Category: Algebra

Question Number 97206 by O Predador last updated on 07/Jun/20 Answered by john santu last updated on 07/Jun/20 $$\mathrm{let}\sqrt{\mathrm{x}+3}=\mathrm{t}\Rightarrow \mathrm{x}={\mathrm{t}}^2-3$$$$\mathrm{P}\left(\mathrm{t}\right)\:=\:\frac{\mathrm{t}^{\mathrm{2}} −\mathrm{6}}{\mathrm{t}^{\mathrm{2}} −\mathrm{3}}.\Rightarrow\mathrm{P}\left(\mathrm{Q}\left(\mathrm{x}\right)\right)=\:\frac{\mathrm{Q}\left(\mathrm{x}\right)^{\mathrm{2}} −\mathrm{6}}{\mathrm{Q}\left(\mathrm{x}\right)^{\mathrm{2}}…

Question Number 162721 by mnjuly1970 last updated on 31/Dec/21 $$$$$$calculate$$$$f\left(x\right)=\frac{1}{4(1+cos\left(\frac{x}{2}\right))}+\frac{1}{9(1-cos\left(\frac{x}{2}\right))}(x\ne 2k\pi ,k\in \mathbb{Z})$$$$f_{min}=?$$$$\mathcal{A}dapted\mathcal{F}rom\mathcal{I}nstagram$$$$$$ Answered by…

Question Number 162715 by tounghoungko last updated on 31/Dec/21 $$\mid \mid x-1\mid -5\mid ⩾2hassolutionset$$$$isa⩽x⩽borx⩽c\cup x⩾d.$$$$Find\frac{a+d}{b+c}.$$ Answered by bobhans last updated on 01/Jan/22 $$\:\mid\mid\mathrm{x}−\mathrm{1}\mid−\mathrm{5}\mid\:\geqslant\mathrm{2}\:\Rightarrow\:\left(\mid\mathrm{x}−\mathrm{1}\mid−\mathrm{7}\right)\left(\mid\mathrm{x}−\mathrm{1}\mid−\mathrm{3}\right)\geqslant\mathrm{0} \…

Question Number 97134 by fortunat last updated on 06/Jun/20 $$findthelaplacetransformof{t}^{\frac{3}{2}}erf\left(t\right)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 97135 by  M±th+et+s last updated on 06/Jun/20 $$provethat:$$$$sin\left(16x\right)cot\left(x\right)=1+2cos\left(2x\right)+2cos\left(4x\right)+2cos\left(6x\right)+\dots +2cos\left(16x\right)$$ Commented by prakash jain last updated on 07/Jun/20 $$\mathrm{cos}\:{x}=\frac{\mathrm{1}}{\mathrm{2}}\left({e}^{{ix}} +{e}^{−{ix}} \right)…