Question Number 136992 by liberty last updated on 28/Mar/21 $$\ell\:=\:\int\:\frac{\mathrm{cos}\:\mathrm{7x}−\mathrm{cos}\:\mathrm{8x}}{\mathrm{1}+\mathrm{2cos}\:\mathrm{5x}}\:\mathrm{dx}\:=? \\ $$ Answered by EDWIN88 last updated on 28/Mar/21 $$\:\ell\:=\:\int\:\frac{\mathrm{cos}\:\mathrm{7x}−\mathrm{cos}\:\mathrm{8x}}{\mathrm{1}+\mathrm{2cos}\:\mathrm{5x}}\:\mathrm{dx} \\ $$$$\mathrm{Simplify}\:\mathrm{the}\:\mathrm{integrand}\:\mathrm{by}\:\mathrm{Euler}'\mathrm{s}\:\mathrm{formula} \\ $$$$\frac{\mathrm{cos}\:\mathrm{7x}−\mathrm{cos}\:\mathrm{8x}}{\mathrm{1}+\mathrm{2cos}\:\mathrm{5x}}\:=\:\frac{\mathrm{e}^{\mathrm{i7x}} +\mathrm{e}^{−\mathrm{i7x}}…
Question Number 136995 by Dwaipayan Shikari last updated on 28/Mar/21 $$\mathrm{1}−\left(\frac{\mathrm{1}.\mathrm{1}.\mathrm{3}}{\mathrm{2}.\mathrm{3}.\mathrm{4}}\right)\frac{\mathrm{1}}{\mathrm{1}!}+\left(\frac{\mathrm{3}.\mathrm{3}.\mathrm{7}}{\mathrm{2}^{\mathrm{2}} .\mathrm{3}^{\mathrm{2}} .\mathrm{4}^{\mathrm{2}} }\right)\frac{\mathrm{1}}{\mathrm{2}!}−\left(\frac{\mathrm{5}.\mathrm{7}.\mathrm{10}}{\mathrm{2}^{\mathrm{3}} .\mathrm{3}^{\mathrm{3}} .\mathrm{4}^{\mathrm{3}} }\right)\frac{\mathrm{1}}{\mathrm{3}!}−…. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 5921 by FilupSmith last updated on 05/Jun/16 $$\mathrm{Does}:\: \\ $$$$\left(\mathrm{1}\right)\:\:\:\:\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}\Gamma\left(\frac{\mathrm{1}}{{i}}\right)\:\:\mathrm{converge}? \\ $$$$\left(\mathrm{2}\right)\:\:\:\:\underset{{i}=\mathrm{1}} {\overset{\infty} {\prod}}\Gamma\left(\frac{\mathrm{1}}{{i}}\right)\:\:\mathrm{converge}? \\ $$ Commented by Yozzii last updated…
Question Number 5920 by sanusihammed last updated on 05/Jun/16 $${Solove}\:{for}\:{x}\:{and}\:{y} \\ $$$$ \\ $$$$\mathrm{2}^{{x}} \:+\:\mathrm{3}^{{y}} \:=\:\mathrm{31}\:\:\:…………\:{eauation}\:\left({i}\right) \\ $$$$\mathrm{3}^{{x}} \:+\:\mathrm{2}^{{y}\:} \:=\:\mathrm{17}\:\:…………\:{equation}\:\left({ii}\right) \\ $$$$ \\ $$$${please}\:{help}. \\…
Question Number 136988 by mohammad17 last updated on 28/Mar/21 $${whats}\:{the}\:{intersiction}\:{of}\:{the}\:{curves}\:{r}=\frac{\mathrm{1}}{\mathrm{1}−{cos}\theta} \\ $$$$ \\ $$$${and}\:{r}=\frac{\mathrm{1}}{\mathrm{1}+{cos}\theta}\:? \\ $$ Answered by Ñï= last updated on 28/Mar/21 $${r}=\frac{\mathrm{1}}{\mathrm{1}−\mathrm{cos}\:\theta} \\…
Question Number 136990 by EDWIN88 last updated on 28/Mar/21 $$ \\ $$Given a cube ABCD.EFGH where point Z is the midpoint of AE, point R…
Question Number 136984 by mr W last updated on 28/Mar/21 Commented by mr W last updated on 28/Mar/21 $${see}\:{Q}\mathrm{136382} \\ $$ Commented by mr W…
Question Number 5914 by sanusihammed last updated on 05/Jun/16 $${A}\:{certain}\:{telephone}\:{company}\:{can}\:{get}\:\mathrm{10000}\:{subscribers}\:\:\:{t}. \\ $$$${yearly}\:{rate}\:{at}\:\mathrm{50}\:{naira}\:{each}\:.\:{it}\:{will}\:{get}\:\mathrm{1000}\:{more}\:{subscribers} \\ $$$${for}\:{each}\:\mathrm{1}.\mathrm{00}\:{naira}\:{decrease}\:{in}\:{the}\:{rate}.\:{what}\:{rate}\:{will}\:{yield}\: \\ $$$${the}\:{maximum}\:{yearly}\:{income}\:{and}\:{what}\:{will}\:{this}\:{income}\:{be}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136987 by Ousmane last updated on 28/Mar/21 $$\Rightarrow\mathrm{2}{x} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 71448 by aliesam last updated on 15/Oct/19 $${find}\:{the}\:{domain} \\ $$$$ \\ $$$${f}\left({x}\right)=\frac{\mathrm{1}}{{sin}\left({sin}\left({x}\right)\right)} \\ $$ Commented by kaivan.ahmadi last updated on 15/Oct/19 $${sin}\left({sinx}\right)=\mathrm{0}\Rightarrow{sinx}={k}\pi\:\:;{k}\in\mathbb{Z} \\…