Question Number 5337 by Junaid Mirza last updated on 09/May/16 Commented by prakash jain last updated on 09/May/16 $$\mathrm{4}\:\mathrm{is}\:\mathrm{correct}. \\ $$$$\mathrm{Relative}\:\mathrm{refractive}\:\mathrm{index}\:\:_{\mathrm{1}} \mu_{\mathrm{2}} =\frac{\mu_{\mathrm{2}} }{\mu_{\mathrm{1}} }…
Question Number 70873 by Abdo msup. last updated on 09/Oct/19 $${calculate}\:\int\int_{\left[\mathrm{1},\mathrm{3}\right]^{\mathrm{2}} } \:\:\:{e}^{−{x}−{y}} \:{ln}\left(\mathrm{2}{x}+{y}\right){dxdy} \\ $$ Answered by mind is power last updated on 09/Oct/19…
Question Number 5336 by Junaid Mirza last updated on 09/May/16 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136405 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{if}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{3}} −\mathrm{3x}+\mathrm{2}\:\:\mathrm{determine}\:\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right)\:\mathrm{and}\:\int\:\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{nf}\left(\mathrm{x}\right)\right)\mathrm{dx}\:\:\mathrm{with} \\ $$$$\mathrm{n}\:\mathrm{integr} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 70870 by Abdo msup. last updated on 09/Oct/19 $${let}\:{f}\left({x}\right)=\int_{−\infty} ^{+\infty} \:\:\frac{{dt}}{\left({t}^{\mathrm{2}} −\mathrm{2}{t}\:+{x}^{\mathrm{2}} \right)^{\mathrm{4}} }\:\:{with}\:\:\mid{x}\mid>\mathrm{1} \\ $$$${and}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{1}\right){find}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{also}\:{g}\left({x}\right)=\int_{−\infty} ^{+\infty} \:\:\frac{{dt}}{\left({t}^{\mathrm{2}} −\mathrm{2}{t}\:+{x}^{\mathrm{2}}…
Question Number 136404 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{calculate}\:\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\:\:\frac{\mathrm{n}\left(−\mathrm{1}\right)^{\mathrm{n}} }{\left(\mathrm{2n}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{n}+\mathrm{3}\right)} \\ $$ Answered by mindispower last updated on 21/Mar/21…
Question Number 70871 by Abdo msup. last updated on 09/Oct/19 $$\:{calculate}\:{f}\left({x}\right)=\int_{−\infty} ^{+\infty} \:\frac{{cos}\left({x}\left(\mathrm{1}+{t}^{\mathrm{2}} \right)\right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt}\:{with}\:{x}\geqslant\mathrm{0} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 5334 by Rasheed Soomro last updated on 08/May/16 $$\mathrm{A}\:\boldsymbol{\mathrm{sphere}}\:\mathrm{of}\:\boldsymbol{\mathrm{radius}}\:\boldsymbol{\mathrm{r}}\:\:\mathrm{contains}\:\mathrm{a}\:\boldsymbol{\mathrm{cyllinder}}\:\mathrm{of}\:\mathrm{possible} \\ $$$$\mathrm{largest}\:\boldsymbol{\mathrm{volume}}.\boldsymbol{\mathrm{D}}\mathrm{etermine}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{the}\:\boldsymbol{\mathrm{cyllinder}}. \\ $$ Commented by Rasheed Soomro last updated on 10/May/16 $$\mathrm{I}\:\mathrm{believe}\:\mathrm{that}\:\mathrm{the}\:\mathrm{cyllinder}\:\mathrm{of}\:\mathrm{possible}\:\mathrm{largest}\:\mathrm{volume}\: \\…
Question Number 136406 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{calculate}\:\:\mathrm{A}_{\lambda} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{cos}^{\mathrm{4}} \mathrm{x}}{\left(\mathrm{x}^{\mathrm{2}} \:+\lambda^{\mathrm{2}} \right)^{\mathrm{2}} }\mathrm{dx} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{cos}^{\mathrm{4}} \mathrm{x}}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{3}\right)^{\mathrm{2}}…
Question Number 136401 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{4}} \:+\mathrm{1}}\mathrm{dx} \\ $$ Answered by Dwaipayan Shikari last updated on…