Question Number 204227 by abdomath last updated on 09/Feb/24 Answered by AST last updated on 09/Feb/24 $${Let}\:{y}={f}\left({x}\right)\Rightarrow{x}^{\mathrm{2}} {y}^{\mathrm{3}} =\left({x}+{y}\right)^{\mathrm{5}} \Rightarrow{x}^{\mathrm{2}} \left[{f}\left({x}\right)\right]^{\mathrm{3}} =\left({x}+{f}\left({x}\right)\right)^{\mathrm{5}} \\ $$$$\Rightarrow\frac{{d}}{{dx}}\left({x}^{\mathrm{2}} \left[{f}\left({x}\right)\right]^{\mathrm{3}}…
Question Number 204180 by naka3546 last updated on 08/Feb/24 $$\mathrm{Solve}\:\:\mathrm{this}. \\ $$$$ \\ $$$$\frac{{x}+{y}−{a}}{{x}+{y}−{b}}\:\centerdot\:\frac{{dy}}{{dx}}\:=\:\frac{{x}+{y}+{a}}{{x}+{y}+{b}} \\ $$ Answered by mr W last updated on 08/Feb/24 $${u}={x}+{y}…
Question Number 204157 by esmaeil last updated on 07/Feb/24 $${hello}\:{frinds} \\ $$$${I}\:{have}\:{a}\:{question} \\ $$$${when}\:{the}\:{most}\:{accurate}\:{math}\:{sofward} \\ $$$${it}\:{solves}\:{the}\:{most}\:{complex}\:{math} \\ $$$${problems}\:.{what}\:{is}\:{the}\:{need}\:{for}\:{us} \\ $$$${to}\:{spend}\:{hours}\:{to}\:{solve}\:{that}? \\ $$$$\left({Ofcourse}\:{i}\:{myself}\:{love}\:{math}\right) \\ $$$$\left({sorry}\:{i}'{m}\:{bad}\:{in}\:{english}\right) \\…
Question Number 204117 by mokys last updated on 06/Feb/24 $${solve}\:{for}\:\theta\:{in}\:{terms}\:{of}\:{y}\:{when}\:{y}\:=\:{e}^{\theta} \left({cos}\theta+{sin}\theta\right)\:\:\: \\ $$ Commented by mr W last updated on 06/Feb/24 $${impossible}! \\ $$ Commented…
Question Number 204105 by CrispyXYZ last updated on 06/Feb/24 $$\mathrm{find}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{of}\:\left(\mathrm{1}\:+\:\mathrm{cos}{x}\right)\:\mathrm{sin}{x} \\ $$$$\mathrm{without}\:\mathrm{derivative}. \\ $$ Answered by AST last updated on 06/Feb/24 $$\left(\mathrm{1}+{cosx}\right)\frac{\sqrt{\mathrm{3}}\left({sinx}\right)}{\:\sqrt{\mathrm{3}}}\leqslant\left(\frac{\mathrm{1}+{cos}\left({x}\right)+\sqrt{\mathrm{3}}{sinx}}{\mathrm{2}}\right)^{\mathrm{2}} ×\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}} \\ $$$$\leqslant\left(\frac{\mathrm{1}+\sqrt{\mathrm{1}^{\mathrm{2}}…
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Question Number 204081 by esmaeil last updated on 05/Feb/24 $${what}\:{is}\:{the}\:{area}\:{of}\:{the}\:{largest}\:{square} \\ $$$${that}\:{can}\:{be}\:{enclosed}\:{in}\:{a}\:{triangle} \\ $$$${with}\:{an}\:{area}\:{of}\:\mathrm{1}? \\ $$ Answered by mr W last updated on 06/Feb/24 Commented…
Question Number 203994 by Davidtim last updated on 03/Feb/24 $${d}\left(\frac{{x}!}{{dx}}\right)=? \\ $$ Answered by Frix last updated on 03/Feb/24 $$\forall{x}\in\mathbb{N}:\:{x}!:=\underset{{n}=\mathrm{1}} {\overset{{x}} {\prod}}{n};\:\mathrm{0}!:=\mathrm{1}\:\Rightarrow \\ $$$$\Rightarrow\:{x}!\:\mathrm{is}\:\mathrm{not}\:\mathrm{continuous}\:\Rightarrow \\…
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Question Number 203970 by CrispyXYZ last updated on 03/Feb/24 $$\mathrm{In}\:\mathrm{a}\:\mathrm{convex}\:\mathrm{quadrilateral}\:{ABCD}\:,\: \\ $$$$\mathrm{if}\:\mathrm{sin}{A}\:=\:\mathrm{cos}{B},\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of} \\ $$$${S}\:=\:\mathrm{3sin}{A}\:+\:\mathrm{4sin}{B}\:+\:\mathrm{5}\sqrt{\mathrm{2}}\mathrm{sin}{C}\:+\:\mathrm{5}\sqrt{\mathrm{2}}\mathrm{sin}{D}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com