Question Number 6328 by Rasheed Soomro last updated on 24/Jun/16 $$\mathrm{Sum}\:\mathrm{0}.\mathrm{7}+\mathrm{0}.\mathrm{71}+\mathrm{0}.\mathrm{72}+….\mathrm{to}\:\mathrm{100}\:\mathrm{terms}. \\ $$ Commented by FilupSmith last updated on 24/Jun/16 $$\mathrm{difference}\:{d}\:=\:\mathrm{0}.\mathrm{01} \\ $$$$\mathrm{arithmetic}\:\mathrm{series}: \\ $$$$\therefore\:{S}=\frac{{n}}{\mathrm{2}}\left(\mathrm{2}{a}+\left({n}−\mathrm{1}\right){d}\right)…
Question Number 6317 by sanusihammed last updated on 23/Jun/16 $${Solve}\:{the}\:{system}\:{of}\:{equation}\: \\ $$$$ \\ $$$${x}\:+\:{y}\:−\:{z}\:=\:\mathrm{9}\:\:\:……….\:{equation}\:\left({i}\right) \\ $$$${x}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}\:} +\:{z}^{\mathrm{2}\:} =\:\mathrm{99}\:\:………..\:{equation}\:\left({ii}\right) \\ $$$${y}^{\mathrm{2}} \:=\:{xz}\:\:\:………..\:{equation}\left({iii}\right) \\ $$ Commented…
Question Number 137379 by oooooooo last updated on 02/Apr/21 Answered by Ar Brandon last updated on 02/Apr/21 $$\mathrm{I}=\int_{\mathrm{0}} ^{\frac{\mathrm{a}}{\mathrm{2}}} \sqrt{\frac{\mathrm{x}}{\mathrm{a}−\mathrm{x}}}\mathrm{dx}=\int_{\mathrm{0}} ^{\frac{\mathrm{a}}{\mathrm{2}}} \frac{\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{2}}} }{\:\sqrt{\mathrm{a}−\mathrm{x}}}\mathrm{dx} \\ $$$$\mathrm{u}=\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 137376 by benjo_mathlover last updated on 02/Apr/21 $$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{9}}+\frac{\mathrm{1}}{\mathrm{15}}+\frac{\mathrm{1}}{\mathrm{25}}+…+\frac{\mathrm{1}}{\mathrm{45}}+\frac{\mathrm{1}}{\mathrm{75}}+…\:=? \\ $$ Answered by EDWIN88 last updated on 02/Apr/21 $$\begin{array}{|c|c|c|c|c|}{}&\hline{\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{0}} }}&\hline{\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{1}} }}&\hline{\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }}&\hline{\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{3}} }}&\hline{…}&\hline{\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{n}} }}&\hline{\underset{\mathrm{n}=\mathrm{0}}…
Question Number 137374 by oooooooo last updated on 02/Apr/21 Answered by mr W last updated on 02/Apr/21 $${let}\:{OA}={OD}={R}={radius} \\ $$$$\left(\frac{{R}}{\:\sqrt{\mathrm{2}}}−\mathrm{4}\right)^{\mathrm{2}} +\left(\frac{{R}}{\:\sqrt{\mathrm{2}}}+\mathrm{3}\right)^{\mathrm{2}} ={R}^{\mathrm{2}} \:\:\:…\left({i}\right) \\ $$$$\left(\frac{{R}}{\:\sqrt{\mathrm{2}}}−{x}\right)^{\mathrm{2}}…
Question Number 6302 by sanusihammed last updated on 22/Jun/16 Commented by Rasheed Soomro last updated on 22/Jun/16 $$\mathrm{3}^{{x}} +\mathrm{4}^{{x}} =\mathrm{25} \\ $$$$\mathrm{Since}\:\mathrm{3}^{\mathrm{x}} ,\:\mathrm{4}^{{x}} >\mathrm{0}\:\:\forall{x}\in\mathbb{Z} \\…
Question Number 71824 by mr W last updated on 20/Oct/19 $${solve}\: \\ $$$${x}^{{x}^{{x}^{\mathrm{2019}} } } =\mathrm{2019} \\ $$ Commented by mr W last updated on…
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Question Number 6275 by Rasheed Soomro last updated on 21/Jun/16 $${Solve}\:{the}\:{system}\:{of}\:{following}\:{equation} \\ $$$${xy}−{z}=\mathrm{3} \\ $$$${yz}−{x}=\mathrm{18} \\ $$$${zx}−{y}=\mathrm{6} \\ $$ Commented by sanusihammed last updated on…
Question Number 71809 by TawaTawa last updated on 20/Oct/19 Answered by tw000001 last updated on 21/Oct/19 $$\mathrm{I}\:\mathrm{have}\:\mathrm{showed}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{on}\:\mathrm{No}.\mathrm{71776}. \\ $$ Terms of Service Privacy Policy Contact:…