Question Number 146547 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{calculate}\:\int_{\mid\mathrm{z}\mid=\mathrm{5}} \:\:\:\frac{\mathrm{2}−\mathrm{z}^{\mathrm{2}} }{\left(\mathrm{z}^{\mathrm{2}} +\mathrm{9}\right)\left(\mathrm{z}−\mathrm{i}\right)^{\mathrm{2}} }\mathrm{dz} \\ $$ Answered by Olaf_Thorendsen last updated on 14/Jul/21…
Question Number 146546 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{find}\:\int_{\mid\mathrm{z}−\mathrm{1}\mid=\mathrm{3}} \:\:\frac{\mathrm{cos}\left(\pi\mathrm{z}\right)}{\left(\mathrm{z}−\mathrm{2}\right)\left(\mathrm{z}^{\mathrm{2}} +\mathrm{4}\right)}\mathrm{dz} \\ $$ Answered by Olaf_Thorendsen last updated on 14/Jul/21 $${f}\left({z}\right)\:=\:\frac{\mathrm{cos}\left(\pi{z}\right)}{\left({z}−\mathrm{2}\right)\left({z}^{\mathrm{2}} +\mathrm{4}\right)}…
Question Number 15463 by myintkhaing last updated on 10/Jun/17 $${Find}\:{the}\:{domain}\:{and}\:{range}\:{of}\:{a}\:{function}\:{for}\:{which}\:{f}\left({x}\right)=\frac{\mathrm{1}+\mathrm{2}{x}}{{x}}. \\ $$ Answered by Tinkutara last updated on 10/Jun/17 $${f}\left({x}\right)\:\mathrm{is}\:\mathrm{defined}\:\forall\:{x}\:\in\:{R}\:−\:\left\{\mathrm{0}\right\}. \\ $$$$\mathrm{Domain}\:=\:{R}\:−\:\left\{\mathrm{0}\right\} \\ $$$$\mathrm{Let}\:{y}\:=\:\frac{\mathrm{2}{x}\:+\:\mathrm{1}}{{x}} \\…
Question Number 146524 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{xsinx}}{\left(\mathrm{x}^{\mathrm{4}} \:+\mathrm{1}\right)^{\mathrm{3}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 146497 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{2}}{\mathrm{x}}\int_{\mathrm{0}} ^{\mathrm{x}} \:\:\frac{\mathrm{t}^{\mathrm{2}} }{\:\sqrt{\mathrm{1}+\mathrm{t}^{\mathrm{2}} }}\mathrm{dt}\:\:\mathrm{calculate}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}} \mathrm{f}\left(\mathrm{x}\right) \\ $$ Answered by gsk2684 last updated on…
Question Number 80861 by jagoll last updated on 07/Feb/20 $${for}\:{x},{y}\:\in\mathbb{R} \\ $$$${given}\:{f}\left({x}\right)+{f}\left(\mathrm{2}{x}+{y}\right)+\mathrm{5}{xy}= \\ $$$${f}\left(\mathrm{3}{x}−{y}\right)+{x}^{\mathrm{2}} +\mathrm{1} \\ $$$${find}\:{f}\left(\mathrm{10}\right) \\ $$ Commented by jagoll last updated on…
Question Number 15302 by Tinkutara last updated on 10/Jun/17 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{number}\:\mathrm{of}\:\mathrm{commutative} \\ $$$$\mathrm{binary}\:\mathrm{operations}\:\mathrm{on}\:\mathrm{a}\:\mathrm{set}\:\mathrm{having}\:{n} \\ $$$$\mathrm{elements}\:\mathrm{is}\:{n}^{\frac{{n}\left({n}\:−\:\mathrm{1}\right)}{\mathrm{2}}} \:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 146365 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{4}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 146363 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{find}\:\int_{−\mathrm{i}} ^{\mathrm{1}+\mathrm{i}} \left(\mathrm{x}^{\mathrm{2}} −\mathrm{iy}\right)\mathrm{dz}\:\:\mathrm{along}\:\:\mathrm{y}=\mathrm{x}^{\mathrm{3}} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 80814 by mathmax by abdo last updated on 06/Feb/20 $${find}\:{nature}\:{of}\:{the}\:{serie}\:\sum_{{n}=\mathrm{1}} ^{\infty} \left(\mathrm{1}−{cos}\left(\frac{\pi}{{n}}\right)\right) \\ $$ Commented by mind is power last updated on 06/Feb/20…