Question Number 7962 by upendrakishor99@gmail.com last updated on 25/Sep/16 $${prove}\:{that}\:\:\:{tanx}<\frac{\mathrm{4}{x}}{\pi}\:{for}\:\mathrm{0}<{x}<\frac{\pi}{\mathrm{4}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7938 by tawakalitu last updated on 24/Sep/16 $${if}\:\:{f}\left({x}\right)\:=\:{xlog}\left({x}\:+\:{r}\right)\:−\:{r}\:\:{and}\:\:{r}^{\mathrm{2}} \:=\:{x}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}} \\ $$$${prove}\:{that}:\:\:{f}_{{xx}} \:+\:{f}_{{yy}} \:\:=\:\:\frac{\mathrm{1}}{{x}\:+\:{r}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7939 by tawakalitu last updated on 24/Sep/16 $${f}\left({x},\:{y}\right)\:=\:{xy}^{\mathrm{3}} \:+\:\mathrm{5}{xy}^{\mathrm{2}} \:+\:\mathrm{2}{x}\:+\:\mathrm{1} \\ $$$${find}:\:\:{f}_{{x}} \:,\:{f}_{{y}} \:,\:{f}_{{xx}} \:,\:{f}_{{yy}} \:,\:{f}_{{xy}} \:,\:{f}_{{yx}} \\ $$ Commented by Rasheed Soomro…
Question Number 7900 by tawakalitu last updated on 23/Sep/16 $${Find}\:{an}\:{equation}\:{of}\:{the}\:{tangent}\:{line}\:{to}\:{the}\:{curve}\: \\ $$$${y}\:=\:{tan}^{\mathrm{2}} {x}\:\:\:{at}\:\:{the}\:{point}\:\:\left(\frac{\pi}{\mathrm{3}},\:\mathrm{3}\right) \\ $$ Commented by sou1618 last updated on 24/Sep/16 $${l}:{tangent}\:{line} \\ $$$$\mathrm{3}={tan}^{\mathrm{2}}…
Question Number 7858 by tawakalitu last updated on 21/Sep/16 $${Find}\:{the}\:{derivative}\:{of}\:\:\:\:{x}^{{sin}\mathrm{2}{x}} \:\:\:{from}\:{the}\: \\ $$$${first}\:{priniple}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138883 by mnjuly1970 last updated on 19/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138851 by bramlexs22 last updated on 19/Apr/21 $${Find}\:{max}\:{value}\:{of}\: \\ $$$${x}^{\mathrm{2}} −\mathrm{3}{xy}−\mathrm{2}{y}^{\mathrm{2}} \:{subject}\:{to}\: \\ $$$${x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}} =\mathrm{1}. \\ $$ Answered by ajfour last updated…
Question Number 138823 by mnjuly1970 last updated on 18/Apr/21 $$\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:……\mathscr{N}{ice}\:\:…\:\mathscr{C}{alculus}…… \\ $$$$\:\:\:\:\:\:\:\mathscr{E}{valuate}::\:\:\:\:\:\boldsymbol{\phi}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{}=? \\ $$ Answered by qaz last updated on 18/Apr/21…
Question Number 138821 by mnjuly1970 last updated on 18/Apr/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…….\:{nice}\:..\:..\:..\:{calculus}…… \\ $$$${find}\:{the}\:{value}\:{of}: \\ $$$$\:\:\:\:\:\:\:\:\:\Theta=\underset{{n}=−\infty\:} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{6}{n}^{\mathrm{2}} +\mathrm{5}{n}+\mathrm{1}}=? \\ $$$$ \\ $$ Commented by Kamel last…
Question Number 138797 by bramlexs22 last updated on 18/Apr/21 $${Let}\:{a},{b},{c}\:{be}\:{positive}\:{constants}. \\ $$$${Among}\:{all}\:{real}\:{number}\:{x}\:{and}\:{y}\: \\ $$$${satisfying}\:{ax}+{by}={c}\:,\:{find}\:{the} \\ $$$${maximum}\:{value}\:{of}\:{product} \\ $$$${xy}. \\ $$ Answered by TheSupreme last updated…