Question Number 170579 by mnjuly1970 last updated on 27/May/22 $$ \\ $$$$\:\:\:{prove} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:\mathrm{1}}{\:\:\mathrm{F}_{{n}} }\:<\:\mathrm{4}\:\:\:\:\:\:\mathrm{F}_{{n}} :\:{fibonacci}\:{sequence} \\ $$ Terms of Service…
Question Number 170566 by cortano1 last updated on 27/May/22 $$\:\:\mathrm{Find}\:\mathrm{min}\:\mathrm{value}\: \\ $$$$\:\:{f}\left({x}\right)=\:\left({x}+\mathrm{4}\right)\left({x}+\mathrm{5}\right)\left({x}+\mathrm{6}\right)\left({x}+\mathrm{7}\right) \\ $$ Answered by som(math1967) last updated on 27/May/22 $$\left({x}+\mathrm{4}\right)\left({x}+\mathrm{7}\right)\left({x}+\mathrm{5}\right)\left({x}+\mathrm{6}\right) \\ $$$$\left({x}^{\mathrm{2}} +\mathrm{11}{x}+\mathrm{28}\right)\left({x}^{\mathrm{2}}…
Question Number 39475 by Raj Singh last updated on 06/Jul/18 Answered by tanmay.chaudhury50@gmail.com last updated on 07/Jul/18 $$\:{calculatiin}\:{of}\:{slope}\:{at}\:\left({a},{b}\right)\:{w}.{r}.{t}\:\frac{{x}}{{a}}+\frac{{y}}{{b}}=\mathrm{2}\:{is} \\ $$$$\frac{\mathrm{1}}{{a}}+\frac{\frac{{dy}}{{dx}}}{{b}}=\mathrm{0} \\ $$$$\frac{{dy}}{{dx}}=−\frac{{b}}{{a}} \\ $$$${calculation}\:{of}\:{slope}\:{w}.{r}.{t}\:\frac{{x}^{{n}} }{{a}^{{n}}…
Question Number 39470 by Raj Singh last updated on 06/Jul/18 Commented by maxmathsup by imad last updated on 07/Jul/18 $${x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \:=\mathrm{1}\:\Rightarrow{y}^{\mathrm{2}} =\mathrm{1}−{x}^{\mathrm{2}} \:\Rightarrow\mathrm{1}−{x}^{\mathrm{2}} \:=\mathrm{4}{x}−\mathrm{4}\:\Rightarrow{x}^{\mathrm{2}}…
Question Number 39469 by Raj Singh last updated on 06/Jul/18 Answered by tanmay.chaudhury50@gmail.com last updated on 07/Jul/18 $${let}\:{point}\:{be}\:\alpha\:,\beta \\ $$$${calculation}\:{of}\:{slope}\:{is}\: \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{1}}{\:\sqrt{{x}}}+\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{1}}{\:\sqrt{{y}}}×\frac{{dy}}{{dx}}=\mathrm{0} \\ $$$$\frac{{dy}}{{dx}}=−\frac{\sqrt{{y}}\:}{\:\sqrt{{x}}} \\…
Question Number 39466 by Raj Singh last updated on 06/Jul/18 Commented by MJS last updated on 06/Jul/18 $${y}={x}^{\mathrm{3}} −{x}^{\mathrm{2}} \:\mathrm{has}\:\mathrm{no}\:\mathrm{vertical}\:\mathrm{tangent} \\ $$ Terms of Service…
Question Number 39457 by Raj Singh last updated on 06/Jul/18 Answered by MrW3 last updated on 06/Jul/18 $${y}={f}\left({x}\right)={b}\:{e}^{−\frac{{x}}{{a}}} \\ $$$${f}\left(\mathrm{0}\right)={b} \\ $$$${y}'={f}'\left({x}\right)=−\frac{{b}}{{a}}\:{e}^{−\frac{{x}}{{a}}} \\ $$$${f}'\left(\mathrm{0}\right)=−\frac{{b}}{{a}} \\…
Question Number 104939 by ~blr237~ last updated on 24/Jul/20 $$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\:\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{\left({n}+\mathrm{1}\right)!\left(\mathrm{2}{n}+\mathrm{1}\right)}\:=\:\frac{\sqrt{\pi}}{\mathrm{2}}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 104927 by bobhans last updated on 24/Jul/20 $$\int\frac{{dx}}{\mathrm{1}+{x}+{x}^{\mathrm{2}} } \\ $$ Answered by Dwaipayan Shikari last updated on 24/Jul/20 $$\int\frac{{dx}}{\left({x}+\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} +\left(\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\right)^{\mathrm{2}} }=\:\frac{\mathrm{2}}{\:\sqrt{\mathrm{3}}}{tan}^{−\mathrm{1}} \frac{\mathrm{2}{x}+\mathrm{1}}{\:\sqrt{\mathrm{3}}}+{C}…
Question Number 104860 by ~blr237~ last updated on 24/Jul/20 $$\left(\mathrm{1}−{aT}\right)\left(\mathrm{1}−{bT}\right)…..\left(\mathrm{1}−{yT}\right)\left(\mathrm{1}−{zT}\right)\:\:\:\:???? \\ $$ Answered by ~blr237~ last updated on 24/Jul/20 $${Just}\:\:{to}\:{smile}\::\:{if}\:{we}\:{remember}\:{the}\:{formula}\:{of}\:{the}\:{frequency}\:\:\:{f}=\frac{\mathrm{1}}{{T}}\:\:{then}\:\:\mathrm{1}−{fT}=\mathrm{0}\: \\ $$$${And}\:{that}\:{product}\:{will}\:{be}\:{null} \\ $$ Commented…