Question Number 62201 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\int\int_{{W}} \:\:{e}^{{x}−\mathrm{2}{y}} {sin}\left({x}+\mathrm{2}{y}\right)\:{dxdy} \\ $$$${W}\:=\left\{\left({x},{y}\right)^{\mathrm{2}} /\:\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1}\:\:{and}\:\:\mathrm{2}\leqslant{y}\leqslant\sqrt{\mathrm{5}}\right\} \\ $$ Commented by mathmax by abdo last…
Question Number 62200 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\frac{{ln}\left(\mathrm{1}+{x}+{sinx}\right)−{ln}\left(\mathrm{1}+{sin}\left(\mathrm{2}{x}\right)\right)}{{x}^{\mathrm{2}} } \\ $$ Commented by maxmathsup by imad last updated on 18/Jun/19…
Question Number 62199 by maxmathsup by imad last updated on 17/Jun/19 $${let}\:{f}\left({x}\right)\:={e}^{−\frac{\mathrm{1}}{{x}}} \:\:\:\:\:{determine}\:{f}^{\left({n}\right)} \:{by}\:{relation}\:{of}\:{recurrence}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62198 by maxmathsup by imad last updated on 17/Jun/19 $${find}\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]} \:\:\:\:\frac{{x}^{\mathrm{2}} −{y}^{\mathrm{2}} }{\mathrm{3}−\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }}\:{dxdy}\:. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 127732 by aseer imad last updated on 01/Jan/21 $${z}={x}+{iy} \\ $$$${why}\:\frac{{f}\left({z}\right)}{{z}−{a}}\:{not}\:{analytical}?\:/\:{not}\:{analytical}\:{at}\:{z}={a}? \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62197 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\:\:\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }{sin}\left(\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }\right){dxdy} \\ $$ Commented by mathmax by abdo…
Question Number 62196 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{ln}\left(\mathrm{2}+{e}^{−{t}^{\mathrm{2}} } \right)}{{t}^{\mathrm{2}} \:+\mathrm{3}}{dt} \\ $$ Commented by mathmax by abdo last…
Question Number 62195 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\:{A}_{{n}} =\int_{−\infty} ^{+\infty} \:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right)^{{n}} }\:\:\:{with}\:{n}\:{integr}\:{natural}\left({n}\geqslant\mathrm{1}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 127731 by Tosin Okunowo last updated on 01/Jan/21 $$\mathrm{y}\:=\:\mathrm{x}^{\mathrm{2}} \:……..\left[\mathrm{1}\right] \\ $$$$\mathrm{At}\:\mathrm{Q},\:\mathrm{y}\:+\:\delta\mathrm{y}\:=\:\left(\mathrm{x}+\delta\mathrm{x}\right)^{\mathrm{2}} \\ $$$$\mathrm{y}+\delta\mathrm{y}\:=\:\mathrm{x}^{\mathrm{2}} +\mathrm{2x}.\delta\mathrm{x}+\left(\delta\mathrm{x}\right)^{\mathrm{2}} …..\left[\mathrm{2}\right] \\ $$$$\mathrm{Subtracting}\:\left[\mathrm{1}\right]\:\mathrm{from}\:\left[\mathrm{2}\right] \\ $$$$\mathrm{y}+\delta\mathrm{y}=\:\mathrm{x}^{\mathrm{2}} +\mathrm{2x}.\delta\mathrm{x}+\left(\delta\mathrm{x}\right)^{\mathrm{2}} \\ $$$$\mathrm{y}\:\:\:\:\:\:\:\:\:=\:\mathrm{x}^{\mathrm{2}}…
Question Number 62192 by Sardor2211 last updated on 17/Jun/19 Answered by mr W last updated on 17/Jun/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{3}} }{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}} ^{\mathrm{1}}…