Question Number 213694 by hardmath last updated on 13/Nov/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 213662 by Spillover last updated on 13/Nov/24 Answered by mathmax last updated on 14/Nov/24 $${I}=\int_{\mathrm{0}} ^{\infty} \frac{{x}^{\mathrm{2}} }{\mathrm{1}+{e}^{{x}} }{dx}\:\Rightarrow{I}=\int_{\mathrm{0}} ^{\infty} \frac{{e}^{−{x}} {x}^{\mathrm{2}} }{\mathrm{1}+{e}^{−{x}}…
Question Number 213663 by efronzo1 last updated on 13/Nov/24 $$\:\:\mathrm{Given}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{is}\:\mathrm{natural}\:\mathrm{numbers} \\ $$$$\:\:\mathrm{such}\:\mathrm{that}\:\left(\mathrm{a}−\mathrm{b}\right)\left(\mathrm{b}−\mathrm{c}\right)\left(\mathrm{c}−\mathrm{a}\right)=\mathrm{a}+\mathrm{b}+\mathrm{c}. \\ $$$$\:\:\mathrm{find}\:\mathrm{min}\:\mathrm{value}\:\mathrm{of}\:\mathrm{a}+\mathrm{b}+\mathrm{c}\: \\ $$ Answered by Ghisom last updated on 13/Nov/24 $$\mathrm{let}\:{a}<{b}<{c}\:\left(\:_{{c}<{a}<{b}\:\mathrm{possible}} ^{\mathrm{also}\:{b}<{c}<{a}\:\mathrm{or}}…
Question Number 213688 by Abdullahrussell last updated on 13/Nov/24 Answered by mr W last updated on 13/Nov/24 $${at}\:{x}_{{min}} =−\mathrm{2}: \\ $$$$−\mathrm{2}+{y}=\mathrm{4}\sqrt{{y}+\mathrm{3}} \\ $$$${y}+\mathrm{3}−\mathrm{4}\sqrt{{y}+\mathrm{3}}−\mathrm{5}=\mathrm{0} \\ $$$$\left(\sqrt{{y}+\mathrm{3}}+\mathrm{1}\right)\left(\sqrt{{y}+\mathrm{3}}−\mathrm{5}\right)=\mathrm{0}…
Question Number 213658 by Danielacrsz last updated on 13/Nov/24 $${r}=\frac{\mathrm{112452}−\frac{\left(\mathrm{2108}\right)\left(\mathrm{3820}\right)}{\mathrm{80}}}{\:\sqrt{\mathrm{67778}−\frac{\left(\mathrm{2108}\right)^{\mathrm{2}} }{\mathrm{80}}\sqrt{\mathrm{232470}−\frac{\left(\mathrm{3820}\right)^{\mathrm{2}} }{\mathrm{80}}}}} \\ $$$$ \\ $$$$ \\ $$ Answered by MathematicalUser2357 last updated on 14/Nov/24…
Question Number 213659 by efronzo1 last updated on 13/Nov/24 $$\:\:\:\:\underset{−\infty} {\overset{\infty} {\int}}\:\frac{\mid\mathrm{24x}−\mathrm{24}\mid−\mathrm{20}}{\mathrm{22}^{\mathrm{x}} +\mathrm{22}}\:\mathrm{dx}\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 213680 by issac last updated on 13/Nov/24 Commented by Frix last updated on 13/Nov/24 $$\mathrm{WolframAlpha} \\ $$$$\mathrm{It}'\mathrm{s}\:\mathrm{worthless}\:\mathrm{if}\:\mathrm{you}\:\mathrm{don}'\mathrm{t}\:\mathrm{understand}\:\mathrm{how} \\ $$$$\mathrm{to}\:\mathrm{get}\:\mathrm{there}. \\ $$ Commented by…
Question Number 213679 by issac last updated on 13/Nov/24 $${Q}\mathrm{213662} \\ $$$$…… \\ $$$$\mathrm{Not}\:\mathrm{easy}……. \\ $$$$\:\:_{{p}} \boldsymbol{\mathrm{F}}_{{q}} \left({z};\cancel{\underbrace{ }}\:\boldsymbol{\mathrm{a}},\boldsymbol{\mathrm{b}}\right)\:\mathrm{is}\:\mathrm{hypergeometric}\:\mathrm{function} \\ $$$$\mathrm{Li}_{\nu} \left({z}\right)\:\mathrm{is}\:\mathrm{Dilogarithm}\:\mathrm{function}. \\ $$ Terms…
Question Number 213668 by mr W last updated on 13/Nov/24 Commented by mr W last updated on 13/Nov/24 $${find}\:{shaded}\:{area} \\ $$ Answered by BHOOPENDRA last…
Question Number 213664 by 281981 last updated on 13/Nov/24 Answered by mr W last updated on 13/Nov/24 Commented by mr W last updated on 13/Nov/24…