Question Number 141598 by Gbenga last updated on 20/May/21 Answered by TheSupreme last updated on 21/May/21 $$\frac{{A}}{{x}+\mathrm{3}}+\frac{{B}}{{x}+\mathrm{2}}=\frac{−\mathrm{2021}}{\left({x}+\mathrm{3}\right)\left({x}+\mathrm{2}\right)}=\frac{{Ax}+\mathrm{2}{A}+{Bx}+\mathrm{3}{B}}{\left({x}+\mathrm{3}\right)\left({x}+\mathrm{2}\right)} \\ $$$${A}+{B}=\mathrm{0} \\ $$$$\mathrm{2}{A}+\mathrm{3}{B}=−\mathrm{2021} \\ $$$${A}=\mathrm{2021} \\ $$$${B}=−\mathrm{2021}…
Question Number 76061 by tw000001 last updated on 23/Dec/19 $$\mathrm{What}'\mathrm{s}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of} \\ $$$$\frac{\mathrm{13}{a}+\mathrm{13}{b}+\mathrm{2}{c}}{\mathrm{2}{a}+\mathrm{2}{b}}+\frac{\mathrm{24}{a}−{b}+\mathrm{13}{c}}{\mathrm{2}{b}+\mathrm{2}{c}}+\frac{−{a}+\mathrm{24}{b}+\mathrm{13}{c}}{\mathrm{2}{a}+\mathrm{2}{c}}? \\ $$$$\left({a},{b},{c}\:\mathrm{are}\:\mathrm{positive}\:\mathrm{numbers}.\right) \\ $$$$\mathrm{I}\:\mathrm{think}\:\mathrm{nobody}\:\mathrm{can}\:\mathrm{solve}\:\mathrm{this}. \\ $$ Answered by MJS last updated on 23/Dec/19…
Question Number 10521 by ajfour last updated on 16/Feb/17 $${A}\:{number}\:\left(\alpha\beta..\lambda…\mu\mathrm{2}\right)×\mathrm{2}\:=\left(\mathrm{2}\alpha\beta..\lambda…\mu\right) \\ $$$${find}\:{the}\:{number}. \\ $$$$ \\ $$ Answered by mrW1 last updated on 17/Feb/17 $$\left({Part}\:{I}\right) \\…
Question Number 141594 by naz last updated on 20/May/21 Answered by MJS_new last updated on 20/May/21 $$\begin{vmatrix}{{a}}&{{b}}&{{c}}\\{{d}}&{{e}}&{{f}}\\{{g}}&{{h}}&{{i}}\end{vmatrix}={aei}+{bfg}+{cdh}−\left({afh}+{bdi}+{ceg}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 76052 by Ajao yinka last updated on 23/Dec/19 Commented by MJS last updated on 23/Dec/19 $${t}=\mathrm{e}^{−{x}} \:\rightarrow\:{dx}=−\mathrm{e}^{{x}} {dt} \\ $$$$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}{t}^{−{t}} {dt}\approx\mathrm{1}.\mathrm{291286}…
Question Number 10517 by Saham last updated on 15/Feb/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76053 by john santuy last updated on 23/Dec/19 $${how}\:{I}\:{calculate}\:\int\frac{\mathrm{1}}{{x}^{\mathrm{8}} +{x}^{\mathrm{2}} }{dx}\:? \\ $$ Commented by abdomathmax last updated on 23/Dec/19 $${decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{\mathrm{1}}{{x}^{\mathrm{2}} +{x}^{\mathrm{8}} }\:\:{and}\:{see}…
Question Number 141585 by ZiYangLee last updated on 20/May/21 $$\mathrm{If}\:{n}\:\mathrm{is}\:\mathrm{a}\:\mathrm{multiple}\:\mathrm{of}\:\mathrm{4}\:\mathrm{and}\:{i}=\sqrt{−\mathrm{1}}\:,\: \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{series} \\ $$$$\:\:\:{S}=\mathrm{1}+\mathrm{2}{i}+\mathrm{3}{i}^{\mathrm{2}} +……+\left({n}+\mathrm{1}\right){i}^{{n}} \: \\ $$ Answered by mathmax by abdo last updated…
Question Number 10515 by ABD last updated on 15/Feb/17 $$\mathrm{2}^{{a}} =\mathrm{6}^{\frac{{x}}{{x}+{y}}\:} \:\:\:.\mathrm{3}^{{a}} \:=\mathrm{6}^{\frac{{y}}{{x}+{y}}} \:\Rightarrow\mathrm{8}^{\frac{{y}}{{x}}+\mathrm{1}} =? \\ $$ Answered by mrW1 last updated on 15/Feb/17 $$\mathrm{2}^{{a}}…
Question Number 76048 by peter frank last updated on 22/Dec/19 $$\int{e}^{{x}^{\mathrm{2}} } {dx} \\ $$ Answered by Crabby89p13 last updated on 23/Dec/19 $${Actually}\:{there}\:{is}\:{no}\:{elementary} \\ $$$${function}\:{that}\:{describes}\:{the}\:{integral}\:{of}…