Question Number 61391 by Prithwish sen last updated on 02/Jun/19 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{best}\:\mathrm{book}\:\mathrm{for}\:\mathrm{learning}\:\mathrm{advanced} \\ $$$$\mathrm{calculus}\:? \\ $$ Commented by ajfour last updated on 02/Jun/19 $${Erwin}\:{Kreyszig}\:\left({wiley}\:{publication}\right) \\ $$…
Question Number 192463 by Spillover last updated on 18/May/23 Answered by AST last updated on 18/May/23 $$\mathrm{420}=\mathrm{2}^{\mathrm{2}} ×\mathrm{3}×\mathrm{5}×\mathrm{7} \\ $$$$\mathrm{264}=\mathrm{2}^{\mathrm{3}} ×\mathrm{3}×\mathrm{11} \\ $$$${Third}\:{number}=\mathrm{2}^{{a}} \mathrm{3}^{{b}} \mathrm{5}^{{c}}…
Question Number 61388 by maxmathsup by imad last updated on 02/Jun/19 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{sin}\left({lnx}\right)}{{lnx}}\:{dx}\:. \\ $$ Commented by perlman last updated on 02/Jun/19 $${let}\:{u}={ln}\left({x}\right) \\…
Question Number 126923 by bramlexs22 last updated on 25/Dec/20 $$\:\:\underset{{x}\rightarrow\mathrm{2}^{−} } {\mathrm{lim}}\frac{{x}−\mathrm{2cos}\:\sqrt{\mathrm{2}−{x}}}{\left(\mathrm{2}−{x}\right)^{\mathrm{2}} }\:=\:? \\ $$ Answered by bemath last updated on 25/Dec/20 Terms of Service…
Question Number 61386 by maxmathsup by imad last updated on 02/Jun/19 $${find}\:{the}\:{value}\:{of}\:\int_{−\infty} ^{+\infty} \:\:\frac{{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx} \\ $$ Commented by perlman last updated on 02/Jun/19…
Question Number 192458 by Mingma last updated on 18/May/23 Answered by Frix last updated on 19/May/23 $$\mathrm{log}_{{x}+\frac{\mathrm{7}}{\mathrm{2}}} \:\left(\frac{{x}+\mathrm{7}}{\mathrm{2}{x}+\mathrm{3}}\right)^{\mathrm{2}} \:=\frac{\mathrm{ln}\:\left(\frac{{x}+\mathrm{7}}{\mathrm{2}{x}+\mathrm{3}}\right)^{\mathrm{2}} }{\mathrm{ln}\:\left({x}+\frac{\mathrm{7}}{\mathrm{2}}\right)}= \\ $$$$=\frac{\mathrm{2}\left(\mathrm{ln}\:\mid{x}+\mathrm{7}\mid\:−\mathrm{ln}\:\mid\mathrm{2}{x}+\mathrm{3}\mid\right)}{\mathrm{ln}\:\left(\mathrm{2}{x}+\mathrm{7}\right)\:−\mathrm{ln}\:\mathrm{2}}\geqslant\mathrm{0} \\ $$$$\frac{\mathrm{ln}\:\mid{x}+\mathrm{7}\mid\:−\mathrm{ln}\:\mid\mathrm{2}{x}+\mathrm{3}\mid}{\mathrm{ln}\:\left(\mathrm{2}{x}+\mathrm{7}\right)\:−\mathrm{ln}\:\mathrm{2}}\geqslant\mathrm{0} \\…
Question Number 126921 by sdfg last updated on 25/Dec/20 Commented by mr W last updated on 25/Dec/20 $$\overset{\rightarrow} {{C}}=\overset{\rightarrow} {{A}}+\overset{\rightarrow} {{B}} \\ $$$$\overset{\rightarrow} {{C}}'=\frac{\mathrm{1}}{\mathrm{2}}\overset{\rightarrow} {{A}}+\frac{\mathrm{1}}{\mathrm{2}}\overset{\rightarrow}…
Question Number 192453 by Spillover last updated on 18/May/23 $${Find}\:\:\:\:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\left(\frac{\mathrm{1}}{{n}^{\mathrm{2}} }+\frac{\mathrm{2}}{{n}^{\mathrm{2}} }+\frac{\mathrm{3}}{{n}^{\mathrm{2}} }+…\frac{{n}}{{n}^{\mathrm{2}} }\right) \\ $$ Answered by senestro last updated on 18/May/23 $$\mathrm{1}/\mathrm{2}…
Question Number 192452 by Spillover last updated on 18/May/23 $${Evaluate}\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{2}^{{x}\:} {dx}\:\:\: \\ $$$$ \\ $$ Answered by senestro last updated on 18/May/23 $$\mathrm{1}/\mathrm{ln}\:\mathrm{2}…
Question Number 126916 by mohammad17 last updated on 25/Dec/20 Commented by mr W last updated on 25/Dec/20 $${p}=\frac{\mathrm{3}!}{\mathrm{4}!}=\frac{\mathrm{1}}{\mathrm{4}} \\ $$ Terms of Service Privacy Policy…