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}\: \\ $$$$ \\ $$$$\mathrm{2}{x}\:+\:{y}\:−\:{z}\:=\:\mathrm{8}\:\:\:\:\:\:\:\:……\:{equation}\left({i}\right) \\ $$$${x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:+\:\mathrm{2}{z}^{\mathrm{2}} \:=\:\mathrm{14}\:\:….\:{equation}\left({ii}\right) \\ $$$$\mathrm{3}{x}^{\mathrm{3}} \:+\:\mathrm{4}{x}^{\mathrm{3}} \:+\:{z}^{\mathrm{3}} \:\:=\:\mathrm{195}\:\:…..\:{equation}\left({iii}\right) \\…
Question Number 136861 by bramlexs22 last updated on 27/Mar/21 $$\mathrm{Given}\:\mathrm{f}\left(\sqrt{\mathrm{x}+\mathrm{9}}\:\right)=\:\mathrm{5x}\:\mathrm{and}\:\mathrm{f}\left(\mathrm{a}\right)=\mathrm{4a}^{\mathrm{2}} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\:\mathrm{a}. \\ $$$$ \\ $$ Answered by EDWIN88 last updated on 27/Mar/21 $$\:\mathrm{we}\:\mathrm{have}\:\begin{cases}{\mathrm{a}=\sqrt{\mathrm{x}+\mathrm{9}}\:,\:\mathrm{x}=\mathrm{a}^{\mathrm{2}} −\mathrm{9}}\\{\mathrm{4a}^{\mathrm{2}}…
Question Number 71326 by sadimuhmud 136 last updated on 13/Oct/19 $$\left(−\mathrm{64}\right)^{\frac{\mathrm{1}}{\mathrm{6}}} =?\left(\boldsymbol{\mathrm{I}}\mathrm{s}\:\mathrm{there}\:\mathrm{any}\:\mathrm{short}\:\mathrm{cut}\:\mathrm{for}\:\mathrm{mcq}\right) \\ $$ Answered by MJS last updated on 13/Oct/19 $$\mathrm{2}^{\mathrm{6}} =\mathrm{64}\:\Rightarrow\:\sqrt[{\mathrm{6}}]{−\mathrm{64}}=\mathrm{2i} \\ $$…