2}}…

solve-the-system-of-equation-using-gaussian-elimination-method-x-2y-3z-10-2x-3y-z-1-3x-y-2z-9-

Question Number 220366 by klipto last updated on 11/May/25 $$\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{system}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{equation}} \\ $$$$\boldsymbol{\mathrm{using}}\:\boldsymbol{\mathrm{gaussian}}\:\boldsymbol{\mathrm{elimination}}\:\boldsymbol{\mathrm{method}} \\ $$$$\boldsymbol{\mathrm{x}}+\mathrm{2}\boldsymbol{\mathrm{y}}+\mathrm{3}\boldsymbol{\mathrm{z}}=\mathrm{10} \\ $$$$\mathrm{2}\boldsymbol{\mathrm{x}}−\mathrm{3}\boldsymbol{\mathrm{y}}+\boldsymbol{\mathrm{z}}=\mathrm{1} \\ $$$$\mathrm{3}\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{y}}−\mathrm{2}\boldsymbol{\mathrm{z}}=\mathrm{9} \\ $$ Answered by Frix last updated…