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a-b-c-d-2-a-2-b-2-c-2-d-2-6-a-3-b-3-c-3-d-3-20-a-4-b-4-c-4-d-4-66-a-b-c-d-

Question Number 82030 by naka3546 last updated on 17/Feb/20 $${a}\:−\:{b}\:+\:{c}\:−\:{d}\:\:=\:\:\mathrm{2} \\ $$$${a}^{\mathrm{2}} \:−\:{b}^{\mathrm{2}} \:+\:{c}^{\mathrm{2}} \:−\:{d}^{\mathrm{2}} \:\:=\:\:\mathrm{6} \\ $$$${a}^{\mathrm{3}} \:−\:{b}^{\mathrm{3}} \:+\:{c}^{\mathrm{3}} \:−\:{d}^{\mathrm{3}} \:\:=\:\:\mathrm{20} \\ $$$${a}^{\mathrm{4}} \:−\:{b}^{\mathrm{4}}…

Question-81980

Question Number 81980 by Hassen_Timol last updated on 17/Feb/20 Commented by Hassen_Timol last updated on 17/Feb/20 $$\mathrm{What}\:\mathrm{are}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\mathrm{these}\:\mathrm{2}\:\mathrm{numbers}\:\mathrm{please}? \\ $$ Commented by Hassen_Timol last updated on…

1-i-3-2-2020-1-i-3-2-2020-A-A-4-

Question Number 81966 by naka3546 last updated on 17/Feb/20 $$\left(\frac{\mathrm{1}\:+\:{i}\sqrt{\mathrm{3}}}{\mathrm{2}}\:\right)^{\mathrm{2020}} \:+\:\:\left(\frac{\mathrm{1}\:−\:{i}\sqrt{\mathrm{3}}}{\mathrm{2}}\:\right)^{\mathrm{2020}} \:\:=\:\:\:{A} \\ $$$${A}^{\mathrm{4}} \:\:=\:\:? \\ $$ Answered by TANMAY PANACEA last updated on 17/Feb/20…

2-19-cos-1-3-tan-1-45-3-28-it-is-equal-to-8-How-

Question Number 147492 by Kunal12588 last updated on 21/Jul/21 $$\mathrm{2}\sqrt{\mathrm{19}}\:\mathrm{cos}\:\left[\frac{\mathrm{1}}{\mathrm{3}}\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{45}\sqrt{\mathrm{3}}}{\mathrm{28}}\right)\right] \\ $$$${it}\:{is}\:{equal}\:{to}\:\mathrm{8}.\:{How}? \\ $$ Commented by MJS_new last updated on 21/Jul/21 $$\mathrm{just}\:\mathrm{an}\:\mathrm{idea} \\ $$$${x}^{\mathrm{3}}…

D-x-y-x-y-1-x-y-0-5-D-ln-x-2-y-2-dxdy-a-0-b-0-c-0-d-non-existent-

Question Number 16406 by liday last updated on 21/Jun/17 $$\mathrm{D}=\left\{\left({x},\mathrm{y}\right)\mid\mid{x}\mid+\mid\mathrm{y}\mid\leqslant\mathrm{1},\mid{x}\mid+\mid{y}\mid\geqslant\mathrm{0}.\mathrm{5}\right\} \\ $$$$\underset{\mathrm{D}} {\int\int}\mathrm{ln}\:\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){dxdy} \\ $$$$\left.\mathrm{a}\right)\geqslant\mathrm{0}; \\ $$$$\left.\mathrm{b}\right)\leqslant\mathrm{0}; \\ $$$$\left.\mathrm{c}\right)=\mathrm{0}; \\ $$$$\left.\mathrm{d}\right)\mathrm{non}-\mathrm{existent}. \\ $$…

Question-147444

Question Number 147444 by aliibrahim1 last updated on 20/Jul/21 Answered by SEKRET last updated on 21/Jul/21 $$\int\:\boldsymbol{\mathrm{x}}^{\frac{\mathrm{1}}{\mathrm{2}}} \centerdot\boldsymbol{\mathrm{x}}^{\frac{\mathrm{1}}{\mathrm{2}\centerdot\mathrm{3}}} \centerdot\boldsymbol{\mathrm{x}}^{\frac{\mathrm{1}}{\mathrm{2}\centerdot\mathrm{3}\centerdot\mathrm{4}}} \centerdot….\boldsymbol{\mathrm{dx}}= \\ $$$$\int\:\boldsymbol{\mathrm{x}}^{\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}\centerdot\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{2}\centerdot\mathrm{3}\centerdot\mathrm{4}}+} …\:\mathrm{d}\boldsymbol{\mathrm{x}}=\:\int\:\boldsymbol{\mathrm{x}}^{\frac{\mathrm{1}}{\mathrm{2}!}+\frac{\mathrm{1}}{\mathrm{3}!}+\frac{\mathrm{1}}{\mathrm{4}!}+..} \boldsymbol{\mathrm{dx}} \\…