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Question-146030

Question Number 146030 by Khalmohmmad last updated on 10/Jul/21 Commented by mr W last updated on 10/Jul/21 $${F}\left(\mathrm{0}\right)=\frac{\mathrm{2}×\mathrm{0}×{F}\left(−\mathrm{1}\right)}{\mathrm{0}+\mathrm{1}}=\mathrm{0} \\ $$$${F}\left(\mathrm{1}\right)=\frac{\mathrm{2}×\mathrm{1}×{F}\left(\mathrm{0}\right)}{\mathrm{1}+\mathrm{1}}={F}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$${but}\:{F}\left(\mathrm{1}\right)=\mathrm{1}\:{is}\:{given}. \\ $$$$\Rightarrow{question}\:{is}\:{wrong}! \\…

Question-146017

Question Number 146017 by Khalmohmmad last updated on 10/Jul/21 Answered by Olaf_Thorendsen last updated on 10/Jul/21 $${F}\left({x}\right)+{F}\left({y}\right)\:=\:{F}\left({x}\right){F}\left({y}\right)\:\:\:\left(\mathrm{1}\right) \\ $$$${x}\:=\:{y}\:\Rightarrow\:\mathrm{2}{F}\left({x}\right)\:=\:{F}^{\mathrm{2}} \left({x}\right)\:\Leftrightarrow\:{F}\left({x}\right)\left({F}\left({x}\right)−\mathrm{2}\right)\:=\:\mathrm{0} \\ $$$$\forall{x},\:{F}\left({x}\right)\:=\:\mathrm{0}\:\mathrm{or}\:\mathrm{2}\::\:\mathrm{impossible} \\ $$$$\mathrm{because}\:\mathrm{F}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)\:=\:\frac{\mathrm{3}}{\mathrm{2}} \\…

let-f-x-be-a-function-period-2pi-such-that-f-x-x-0-lt-x-lt-pi-pi-pi-lt-x-lt-2pi-show-that-the-fourier-series-for-f-x-in-the-interval-0-lt-x-lt-2pi-is-3pi-4-2-pi-cosx-

Question Number 145981 by Gbenga last updated on 10/Jul/21 $${let}\:{f}\left({x}\right)\:{be}\:{a}\:{function}\:{period}\:\mathrm{2}\pi\:{such}\:{that}:{f}\left({x}\right)=\left\{{x},\:\mathrm{0}<{x}<\pi\right. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left\{\pi,\:\pi<{x}<\mathrm{2}\pi\right. \\ $$$${show}\:{that}\:{the}\:{fourier}\:{series}\:{for}\:{f}\left({x}\right)\:{in}\:{the}\:{interval}\:\mathrm{0}<{x}<\mathrm{2}\pi\:{is} \\ $$$$\frac{\mathrm{3}\pi}{\mathrm{4}}−\frac{\mathrm{2}}{\pi}\left[{cosx}+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }{cos}\mathrm{3}{x}+\frac{\mathrm{1}}{\mathrm{5}^{\mathrm{2}} }{cos}\mathrm{5}{x}+…\right]−\left[{sinx}+\frac{\mathrm{1}}{\mathrm{2}}{sin}\mathrm{2}{x}+\frac{\mathrm{1}}{\mathrm{3}}{sin}\mathrm{3}{x}+…\right] \\ $$ Terms of Service Privacy Policy…

What-is-x-f-x-e-3-5pi-function-f-input-decrypt-determinant-determinant-

Question Number 145986 by Axeda last updated on 27/Jul/21 $${What}\:{is} \\ $$$${x}−{f}\left({x}\right)×{e}/\mathrm{3}.\mathrm{5}\pi×\theta=??????? \\ $$$${function}\:{f}\left({input}\right)\:=\:{decrypt}\left(\begin{array}{|c|}{\begin{array}{|c|}{\underbrace{ }}\\\hline\end{array}\underbrace{ }}\\\hline\end{array}\right. \\ $$ Answered by Axeda last updated on 10/Jul/21…

Question-145942

Question Number 145942 by Khalmohmmad last updated on 09/Jul/21 Answered by Olaf_Thorendsen last updated on 09/Jul/21 $$ \\ $$$${f}\left({x}+\mathrm{2}\right)+\mathrm{10}{f}\left({x}\right)\:=\:\mathrm{7}{f}\left({x}+\mathrm{1}\right) \\ $$$${f}\left({x}+\mathrm{2}\right)−\mathrm{7}{f}\left({x}+\mathrm{1}\right)+\mathrm{10}{f}\left({x}\right)\:=\:\mathrm{0} \\ $$$${r}^{\mathrm{2}} −\mathrm{7}{r}+\mathrm{10}\:=\:\mathrm{0} \\…

Question-80386

Question Number 80386 by gny last updated on 02/Feb/20 Commented by kaivan.ahmadi last updated on 02/Feb/20 $${h}_{{A}\overset{\bigtriangleup} {{B}D}} ={h}_{{A}\overset{\Delta} {{B}C}} =\mathrm{8}\Rightarrow \\ $$$${S}_{{A}\overset{\bigtriangleup} {{B}D}} =\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{21}×\mathrm{8}=\mathrm{84}…