Question Number 103753 by bobhans last updated on 17/Jul/20 $$\rightarrow\begin{cases}{{g}\left({x}\right)=\frac{\mathrm{6}}{{x}−\mathrm{2}}}\\{\left({goh}\right)\left(\mathrm{3}\right)\:=\:\mathrm{17}}\\{{h}\left({x}\right)=\:{ax}^{\mathrm{2}} −\mathrm{1}}\end{cases} \\ $$$${find}\:{the}\:{value}\:{of}\:{a}\: \\ $$ Answered by bemath last updated on 17/Jul/20 Terms of Service…
Question Number 38195 by maxmathsup by imad last updated on 22/Jun/18 $${let}\:{x}\geqslant\mathrm{1}\:{and}\:\delta\left({x}\right)=\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{{x}} } \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:\delta\left({x}\right)\:{interms}\:{of}\:\xi\left({x}\right)\:{if}\:{x}>\mathrm{1} \\ $$$$\left.\mathrm{2}\right){find}\:\:\delta\left(\mathrm{1}\right) \\ $$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}}{\left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{2}} }…
Question Number 38177 by Tinkutara last updated on 22/Jun/18 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 38112 by maxmathsup by imad last updated on 21/Jun/18 $${prove}\:{that}\:\:{arctan}\left({x}\right)=\:\frac{{i}}{\mathrm{2}}{ln}\left(\frac{{i}+{x}}{{i}−{x}}\right)\:{for}\:\mid{x}\mid<\mathrm{1} \\ $$ Commented by prof Abdo imad last updated on 24/Jun/18 $${we}\:{have}\:{i}+{x}={x}+{i}=\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\left(\:\frac{{x}}{\:\sqrt{{x}^{\mathrm{2}}…
Question Number 38109 by maxmathsup by imad last updated on 21/Jun/18 $$\left.\mathrm{1}\right)\:{find}\:\:{S}\left({x}\right)\:=\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{cos}\left({nx}\right)}{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}} \\ $$$$ \\ $$ Commented by…
Question Number 38108 by maxmathsup by imad last updated on 21/Jun/18 $${find}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{2}} } \\ $$ Commented by prof Abdo imad last updated…
Question Number 38024 by Tinkutara last updated on 20/Jun/18 Answered by ajfour last updated on 20/Jun/18 $${f}\left({x}\right)\:<\:\mathrm{0}\:\:{and} \\ $$$$\mathrm{2}{f}\left(\mathrm{sin}\:{x}\right)+\sqrt{\mathrm{2}}{f}\left(−\mathrm{cos}\:{x}\right)=−\mathrm{tan}\:{x} \\ $$$${Then}\:\:{for}\:{x}=\mathrm{150}° \\ $$$$\mathrm{2}{f}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)+\sqrt{\mathrm{2}}{f}\left(\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\right)=\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\:\:\:……\left({i}\right) \\ $$$${for}\:{x}=\:\mathrm{120}°…
Question Number 103458 by bobhans last updated on 15/Jul/20 $$\left(\mathrm{1}\right){If}\:{p}\:{and}\:{q}\:{are}\:{the}\:{roots}\:{quadratic} \\ $$$${equation}\:{x}^{\mathrm{2}} −{x}−\mathrm{4050}\:=\:\mathrm{0}\:,\:{find}\:{the}\:{value} \\ $$$${of}\:{p}^{\mathrm{2}} +{q}\:?\: \\ $$$$\left(\mathrm{2}\right)\:{if}\:{f}\left({x}\right)=\frac{\mathrm{7}{x}+{q}}{\mathrm{2}}\:{and}\:{g}\left({x}\right)=\mathrm{7}{x}+\mathrm{8}\:; \\ $$$$\left({fog}\right)\left(\mathrm{4}\right)\:=\:\mathrm{24}\:.\:{find}\:{the}\:{value}\:{of}\:{q} \\ $$ Answered by bemath…
Question Number 103457 by bobhans last updated on 15/Jul/20 $${f}\left(\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}\right)\:=\:{x}+\mathrm{2}\:{then}\:{what}\:{is}\:{the}\:{domain} \\ $$$${and}\:{range}\:{of}\:{f}^{−\mathrm{1}} \left({x}\right)\:? \\ $$ Answered by Worm_Tail last updated on 15/Jul/20 $$\:\:\:{f}\left(\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}\right)={x}+\mathrm{2} \\ $$$$\:\:\:\left(\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}\right)={f}^{−\mathrm{1}}…
Question Number 37901 by math khazana by abdo last updated on 19/Jun/18 $${let}\:{f}\left({x}\right)=\:\left(\mathrm{1}+{e}^{−{x}} \right)^{{n}} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left({p}\right)} \left({x}\right)\:\:{and}\:{f}^{\left({p}\right)} \left({o}\right) \\ $$$$\left.\mathrm{2}\right){calculate}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{3}\right){developp}\:{f}\:{at}\:{integr}\:{serie}\:. \\ $$…