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A-read-only-snapshot-of-questions-and-answers-on-this-forum-is-accessible-from-www-tinkutara-com-This-can-be-viewed-in-any-browser-and-also-included-plain-text-Version-2-079-has-been-uploaded-to-pl

Question Number 96114 by Tinku Tara last updated on 30/May/20 $$\mathrm{A}\:\mathrm{read}\:\mathrm{only}\:\mathrm{snapshot}\:\mathrm{of}\:\mathrm{questions} \\ $$$$\mathrm{and}\:\mathrm{answers}\:\mathrm{on}\:\mathrm{this}\:\mathrm{forum}\:\mathrm{is} \\ $$$$\mathrm{accessible}\:\mathrm{from}\:\mathrm{www}.\mathrm{tinkutara}.\mathrm{com}. \\ $$$$\mathrm{This}\:\mathrm{can}\:\mathrm{be}\:\mathrm{viewed}\:\mathrm{in}\:\mathrm{any}\:\mathrm{browser} \\ $$$$\mathrm{and}\:\mathrm{also}\:\mathrm{included}\:\mathrm{plain}\:\mathrm{text}. \\ $$$$ \\ $$$$\mathrm{Version}\:\mathrm{2}.\mathrm{079}\:\mathrm{has}\:\mathrm{been}\:\mathrm{uploaded} \\ $$$$\mathrm{to}\:\mathrm{playstore}\:\mathrm{and}\:\mathrm{will}\:\mathrm{be}\:\mathrm{available}…

Question-161626

Question Number 161626 by ZiYangLee last updated on 20/Dec/21 Commented by TheSupreme last updated on 20/Dec/21 $${f}\left({x},{y},\lambda\right)={x}−\mathrm{2}{y}+\lambda\left(\mathrm{4}{x}^{\mathrm{2}} +\mathrm{9}{y}^{\mathrm{2}} −\mathrm{16}{x}−\mathrm{54}{y}+\mathrm{61}\right) \\ $$$$\begin{cases}{\mathrm{1}+\lambda\left(\mathrm{8}{x}−\mathrm{16}\right)=\mathrm{0}}\\{−\mathrm{2}+\lambda\left(\mathrm{18}{y}−\mathrm{54}\right)=\mathrm{0}}\\{\mathrm{4}{x}^{\mathrm{2}} +\mathrm{9}{y}^{\mathrm{2}} −\mathrm{16}{x}−\mathrm{54}{y}+\mathrm{61}=\mathrm{0}}\end{cases} \\ $$$${x}=\mathrm{2}−\frac{\mathrm{1}}{\mathrm{8}\lambda}…

Question-30543

Question Number 30543 by mondodotto@gmail.com last updated on 23/Feb/18 Commented by abdo imad last updated on 23/Feb/18 $${the}\:{ch}.{x}−\frac{\mathrm{1}}{\mathrm{2}}={sint}\:{give} \\ $$$${I}=\:\int_{−\frac{\pi}{\mathrm{2}}} ^{\frac{\pi}{\mathrm{2}}} \:\mathrm{4}\pi\left(\frac{\mathrm{1}}{\mathrm{2}}\:+{sint}\right)\sqrt{\mathrm{1}−{sin}^{\mathrm{2}} {t}}\:{cost}\:{dt} \\ $$$${I}=\:\int_{−\frac{\pi}{\mathrm{2}}}…

Question-96060

Question Number 96060 by liki last updated on 29/May/20 Commented by liki last updated on 29/May/20 $$..\mathrm{please}\:\boldsymbol{\mathrm{M}}\mathrm{r}\:\boldsymbol{\mathrm{W}}\:\mathrm{and}\:\mathrm{others}\:\mathrm{help}\:\mathrm{this}\:\mathrm{question}! \\ $$ Commented by john santu last updated…