Question Number 71740 by peter frank last updated on 19/Oct/19 $${Derive}\:{the}\:{expression} \\ $$$${for}\:{the}\:{pressure}\:{exerted} \\ $$$${by}\:{an}\:{ideal}\:{gas}\:{on}\:{the} \\ $$$${wall}\:{of}\:{container} \\ $$ Commented by ajfour last updated on…
Question Number 6205 by sanusihammed last updated on 18/Jun/16 $${Show}\:{that} \\ $$$$\int_{\mathrm{42}} ^{\mathrm{7}} \:\left(\mathrm{4}{x}\:−\:\mathrm{1}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} \:{dx}\:\:=\:\:\mathrm{15} \\ $$ Answered by FilupSmith last updated on 18/Jun/16 $$\int_{\mathrm{42}}…
Question Number 6204 by sanusihammed last updated on 18/Jun/16 $${Evaluate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{x}\left(\sqrt{\mathrm{3}{x}\:−\:\mathrm{4}}\right)\:{dx} \\ $$ Answered by FilupSmith last updated on 18/Jun/16 $${u}=\mathrm{3}{x}−\mathrm{4}\:\Rightarrow\:{du}=\mathrm{3}{dx}\:\rightarrow\:{dx}=\frac{\mathrm{1}}{\mathrm{3}}{du} \\ $$$${x}=\frac{\mathrm{1}}{\mathrm{3}}\left({u}+\mathrm{4}\right) \\…
Question Number 6203 by sanusihammed last updated on 18/Jun/16 Answered by nburiburu last updated on 25/Jun/16 $${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)…