Question Number 150171 by puissant last updated on 10/Aug/21 $${solve}\:{in}\:\mathbb{R}: \\ $$$$\sqrt[{\mathrm{7}}]{\left({ax}−{b}\right)^{\mathrm{3}} }−\sqrt[{\mathrm{7}}]{\left({b}−{ax}\right)^{−\mathrm{3}} }=\frac{\mathrm{65}}{\mathrm{8}} \\ $$ Answered by liberty last updated on 10/Aug/21 $$\mathrm{let}\:\sqrt[{\mathrm{7}}]{\left(\mathrm{ax}−\mathrm{b}\right)^{\mathrm{3}} }\:=\:\mathrm{u}…
Question Number 84582 by jagoll last updated on 14/Mar/20 Commented by jagoll last updated on 14/Mar/20 $$\mathrm{dear}\:\mathrm{mr}\:\mathrm{W}.\:\mathrm{this}\:\mathrm{my}\:\mathrm{way}.\:\mathrm{it}'\mathrm{s} \\ $$$$\mathrm{correct}? \\ $$ Commented by jagoll last…
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 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 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 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 $${let}\:\:{F}\left({z}\right)\:=\frac{{z}^{\mathrm{2}} }{\mathrm{1}+{z}^{\mathrm{7}} } \\ $$$$\left.\mathrm{1}\right)\:{factorize}\:{inside}\:{C}\left[{x}\right]\:{and}\:{R}\left[{x}\right] \\ $$$${z}^{\mathrm{7}} \:+\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{decompose}\:{inside}\:{C}\left({x}\right){and}\:{R}\left({x}\right) \\ $$$${the}\:{fraction}\:{F}\left({x}\right) \\…
Question Number 84571 by msup trace by abdo last updated on 14/Mar/20 $${calculate}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{k}} }{\:\sqrt{{k}}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 150044 by bramlexs22 last updated on 09/Aug/21 $$\:\mathrm{Given}\:\mathrm{f}\left(\frac{\mathrm{2x}−\mathrm{3}}{\mathrm{2x}+\mathrm{1}}\right)+\mathrm{f}\left(\frac{\mathrm{2x}+\mathrm{3}}{\mathrm{1}−\mathrm{2x}}\right)=\:\mathrm{4x} \\ $$$$\:\mathrm{f}\left(\mathrm{x}\right)=? \\ $$ Answered by liberty last updated on 09/Aug/21 $$\:\mathrm{f}\left(\frac{\mathrm{2x}−\mathrm{3}}{\mathrm{2x}+\mathrm{1}}\right)+\mathrm{f}\left(\frac{\mathrm{2x}+\mathrm{3}}{\mathrm{1}−\mathrm{2x}}\right)=\mathrm{4x}\:\ldots\left(\mathrm{i}\right) \\ $$$$\mathrm{let}\:\frac{\mathrm{2x}−\mathrm{3}}{\mathrm{2x}+\mathrm{1}}\:=\:\mathrm{y}\:; \\…
Question Number 84448 by jagoll last updated on 13/Mar/20 $$\mathrm{5}^{\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{7}\mid\mathrm{x}\mid+\mathrm{10}}{\mathrm{x}^{\mathrm{2}} −\mathrm{6x}+\mathrm{9}}} \:<\:\mathrm{1} \\ $$ Answered by john santu last updated on 13/Mar/20 $$\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{7}\mid\mathrm{x}\mid+\mathrm{10}}{\mathrm{x}^{\mathrm{2}}…