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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:…
Question Number 71776 by TawaTawa last updated on 19/Oct/19 Answered by tw000001 last updated on 22/Oct/19 $$\mathrm{Use}\:\mathrm{Harmonic}\:\mathrm{series}\:\mathrm{to}\:\mathrm{solve}. \\ $$$${A}=\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}−\frac{\mathrm{1}}{\mathrm{4}}+…+\frac{\mathrm{1}}{\mathrm{2015}}−\frac{\mathrm{1}}{\mathrm{2016}} \\ $$$$=\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+…+\frac{\mathrm{1}}{\mathrm{2016}}\right)−\mathrm{2}\left(\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{4}}+\frac{\mathrm{1}}{\mathrm{6}}+…+\frac{\mathrm{1}}{\mathrm{2016}}\right) \\ $$$$=\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+…+\frac{\mathrm{1}}{\mathrm{2016}}\right)−\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+…+\frac{\mathrm{1}}{\mathrm{1008}}\right) \\ $$$$={H}_{\mathrm{2016}}…
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Question Number 71761 by TawaTawa last updated on 19/Oct/19 $$\mathrm{Find}\:\mathrm{at}\:\mathrm{least}\:\mathrm{the}\:\mathrm{first}\:\mathrm{four}\:\mathrm{non}\:\mathrm{zero}\:\mathrm{term}\:\mathrm{in}\:\mathrm{a}\:\mathrm{power} \\ $$$$\mathrm{series}\:\mathrm{expansion}\:\mathrm{about}\:\:\mathrm{x}\:\:=\:\:\mathrm{0}\:\:\mathrm{for}\:\mathrm{a}\:\mathrm{general}\:\mathrm{solution} \\ $$$$\mathrm{to}\:\:\:\:\mathrm{z}''\:\:−\:\:\mathrm{x}^{\mathrm{2}} \mathrm{z}\:\:\:=\:\:\mathrm{0} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 71756 by aliesam last updated on 19/Oct/19 $${A}=\sqrt[{\mathrm{3}}]{\mathrm{8}+\mathrm{3}\sqrt{\mathrm{21}}}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{8}−\mathrm{3}\sqrt{\mathrm{21}}} \\ $$$$ \\ $$$${find}\:{A} \\ $$ Answered by MJS last updated on 19/Oct/19 $${A}={p}^{\mathrm{1}/\mathrm{3}} +{q}^{\mathrm{1}/\mathrm{3}}…
Question Number 137290 by JulioCesar last updated on 31/Mar/21 Answered by EDWIN88 last updated on 01/Apr/21 $$\mathrm{Ostrogradski}\:\mathrm{Integral}\: \\ $$ Answered by MJS_new last updated on…
Question Number 6216 by sanusihammed last updated on 18/Jun/16 $${If}\:\:\:\:\:{x}^{\mathrm{2}} \:\:=\:\:\mathrm{2}^{{x}} \:\:\:\:\:\:{find}\:\:{x}\: \\ $$$$ \\ $$$${please}\:{i}\:{need}\:{workings} \\ $$ Answered by prakash jain last updated on…
Question Number 71750 by TawaTawa last updated on 19/Oct/19 $$\int\:\mathrm{cos}^{\mathrm{3}} \theta\:\left(\mathrm{1}\:−\:\mathrm{sin}^{\mathrm{3}} \theta\right) \\ $$$$\mathrm{Using}\:\mathrm{beta}\:\mathrm{function} \\ $$ Commented by mathmax by abdo last updated on 20/Oct/19…