Question Number 5809 by Apoorva last updated on 28/May/16 Commented by Apoorva last updated on 28/May/16 $${please}\:{solve}\:{this}\:{limit} \\ $$ Answered by Yozzii last updated on…
Question Number 5807 by Rasheed Soomro last updated on 28/May/16 $$\mathcal{T}{own}\:\boldsymbol{\mathrm{A}}\:\:{is}\:\:\mathrm{36}\:{kilometers}\:{from}\: \\ $$$${town}\:\boldsymbol{\mathrm{B}}.\:\:{Two}\:{persons}\:{start}\:{to}\:{travel} \\ $$$${at}\:{the}\:{same}\:{time},\:{one}\:{from}\:\boldsymbol{\mathrm{A}}\:{to}\:\boldsymbol{\mathrm{B}} \\ $$$${and}\:{other}\:{from}\:\boldsymbol{\mathrm{B}}\:{to}\:\boldsymbol{\mathrm{A}}.\:{After}\:{meeting} \\ $$$${in}\:{a}\:{way}\:{the}\:{first}\:{person}\:{covers}\:{the} \\ $$$${remaining}\:{distance}\:{in}\:\mathrm{2}\:{hours}\:{and} \\ $$$${the}\:{second}\:\:{in}\:\mathrm{8}\:{hours}.\:{Determine}\:{their} \\ $$$${speed}.\:\:\:\:\:\left(\mathrm{From}\:\mathrm{a}\:\mathrm{book}\right)…
Question Number 136872 by I want to learn more last updated on 27/Mar/21 Commented by mr W last updated on 27/Mar/21 $${n}=\mathrm{5} \\ $$ Commented…
Question Number 5802 by sanusihammed last updated on 28/May/16 $${Solve}\:{simultaneously} \\ $$$$ \\ $$$$\mathrm{2}{x}\:+\:{y}\:−\:{z}\:=\:\mathrm{8}\:\:\:\:\:\:\:………..\:\left({i}\right) \\ $$$${x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:+\mathrm{2}{z}^{\mathrm{2}} \:=\:\mathrm{14}\:\:\:\:……….\:\left({ii}\right) \\ $$$$\mathrm{3}{x}^{\mathrm{3}} \:+\:\mathrm{4}{y}^{\mathrm{3}} \:+\:{z}^{\mathrm{3}} \:=\:\mathrm{195}\:\:………\:\left({iii}\right) \\…
Question Number 5800 by sumit last updated on 28/May/16 $$\int\frac{{cos}\mathrm{2}{x}}{{sin}^{\mathrm{2}} {x}\centerdot{cos}^{\mathrm{2}} {x}}{dx} \\ $$$$ \\ $$ Commented by Boma last updated on 09/Aug/19 Boma Answered…
Question Number 136868 by mnjuly1970 last updated on 27/Mar/21 $$\:\:\:\:\:\:\:\:\:……\:{nice}\:\:\:\:\:{calculus}…. \\ $$$$\:\:{prove}\:\:{that}\::: \\ $$$$\:{i}:\:\:\int_{−\infty} ^{\:\infty} \frac{{dx}}{\left(\mathrm{1}+{x}+{e}^{{x}} \right)^{\mathrm{2}} +\pi^{\mathrm{2}} }\:=\frac{\mathrm{2}}{\mathrm{3}} \\ $$$$\:{ii}:\:\int_{\mathrm{0}} ^{\:\infty} \frac{{sin}\left({tan}\left({x}\right)\right)}{{x}}{dx}=\frac{\pi}{\mathrm{2}}\left(\mathrm{1}−\frac{\mathrm{1}}{{e}}\right) \\ $$$$\:\:\:\:\:…
Question Number 5796 by FilupSmith last updated on 28/May/16 $$\mathrm{How}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{you}\:\mathrm{express} \\ $$$$\mathrm{30},\mathrm{030}\:\mathrm{as}\:\mathrm{the}\:\mathrm{product}\:\mathrm{of}\:\mathrm{4}\:\mathrm{positive}\:\mathrm{numbers}? \\ $$$$\left(\mathrm{excluding}\:\mathrm{1}\right) \\ $$ Commented by Rasheed Soomro last updated on 28/May/16 $${I}\:{didn}'{t}\:{think}\:\:{k},{l},{m},{n}\:{to}\:{be}\:{necessarily}\:{prime}!…
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Question Number 136866 by mohammad17 last updated on 27/Mar/21 Commented by mohammad17 last updated on 27/Mar/21 $${help}\:{me}\:{sir} \\ $$ Commented by mohammad17 last updated on…
Question Number 5792 by sanusihammed last updated on 28/May/16 $${Solve}\:{simultaneously}\: \\ $$$$ \\ $$$$\mathrm{2}{x}\:+\:{y}\:−\:{z}\:=\:\mathrm{8}\:\:\:\:\:\:\:\:……\:{equation}\left({i}\right) \\ $$$${x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:+\:\mathrm{2}{z}^{\mathrm{2}} \:=\:\mathrm{14}\:\:….\:{equation}\left({ii}\right) \\ $$$$\mathrm{3}{x}^{\mathrm{3}} \:+\:\mathrm{4}{x}^{\mathrm{3}} \:+\:{z}^{\mathrm{3}} \:\:=\:\mathrm{195}\:\:…..\:{equation}\left({iii}\right) \\…