Question Number 150119 by mathdanisur last updated on 09/Aug/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{value}\:\mathrm{of}\:\mathrm{a}\:\mathrm{given} \\ $$$$\mathrm{expression}: \\ $$$$\left(\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{6x}\:+\:\mathrm{8}\right)^{\mathrm{2}} \:+\:\mathrm{5} \\ $$ Answered by Ar Brandon last updated on…
Question Number 84580 by msup trace by abdo last updated on 14/Mar/20 $${find}\:{A}_{\lambda} =\int\:\frac{{x}+\mathrm{1}}{{x}+\mathrm{3}}\sqrt{\frac{\lambda+{x}}{\lambda−{x}}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84581 by msup trace by abdo last updated on 14/Mar/20 $${let}\:{f}\left({x}\right)\:=\:{e}^{\mathrm{2}{x}} {ln}\left(\mathrm{1}−\mathrm{3}{x}^{\mathrm{2}} \right) \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left(\mathrm{0}\right)} \left({x}\right)\:{and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\:{drvelopp}\:{f}\:{at}\:{integr}\:{serie} \\ $$$$\left.\mathrm{3}\right)\:{find}\:\int\:{f}\left({x}\right){dx} \\ $$…
Question Number 84578 by msup trace by abdo last updated on 14/Mar/20 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{dx}}{\left({cosx}\:+\mathrm{3}{sinx}\right)^{\mathrm{2}} } \\ $$ Commented by jagoll last updated on 14/Mar/20…
Question Number 84579 by msup trace by abdo last updated on 14/Mar/20 $${find}\:\int\:\left({x}^{\mathrm{2}} −\mathrm{2}\right)\sqrt{{x}+\frac{\mathrm{1}}{{x}}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84576 by msup trace by abdo last updated on 14/Mar/20 $${find}\:{locus}\:{of}\:\:\:\mid{z}−\frac{\mathrm{1}}{{z}}\mid=\mathrm{2}\mid\overset{−} {{z}}\mid \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84577 by msup trace by abdo last updated on 14/Mar/20 $${calculate}\:\int\:\:\:\:\frac{{dx}}{{cosx}\:+{cos}\left(\mathrm{2}{x}\right)+{cos}\left(\mathrm{3}{x}\right)} \\ $$ Commented by jagoll last updated on 14/Mar/20 $$\mathrm{cos}\:{x}+\mathrm{cos}\:\mathrm{3}{x}+\mathrm{cos}\:\mathrm{2}{x}\:=\: \\ $$$$\mathrm{2cos}\:\mathrm{2}{x}\:\mathrm{cos}\:{x}\:+\:\mathrm{cos}\:\mathrm{2}{x}\:=\:…
Question Number 84574 by msup trace by abdo last updated on 14/Mar/20 $${calculate}\:\:{I}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \:{sin}\left({narcsinx}\right){dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 84575 by msup trace by abdo last updated on 14/Mar/20 $${find}\:{nature}\:{of}\:{the}\:{serie}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\Gamma\left(\frac{\mathrm{1}}{{n}}\right) \\ $$$$\Gamma\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:{t}^{{x}−\mathrm{1}} \:{e}^{−{t}} \:{dt}\:\:\:\:\:\left({x}>\mathrm{0}\right) \\ $$ Terms of…
Question Number 84572 by msup trace by abdo last updated on 14/Mar/20 $${let}\:\:{F}\left({z}\right)\:=\frac{{z}^{\mathrm{2}} }{\mathrm{1}+{z}^{\mathrm{7}} } \\ $$$$\left.\mathrm{1}\right)\:{factorize}\:{inside}\:{C}\left[{x}\right]\:{and}\:{R}\left[{x}\right] \\ $$$${z}^{\mathrm{7}} \:+\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{decompose}\:{inside}\:{C}\left({x}\right){and}\:{R}\left({x}\right) \\ $$$${the}\:{fraction}\:{F}\left({x}\right) \\…