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Category: Algebra

Question-172488

Question Number 172488 by mathlove last updated on 28/Jun/22 Answered by Rasheed.Sindhi last updated on 28/Jun/22 $$\mathrm{3}^{{y}} =\mathrm{3}^{{x}} −\mathrm{19940} \\ $$$${y}\mathrm{log}\:\mathrm{3}=\mathrm{log}\left(\mathrm{3}^{{x}} −\mathrm{19940}\right)\: \\ $$$${y}=\frac{\mathrm{log}\left(\mathrm{3}^{{x}} −\mathrm{19940}\right)}{\mathrm{log}\:\mathrm{3}}…

In-acute-ABC-holds-cyc-tan-A-a-cyc-cot-A-2-b-c-2-

Question Number 172480 by Shrinava last updated on 27/Jun/22 $$\mathrm{In}\:\mathrm{acute}\:\bigtriangleup\mathrm{ABC}\:\mathrm{holds}: \\ $$$$\underset{\boldsymbol{\mathrm{cyc}}} {\prod}\:\left(\mathrm{tan}\:\mathrm{A}\right)^{\boldsymbol{\mathrm{a}}} \:\:\leqslant\:\:\underset{\boldsymbol{\mathrm{cyc}}} {\prod}\:\left(\mathrm{cot}\:\frac{\mathrm{A}}{\mathrm{2}}\right)^{\frac{\boldsymbol{\mathrm{b}}\:+\:\boldsymbol{\mathrm{c}}}{\mathrm{2}}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

If-f-x-x-k-x-be-one-to-one-function-on-0-2-find-the-value-of-k-

Question Number 172452 by mnjuly1970 last updated on 27/Jun/22 $$ \\ $$$$\:\:\:\:\:\mathrm{I}{f}\:\:,\:{f}\left({x}\right)=\:\mid\:{x}\:−\:{k}\lfloor{x}\rfloor\mid\:{be}\: \\ $$$$\:{one}\:−{to}−{one}\:{function}\:{on}\:\left(\mathrm{0},\mathrm{2}\right) \\ $$$$\:\:\: \\ $$$$\:\:\:\:{find}\:{the}\:{value}\:{of}\:\:\:\:\:''\:\:\:\:{k}\:\:\:''. \\ $$$$ \\ $$ Answered by mahdipoor…

Question-172448

Question Number 172448 by Shrinava last updated on 27/Jun/22 Answered by Jamshidbek last updated on 28/Jun/22 $$\mathrm{Let}\:\:\frac{\mathrm{1}!!}{\mathrm{0}!}+\frac{\mathrm{3}!!}{\mathrm{1}!}+\frac{\mathrm{5}!!}{\mathrm{2}!}+…+\frac{\left(\mathrm{2n}+\mathrm{1}\right)!!}{\mathrm{n}!}=\mathrm{a}_{\mathrm{n}} \\ $$$$\mathrm{and}\:\mathrm{a}_{\mathrm{n}+\mathrm{1}} −\mathrm{a}_{\mathrm{n}} =\frac{\left(\mathrm{2n}+\mathrm{3}\right)!!}{\left(\mathrm{n}+\mathrm{1}\right)!} \\ $$$$\Omega=\underset{\mathrm{n}=\mathrm{0}} {\overset{\infty} {\sum}}\mathrm{a}_{\mathrm{n}}…