Question Number 142469 by mnjuly1970 last updated on 01/Jun/21 $$\:\:\:\:\:\:\:\:\:\:\:\:……\:\:{Calculus}\:….. \\ $$$$\:\:\:\:{Evaluate}:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \left(\frac{{log}\left(\frac{\mathrm{1}}{{x}}\right)}{\mathrm{1}−{x}}\right)^{\mathrm{3}} {dx}=?? \\ $$ Answered by mindispower last updated on 01/Jun/21 $$=−\int_{\mathrm{0}}…
Question Number 11399 by tawa last updated on 23/Mar/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first}\:\mathrm{and}\:\mathrm{last}\:\mathrm{term}\:\mathrm{of}\:\mathrm{an}\:\mathrm{A}.\mathrm{P}\:\mathrm{is}\:\mathrm{51}.\:\mathrm{And}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{progression}\:\mathrm{is}\:\mathrm{255}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{last}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{A}.\mathrm{P}. \\ $$ Answered by ajfour last updated on 23/Mar/17 $$\mathrm{last}\:\mathrm{term}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{51}+\mathrm{9d}\right) \\ $$$$\mathrm{where}\:\mathrm{d}\:\mathrm{is}\:\mathrm{whatever}\:\mathrm{common} \\…
Question Number 11398 by tawa last updated on 23/Mar/17 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x}\:: \\ $$$$\mathrm{625}^{\mathrm{x}\:−\:\mathrm{5}} \:=\:\mathrm{200}\sqrt{\mathrm{x}^{\mathrm{3}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 11395 by Joel576 last updated on 23/Mar/17 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{those}\:\mathrm{functions}\:\mathrm{below}\:\mathrm{don}'\mathrm{t}\:\mathrm{have}\:\mathrm{limit} \\ $$$$\left.\mathrm{a}\right)\:\underset{\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}}\:\:\frac{{xy}}{{x}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}} } \\ $$$$ \\ $$$$\left.{b}\right)\:\:\underset{\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}}\:\:\frac{{xy}\:+\:{y}^{\mathrm{3}} }{{x}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}} } \\ $$…
Question Number 142464 by som(math1967) last updated on 01/Jun/21 $$\underset{\boldsymbol{{n}}\rightarrow\infty} {\boldsymbol{{lim}}}\:\left[\frac{\left(\mathrm{2}\boldsymbol{{n}}\right)!}{\boldsymbol{{n}}!\boldsymbol{{n}}^{\boldsymbol{{n}}} }\right]^{\frac{\mathrm{1}}{\boldsymbol{{n}}}} =? \\ $$ Answered by Dwaipayan Shikari last updated on 01/Jun/21 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left[\frac{\mathrm{2}^{\mathrm{2}{n}}…
Question Number 11394 by agni5 last updated on 23/Mar/17 $$\mathrm{Find}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{hyperbolas}\:\mathrm{that}\: \\ $$$$\mathrm{intersect}\:\mathrm{3x}^{\mathrm{2}} −\mathrm{4y}^{\mathrm{2}} =\mathrm{5xy}\:\mathrm{and}\: \\ $$$$\mathrm{3y}^{\mathrm{2}} −\mathrm{4x}^{\mathrm{2}} =\mathrm{2x}+\mathrm{5}. \\ $$ Terms of Service Privacy Policy…
Question Number 142467 by mohammad17 last updated on 01/Jun/21 Commented by mohammad17 last updated on 01/Jun/21 $${complete}\:{the}\:{table}\:{help}\:{me}\:{sir} \\ $$ Commented by mr W last updated…
Question Number 11393 by tawa last updated on 23/Mar/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76929 by peter frank last updated on 01/Jan/20 $$\int\frac{\mathrm{1}}{\:\sqrt{\mathrm{sin}\:^{\mathrm{3}} {x}\left(\mathrm{sin}\left({a}+{x}\right)\right)\:}} \\ $$ Answered by MJS last updated on 01/Jan/20 $$\int\frac{{dx}}{\:\sqrt{\mathrm{sin}^{\mathrm{3}} \:{x}\:\mathrm{sin}\:\left({a}+{x}\right)}}= \\ $$$$=\int\frac{{dx}}{\:\sqrt{\mathrm{sin}^{\mathrm{3}}…
Question Number 142461 by bramlexs22 last updated on 01/Jun/21 Commented by qaz last updated on 01/Jun/21 $$\mathrm{S}_{\mathrm{1}} =\int_{\mathrm{0}} ^{\mathrm{a}_{\mathrm{1}} } \left(\mathrm{c}−\mathrm{8x}+\mathrm{27x}^{\mathrm{3}} \right)\mathrm{dx}=\mathrm{a}_{\mathrm{1}} \mathrm{c}−\mathrm{4a}_{\mathrm{1}} ^{\mathrm{2}} +\frac{\mathrm{27}}{\mathrm{4}}\mathrm{a}_{\mathrm{1}}…