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Author: Tinku Tara

Calculer-lim-x-2-x-2-x-2-6-x-2-

Question Number 216316 by a.lgnaoui last updated on 03/Feb/25 $$\mathrm{Calculer} \\ $$$$\mathrm{lim}_{\boldsymbol{\mathrm{x}}\rightarrow−\mathrm{2}} \frac{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{x}}−\mathrm{2}}{\:\sqrt{\mathrm{6}+\boldsymbol{\mathrm{x}}}\:−\mathrm{2}} \\ $$ Answered by A5T last updated on 03/Feb/25 $$\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{x}−\mathrm{2}}{\:\sqrt{\mathrm{6}+\mathrm{x}}−\mathrm{2}}=\frac{\left(\mathrm{x}+\mathrm{2}\right)\left(\mathrm{x}−\mathrm{1}\right)\left(\sqrt{\mathrm{6}+\mathrm{x}}+\mathrm{2}\right)}{\mathrm{2}+\mathrm{x}}…

If-ab-2-bc-2-ca-2-0-then-find-a-b-b-c-b-c-c-a-c-a-a-b-2-

Question Number 216312 by MATHEMATICSAM last updated on 03/Feb/25 $$\mathrm{If}\:{ab}^{\mathrm{2}} \:+\:{bc}^{\mathrm{2}} \:+\:{ca}^{\mathrm{2}} \:=\:\mathrm{0}\:\mathrm{then}\:\mathrm{find}\: \\ $$$$\left(\frac{{a}}{{b}}\:+\:\frac{{b}}{{c}}\right)\:+\:\left(\frac{{b}}{{c}}\:+\:\frac{{c}}{{a}}\right)\:+\:\left(\frac{{c}}{{a}}\:+\:\frac{{a}}{{b}}\right)\:+\:\mathrm{2}. \\ $$ Answered by Rasheed.Sindhi last updated on 03/Feb/25 $${ab}^{\mathrm{2}}…

if-i-have-7200-coin-and-Each-A-B-C-are-500-coin-at-this-time-how-many-Should-i-buy-each-so-that-i-can-buy-as-many-possible-

Question Number 216284 by issac last updated on 02/Feb/25 $$\mathrm{if}\:\mathrm{i}\:\mathrm{have}\:\mathrm{7200}\:\mathrm{coin} \\ $$$$\mathrm{and}\:\mathrm{Each}\:\boldsymbol{\mathrm{A}},\boldsymbol{\mathrm{B}},\boldsymbol{\mathrm{C}}\:\mathrm{are}\:\mathrm{500}\:\mathrm{coin} \\ $$$$\mathrm{at}\:\mathrm{this}\:\mathrm{time}\:\mathrm{how}\:\mathrm{many}\:\mathrm{Should} \\ $$$$\mathrm{i}\:\mathrm{buy}\:\mathrm{each}\:\mathrm{so}\:\mathrm{that}\:\mathrm{i}\:\mathrm{can}\:\mathrm{buy}\:\mathrm{as}\:\mathrm{many} \\ $$$$\mathrm{possible}??? \\ $$ Commented by AntonCWX last updated…

If-b-c-x-c-a-y-a-b-z-0-then-prove-that-b-c-y-z-c-a-z-x-a-b-x-y-

Question Number 216270 by MATHEMATICSAM last updated on 02/Feb/25 $$\mathrm{If}\:\left({b}\:−\:{c}\right){x}\:+\:\left({c}\:−\:{a}\right){y}\:+\:\left({a}\:−\:{b}\right){z}\:=\:\mathrm{0}\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{b}\:−\:{c}}{{y}\:−\:{z}}\:=\:\frac{{c}\:−\:{a}}{{z}\:−\:{x}}\:=\:\frac{{a}\:−\:{b}}{{x}\:−\:{y}}\:. \\ $$ Answered by Rasheed.Sindhi last updated on 02/Feb/25 $$\mathrm{If}\:\left({b}\:−\:{c}\right){x}\:+\:\left({c}\:−\:{a}\right){y}\:+\:\left({a}\:−\:{b}\right){z}\:=\:\mathrm{0}\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{b}\:−\:{c}}{{y}\:−\:{z}}\:=\:\frac{{c}\:−\:{a}}{{z}\:−\:{x}}\:=\:\frac{{a}\:−\:{b}}{{x}\:−\:{y}}\:. \\…

Prove-0-pi-2-d-0-pi-2-f-sin-cos-sin-d-pi-2-0-1-f-x-dx-

Question Number 216281 by MrGaster last updated on 02/Feb/25 $$\mathrm{Prove}:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {d}\phi\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {f}\left(\mathrm{sin}\theta\:\mathrm{cos}\:\theta\right)\mathrm{sin}\theta\:{d}\theta=\frac{\pi}{\mathrm{2}}\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx} \\ $$ Commented by mr W last updated on…