Question Number 154940 by mnjuly1970 last updated on 23/Sep/21 Answered by john_santu last updated on 23/Sep/21 Commented by mnjuly1970 last updated on 24/Sep/21 $${grateful}\:…{very}\:{nice}\:{solution}. \\…
Question Number 89270 by jagoll last updated on 16/Apr/20 $${what}\:{is}\:{the}\:{maximum}\: \\ $$$${perimeter}\:{of}\:{a}\:{parallelogram}\: \\ $$$${ABCD}\:{which}\:{inscribed}\:{the}\: \\ $$$${ellipse}\:\frac{{x}^{\mathrm{2}} }{\mathrm{4}}\:+\:{y}^{\mathrm{2}} \:=\:\mathrm{1}\:? \\ $$ Terms of Service Privacy Policy…
Question Number 23522 by gopikrishnan005@gmail.com last updated on 01/Nov/17 $${the}\:{particular}\:{integral}\:{of}\:{the}\:{differential}\:{equation}\:{f}\left({D}\right){y}={e}^{{ax}} {where}\:{f}\left({D}\right)=\left({D}−{a}\right){g}\left({D}\right),{g}\left({a}\right)\neq\mathrm{0}\:{is} \\ $$ Commented by 1kanika# last updated on 26/Nov/17 $$\mathrm{xe}\Lambda\mathrm{ax}/\mathrm{g}\left(\mathrm{a}\right) \\ $$ Terms of…
Question Number 23431 by gopikrishnan005@gmail.com last updated on 30/Oct/17 $${If}\:{X}\:{is}\:{a}\:{discrete}\:{random}\:{variable}\:{then}\:{p}\left({X}\geqslant{a}\right)= \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 23428 by gopikrishnan005@gmail.com last updated on 30/Oct/17 $${the}\:{curve}\:{ay}^{\mathrm{2}} ={x}^{\mathrm{2}} \left(\mathrm{3}{a}−{x}\right)\:{cuts}\:{the}\:{y}-{axis}\:{at} \\ $$ Answered by $@ty@m last updated on 30/Oct/17 $${orogin} \\ $$ Answered…
Question Number 23429 by gopikrishnan005@gmail.com last updated on 30/Oct/17 $${An}\:{asymptote}\:{to}\:{the}\:{curve}\:{y}^{\mathrm{2}} \left(\mathrm{1}+{x}\right)={x}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)\:{is} \\ $$ Commented by FilupES last updated on 31/Oct/17 $${y}^{\mathrm{2}} =\frac{{x}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)}{\left(\mathrm{1}+{x}\right)} \\…
Question Number 154478 by mnjuly1970 last updated on 18/Sep/21 $$ \\ $$$$ \\ $$$$\:\:{prove}\:{that}\:# \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:{sin}^{\:\mathrm{3}} \left(\:{x}\:\right).{ln}\left(\:{x}\:\right)}{{x}}\:{dx}\:\overset{?} {=}\:\frac{\pi}{\mathrm{8}}\:\left(−\mathrm{2}\gamma\:+{ln}\left(\mathrm{3}\right)\right)\:…..\blacksquare\:{m}.{n}\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\: \\ $$$$ \\…
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Question Number 154058 by mnjuly1970 last updated on 13/Sep/21 Answered by qaz last updated on 14/Sep/21 $$\mathrm{I}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{xsin}\:\left(\mathrm{lnx}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx} \\ $$$$=−\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{e}^{−\mathrm{2u}} \mathrm{sin}\:\mathrm{u}}{\mathrm{1}+\mathrm{e}^{−\mathrm{2u}}…
Question Number 153956 by liberty last updated on 12/Sep/21 $$\:{Max}\:\&\:{min}\:{value}\:{of}\:{function} \\ $$$$\:{f}\left({x}\right)=\sqrt{\mathrm{6}−{x}}\:+\sqrt{\mathrm{12}+{x}}\:. \\ $$ Answered by EDWIN88 last updated on 12/Sep/21 $$\:{domain}\:{of}\:{f}\left({x}\right)\:=\:\left[−\mathrm{12},\mathrm{6}\:\right] \\ $$$${by}\:{Chaucy}\:−{Schward}\:{inequality} \\…