Question Number 192047 by sciencestudentW last updated on 06/May/23 $${we}\:{have}\:{three}\:{digit}\:{number}\:{like}\:{XYZ} \\ $$$${that}\:{X}+{Y}+{Z}=\mathrm{16},\:{if}\:{we}\:{replace}\:{X}\:{by}\:{Z} \\ $$$${then}\:{it}\:{will}\:{be}\:{changed}\:{to}\:{ZYX}\:{number}\: \\ $$$${that}\:{ZYX}={XYZ}−\mathrm{594} \\ $$$${find}\:{XYZ}\:{number}. \\ $$ Answered by AST last updated…
Question Number 192046 by sciencestudentW last updated on 06/May/23 $${tow}\:{type}\:{creams}\:{are}\:{in}\:{a}\:{box}\:{that}\:{one}\: \\ $$$${type}\:{of}\:{these}\:{have}\:\mathrm{25}{gr}\:{mass}\:{and}\:{another} \\ $$$${ones}\:{have}\:\mathrm{37}{gr}\:{mass},\:{if}\:{the}\:{total}\:{mass} \\ $$$${of}\:{those}\:{is}\:\mathrm{870}{gr}\:{then}\:{find}\:{the}\:{number} \\ $$$${of}\:{each}\:{type}\:{of}\:{creams}. \\ $$ Answered by Skabetix last updated…
Question Number 126509 by Algoritm last updated on 21/Dec/20 Answered by mr W last updated on 21/Dec/20 Commented by talminator2856791 last updated on 22/Dec/20 $$\:\mathrm{so}\:\mathrm{then}\:\mathrm{the}\:\mathrm{answer}?…
Question Number 126507 by joki last updated on 21/Dec/20 $$\int\frac{\mathrm{1}}{\left(\mathrm{x}−\mathrm{2}\right)\sqrt{\left.\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{1}\right)}}\mathrm{dx} \\ $$ Answered by Dwaipayan Shikari last updated on 21/Dec/20 $$\int\frac{\mathrm{1}}{\left({x}−\mathrm{2}\right)\sqrt{\left({x}−\mathrm{2}\right)^{\mathrm{2}} −\left(\sqrt{\mathrm{3}}\right)^{\mathrm{2}} }}\:{dx} \\…
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Question Number 126502 by benjo_mathlover last updated on 21/Dec/20 $$\:\:\int\:\frac{{dx}}{\:\sqrt{\mathrm{sin}\:^{\mathrm{5}} {x}\:\mathrm{cos}\:^{\mathrm{7}} {x}}}\:? \\ $$ Answered by MJS_new last updated on 21/Dec/20 $$\int\frac{{dx}}{\:\sqrt{\mathrm{sin}^{\mathrm{5}} \:{x}\:\mathrm{cos}^{\mathrm{7}} \:{x}}}= \\…
Question Number 60967 by maxmathsup by imad last updated on 27/May/19 $${study}\:{the}\:{integral}\:\int_{−\infty} ^{+\infty} \left(\mathrm{1}−{cos}\left(\frac{\mathrm{2}}{{x}^{\mathrm{2}} \:+\mathrm{1}}\right)\right){dx}\: \\ $$ Commented by abdo mathsup 649 cc last updated…
Question Number 126503 by benjo_mathlover last updated on 21/Dec/20 $$\:{solve}\:{f}\:'\left({x}\right)={f}\left({x}+\frac{\pi}{\mathrm{2}}\right)\: \\ $$ Commented by Dwaipayan Shikari last updated on 21/Dec/20 $${f}\left({x}\right)={cosx} \\ $$ Terms of…
Question Number 192039 by universe last updated on 06/May/23 $$\mathrm{let}\:{x},{y},{z}\:\mathrm{be}\:\mathrm{positive}\:\mathrm{real}\:\mathrm{number}\:\mathrm{such}\:\mathrm{that} \\ $$$$\:{x}^{\mathrm{4}} +{y}^{\mathrm{4}} +{z}^{\mathrm{4}} \:=\:\mathrm{1}\:\mathrm{find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value} \\ $$$$\mathrm{of} \\ $$$$\:\:\:\:\frac{{x}^{\mathrm{3}} }{\mathrm{1}−{x}^{\mathrm{8}} }\:+\:\frac{{y}^{\mathrm{3}} }{\mathrm{1}−{y}^{\mathrm{8}} }\:+\:\frac{{z}^{\mathrm{3}} }{\mathrm{1}−{z}^{\mathrm{8}} }…
Question Number 192033 by sonukgindia last updated on 06/May/23 Answered by mehdee42 last updated on 06/May/23 $${L}={e}^{\:{lim}_{{x}\rightarrow\mathrm{0}} \:\left(\frac{{sinx}}{{x}}\:−\mathrm{1}\:\right)\frac{\mathrm{1}}{{x}^{\mathrm{2}} \:}} \:={e}^{\:{lim}_{{x}\rightarrow\mathrm{0}} \:\left(\frac{{sinx}\:−\mathrm{1}}{{x}^{\mathrm{3}} }\:\right)\:} =\:{e}^{\:{lim}_{{x}\rightarrow\mathrm{0}} \:\left(\frac{−\frac{\mathrm{1}}{\mathrm{6}}{x}^{\mathrm{3}} }{{x}^{\mathrm{3}}…