Question Number 79001 by gopikrishnan last updated on 22/Jan/20 $${In}\:{a}\:{binomial}\:{distribution}\:{with}\:{mean}\:\mathrm{4}\:{and}\:{the}\:{probability}\:{of}\:{success}\:{is}\:\mathrm{1}/\mathrm{3},\:{then}\:{the}\:{number}\:{of}\:{trials}\:{is} \\ $$ Commented by jagoll last updated on 22/Jan/20 $$\mathrm{mean}\:=\:\mathrm{n}×\mathrm{p} \\ $$$$\mathrm{4}=\:\mathrm{n}×\frac{\mathrm{1}}{\mathrm{3}}\:\Rightarrow\mathrm{n}\:=\:\mathrm{12} \\ $$ Commented…
Question Number 78999 by gopikrishnan last updated on 22/Jan/20 $${if}\:{dy}/{dx}+{y}=\mathrm{1}+{y}/{x},{then}\:{the}\:{integrating}\:{factor}\:\left({I},{F}\right)\:{is} \\ $$ Commented by mr W last updated on 22/Jan/20 $${please}\:{don}'{t}\:{type}\:{the}\:{whole}\:{post}\:{in}\:{a} \\ $$$${single}\:{line}\:{sir}! \\ $$$$…
Question Number 144517 by Khalmohmmad last updated on 26/Jun/21 Answered by som(math1967) last updated on 26/Jun/21 $${a}^{\mathrm{4}} +{b}^{\mathrm{4}} +\mathrm{2}{a}^{\mathrm{2}} {b}^{\mathrm{2}} −\left({a}^{\mathrm{2}} +{b}^{\mathrm{2}} \right)−\mathrm{6}=\mathrm{0} \\ $$$$\left({a}^{\mathrm{2}}…
Question Number 144509 by phally last updated on 26/Jun/21 $$ \\ $$$${S}_{{n}} =\frac{{Cos}\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }+\frac{{Cos}\mathrm{2}}{\mathrm{2}^{\mathrm{2}} }+\frac{{Cos}\mathrm{3}}{\mathrm{3}^{\mathrm{2}} }+…+\frac{{Cosn}}{{n}^{\mathrm{2}} } \\ $$$${Indicates}\:{that}\:{S}_{{n}\:} \:{is}\:{a}\:{cauchy}\:{suite}? \\ $$ Terms of Service…
Question Number 144515 by Khalmohmmad last updated on 26/Jun/21 $${S}_{\mathrm{15}} −{S}_{\mathrm{25}} =\mathrm{150} \\ $$$${S}_{\mathrm{30}} =? \\ $$ Commented by MJS_new last updated on 27/Jun/21 $$\mathrm{there}\:\mathrm{are}\:\mathrm{at}\:\mathrm{least}\:\mathrm{3}\:{S}\mathrm{s}:\:{S}_{\mathrm{15}}…
Question Number 144484 by phally last updated on 25/Jun/21 Answered by Olaf_Thorendsen last updated on 25/Jun/21 $$\mathrm{S}_{{n}} \:=\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{{k}\left({k}+\mathrm{2}\right)}{\left({k}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$$$\mathrm{S}_{{n}} \:=\:\underset{{k}=\mathrm{2}} {\overset{{n}+\mathrm{1}}…
Question Number 144473 by SOMEDAVONG last updated on 25/Jun/21 $$\mathrm{L}=\underset{{x}\rightarrow\frac{\pi}{\mathrm{3}}} {\mathrm{lim}}\frac{\mathrm{8cos}^{\mathrm{2}} \mathrm{5x}+\mathrm{2cosx}−\mathrm{3}}{\mathrm{4cos}^{\mathrm{2}} \mathrm{5x}+\mathrm{8cosx}−\mathrm{5}}\:\:=? \\ $$ Answered by mathmax by abdo last updated on 25/Jun/21 $$\mathrm{L}=\mathrm{lim}_{\mathrm{x}\rightarrow\frac{\pi}{\mathrm{3}}}…
Question Number 144474 by SOMEDAVONG last updated on 26/Jun/21 $$\mathrm{A}=\sqrt{\mathrm{1}+\sqrt{\mathrm{7}+\sqrt{\mathrm{1}+\sqrt{\mathrm{7}+\sqrt{\mathrm{1}+\sqrt{\mathrm{7}+………..}}}}}} \\ $$ Answered by mr W last updated on 25/Jun/21 $${x}=\sqrt{\mathrm{1}+\sqrt{\mathrm{7}+{x}}} \\ $$$$\left({x}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} =\mathrm{7}+{x}…
Question Number 144463 by lapache last updated on 25/Jun/21 $${Determiner}\:{l}'{original}\:{de}\:{laplace} \\ $$$${F}\left({p}\right)=\frac{\mathrm{1}}{\left({p}^{\mathrm{2}} +{p}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Answered by Olaf_Thorendsen last updated on 27/Jun/21 $${F}\left({p}\right)\:=\:\frac{\mathrm{1}}{\left({p}^{\mathrm{2}} +{p}+\mathrm{1}\right)^{\mathrm{2}}…
Question Number 78894 by gopikrishnan last updated on 21/Jan/20 $${if}\:{U}={x}^{\mathrm{3}} +{y}^{\mathrm{3}} +\mathrm{6}\:{sinz}+\mathrm{11}\:{then}\:{u}_{{z}} \left(\mathrm{1},\mathrm{0},{pi}\right)\:{is} \\ $$ Commented by mathmax by abdo last updated on 22/Jan/20 $${U}\left({x},{y},{z}\right)\:={x}^{\mathrm{3}}…