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Question-202566

Question Number 202566 by MASANJAJJ last updated on 29/Dec/23 Answered by Rasheed.Sindhi last updated on 29/Dec/23 $${Selling}\:{price}\:{of}\:{one}\:{tshirt}:\mathrm{7500}+{p} \\ $$$${where}\:{p}>\mathrm{0}\:{is}\:{profit}\:{per}\:{tshirt}\: \\ $$$${Let}\:{n}\:{tshirts}\:{are}\:{sold};\:{n}\in\mathbb{N} \\ $$$${Total}\:{sell}={n}\left(\mathrm{7500}+{p}\right) \\ $$$${Commission}\:{of}\:{Mr}\:{Tony}:…

lim-x-x-ln-x-2-1-1-e-x-3-

Question Number 202466 by Rydel last updated on 27/Dec/23 $$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\frac{{x}\sqrt{\mathrm{ln}\:\left({x}^{\mathrm{2}} +\mathrm{1}\right)}}{\mathrm{1}+{e}^{{x}−\mathrm{3}} } \\ $$ Answered by Mathspace last updated on 27/Dec/23 $$={lim}_{{x}\rightarrow+\infty} {xe}^{−{x}+\mathrm{3}} \sqrt{{ln}\left(\mathrm{1}+{x}^{\mathrm{2}}…

Question-202393

Question Number 202393 by sonukgindia last updated on 26/Dec/23 Answered by Mathspace last updated on 26/Dec/23 $${I}=\int_{\mathrm{0}} ^{\infty} \frac{{lnx}}{{a}+{bx}^{\mathrm{2}} }{dx}\:\:\:\:\:\:\:\:\:\left({a}>\mathrm{0},{b}>\mathrm{0}\right) \\ $$$${I}=\frac{\mathrm{1}}{{a}}\int_{\mathrm{0}} ^{\infty} \frac{{lnx}}{\mathrm{1}+\frac{{b}}{{a}}{x}^{\mathrm{2}} }{dx}\:\:\left(\sqrt{\frac{{b}}{{a}}}{x}={t}\right)…

rationnalise-le-denominateur-de-x-2-1-3-1-1-3-2-3-4-

Question Number 202447 by maths_plus last updated on 26/Dec/23 $$\mathrm{rationnalise}\:\mathrm{le}\:\mathrm{denominateur}\:\mathrm{de}\: \\ $$$$\mathrm{x}\:=\:\frac{\sqrt[{\mathrm{3}\:}]{\mathrm{2}}−\mathrm{1}}{\mathrm{1}−^{\mathrm{3}} \sqrt{\mathrm{2}}+^{\mathrm{3}} \sqrt{\mathrm{4}}} \\ $$ Answered by cortano12 last updated on 27/Dec/23 $$\:{a}^{\mathrm{3}} +{b}^{\mathrm{3}}…