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Solve-x-x-27-x-3-

Question Number 204142 by Tawa11 last updated on 06/Feb/24 $$\mathrm{Solve}:\:\:\mathrm{x}^{\mathrm{x}} \:\:=\:\:\mathrm{27}^{\mathrm{x}\:\:−\:\:\mathrm{3}} \\ $$ Answered by Frix last updated on 07/Feb/24 $${x}^{{x}} =\mathrm{27}^{{x}−\mathrm{3}} \\ $$$${x}\mathrm{ln}\:{x}\:=\left({x}−\mathrm{3}\right)\mathrm{ln}\:\mathrm{27} \\…

find-the-maximum-of-1-cosx-sinx-without-derivative-

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}}…

Find-the-possible-values-for-x-and-y-if-10cosx-12cos-x-y-5-10sinx-12sin-x-y-20-66-

Question Number 204101 by necx122 last updated on 06/Feb/24 $${Find}\:{the}\:{possible}\:{values}\:{for}\:{x}\:{and}\:{y}\:{if} \\ $$$$\mathrm{10}{cosx}\:+\:\mathrm{12}{cos}\left({x}+{y}\right)=\mathrm{5} \\ $$$$\mathrm{10}{sinx}\:+\:\mathrm{12}{sin}\left({x}+{y}\right)=\mathrm{20}.\mathrm{66} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

a-b-x-y-R-a-b-23-ax-by-79-ax-2-by-2-217-ax-3-by-3-661-Find-ax-4-by-4-

Question Number 204129 by hardmath last updated on 06/Feb/24 $$\mathrm{a}\:,\:\mathrm{b}\:,\:\mathrm{x}\:,\:\mathrm{y}\:\in\:\mathbb{R} \\ $$$$\mathrm{a}\:+\:\mathrm{b}\:=\:\mathrm{23} \\ $$$$\mathrm{ax}\:+\:\mathrm{by}\:=\:\mathrm{79} \\ $$$$\mathrm{ax}^{\mathrm{2}} \:+\:\mathrm{by}^{\mathrm{2}} \:=\:\mathrm{217} \\ $$$$\mathrm{ax}^{\mathrm{3}} \:+\:\mathrm{by}^{\mathrm{3}} \:=\:\mathrm{661} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{ax}^{\mathrm{4}} \:+\:\mathrm{by}^{\mathrm{4}}…