Question Number 6203 by sanusihammed last updated on 18/Jun/16 Answered by nburiburu last updated on 25/Jun/16 $${defining} \\ $$$${AC}={a} \\ $$$${AB}={b} \\ $$$${then} \\ $$$${BC}=\sqrt{{a}^{\mathrm{2}}…
Question Number 71739 by Tony Lin last updated on 19/Oct/19 $${find}\:{the}\:{asymptote}\:{of}\:{folium}\:{of}\: \\ $$$${Descartes}\:{x}^{\mathrm{3}} +{y}^{\mathrm{3}} =\mathrm{3}{axy},\:{and}\:{a}\:{is}\:{a} \\ $$$${constant}\:>\mathrm{0} \\ $$ Answered by Tony Lin last updated…
Question Number 6202 by sanusihammed last updated on 18/Jun/16 Commented by Rasheed Soomro last updated on 18/Jun/16 $${What}\:{is}\:{meant}\:{by}\:\:'\:{persegi}\:'?\:{Square}? \\ $$ Answered by Rasheed Soomro last…
Question Number 137275 by mnjuly1970 last updated on 31/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:……{complex}\:\:{analysis}….. \\ $$$$\:\:\:\:{if}\:,\:\:{f}\left(\alpha,{n},{x}\right)=\frac{{d}^{\:{n}} }{{dx}^{{n}} }\left(\alpha^{{x}} \right)\:\:,\:{x}\in\mathbb{C} \\ $$$$\:\:\:\:\:\alpha\in\mathbb{C}−\left\{\mathrm{0}\right\}\:,\:{n}\in\mathbb{C}−\mathbb{Z}^{−} \cup\left\{\mathrm{0}\right\} \\ $$$$\:\:\:\:\:{and}\:\:{g}\left({n},{x}\right)=\int_{\mathrm{0}} ^{\:\mathrm{1}} {f}\left(\alpha,{n},{x}\right){d}\alpha \\ $$$$\:\:\:\:\:{then}\:\:{find}\:\:{the}\:{value}\:{of}\:… \\…
Question Number 137269 by mohssinee last updated on 31/Mar/21 Commented by mohssinee last updated on 31/Mar/21 $${n}\in\mathbb{N}^{\ast} \\ $$ Answered by aleks041103 last updated on…
Question Number 71729 by peter frank last updated on 19/Oct/19 $${find}\:{dU}\:\:\:{if}\:\:\:{U}={x}^{\mathrm{2}} {e}^{\frac{{x}}{{y}}} \\ $$$$ \\ $$ Commented by peter frank last updated on 19/Oct/19 $${thank}\:{you}…
Question Number 6192 by sanusihammed last updated on 17/Jun/16 $${Find}\:{the}\:{equation}\:{of}\:{the}\:{circle}\:{circumscribing}\:{the}\:{triangle}\:{form}\:{by}\: \\ $$$${lines}\:\:\mathrm{3}{x}\:+\:{y}\:−\:\mathrm{5}\:=\:\mathrm{0},\:{x}\:+\:{y}\:+\:\mathrm{1}\:=\:\mathrm{0},\:{and}\:\mathrm{2}{x}\:+\:{y}\:−\:\mathrm{4}\:=\:\mathrm{0} \\ $$ Answered by Rasheed Soomro last updated on 18/Jun/16 $$\mathrm{3}{x}\:+\:{y}\:−\:\mathrm{5}\:=\:\mathrm{0}……\left({i}\right) \\ $$$${x}\:+\:{y}\:+\:\mathrm{1}\:=\:\mathrm{0}……..\left({ii}\right)…
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Question Number 6189 by enigmeyou last updated on 17/Jun/16 $$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\lfloor{x}^{\lfloor{xlnx}\rfloor} \rfloor=? \\ $$ Commented by FilupSmith last updated on 18/Jun/16 $$\lfloor{x}\rfloor\:\mathrm{is}\:\mathrm{only}\:\mathrm{really}\:\mathrm{applicable}\:\mathrm{for}\:\mathrm{non} \\ $$$$\mathrm{integers}.\:\lfloor{x}\mathrm{ln}{x}\rfloor\:\mathrm{is}\:\mathrm{only}\:\mathrm{applicable}\:\mathrm{if} \\…