Question Number 222924 by chidera last updated on 11/Jul/25 Answered by gabthemathguy25 last updated on 11/Jul/25 $$\mathrm{8}×\mathrm{70}=\mathrm{560}\:{kg} \\ $$$$\mathrm{1}\:\mathrm{tonne}\:=\:\mathrm{1000}\:\mathrm{kg} \\ $$$$\Rightarrow\frac{\mathrm{560}}{\mathrm{1000}}=\mathrm{0}.\mathrm{56}\:\mathrm{tonnes} \\ $$ Answered by…
Question Number 222937 by Nicholas666 last updated on 11/Jul/25 $$ \\ $$$$\:\:\:\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{following}\:\mathrm{identity}\:\mathrm{holds}\::\:\:\:\: \\ $$$$\:\:\:\underset{\lambda\in\mathbb{Z}\left[{i}\right]} {\sum}\:\left(\frac{\mathrm{1}}{\left(\mathrm{1}\:+\:\mathrm{3}\lambda\right)^{\mathrm{3}} }\right)\:=\:\frac{\pi^{\mathrm{9}/\mathrm{2}} \:\sqrt{\mathrm{1}\:+\:\sqrt{\mathrm{3}\:}}}{\mathrm{2}^{\mathrm{5}/\mathrm{4}} \:\:\mathrm{3}^{\mathrm{27}/\mathrm{8}} \:\Gamma\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\mathrm{6}} \:}\:\:\:\:\: \\ $$$$\:\:\:\:\mathrm{Where}\:\mathbb{Z}\left[{i}\right]\:=\:\left\{{a}\:+\:{bi}\::\:{a},{b}\:\in\:\mathbb{Z}\right\}\:\mathrm{denotes}\:\mathrm{gaussian}\:\mathrm{integers}\:!\:\:\:\:\:\:\:\:\: \\ $$$$\: \\…
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Question Number 222781 by MathematicalUser2357 last updated on 07/Jul/25 $$\:\cancel{\underline{\underbrace{\succapprox}}} \\ $$ Answered by AntonCWX8 last updated on 07/Jul/25 $$ \\ $$ Commented by MathematicalUser2357…
Question Number 222783 by MathematicalUser2357 last updated on 07/Jul/25 $$\:\underbrace{ } \\ $$ Answered by AntonCWX8 last updated on 07/Jul/25 $${f}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{5}}{x}^{\mathrm{5}} −\frac{\mathrm{5}}{\mathrm{3}}{x}^{\mathrm{3}} +\mathrm{4}{x}+\mathrm{2} \\ $$$${f}'\left({x}\right)={x}^{\mathrm{4}}…
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Question Number 222592 by Tawa11 last updated on 30/Jun/25 $$\underset{\mathrm{n}\:=\:\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\mathrm{cosh}^{\mathrm{4}} \left[\mathrm{n}\:\mathrm{ln}\left(\sqrt{\mathrm{2}}\:\:+\:\:\mathrm{1}\right)\right]} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com