Category: Algebra

Question Number 156467 by MathSh last updated on 11/Oct/21 $$\mathrm{if}\mathrm{x};\mathrm{y};\mathrm{z}⩾0\mathrm{and}4\mathrm{xyz}+4\mathrm{xy}+2\mathrm{yz}+3\mathrm{zx}=6$$$$\mathrm{prove}\mathrm{that}:$$$$2\mathrm{x}+3\mathrm{y}+4\mathrm{z}⩾4(\mathrm{xy}+\mathrm{yz}+\mathrm{zx})$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 25390 by sand33pkuma4@gmail.com last updated on 09/Dec/17 $$\sin 90$$ Answered by Rasheed.Sindhi last updated on 09/Dec/17 $$\sin 2\theta =2\sin \theta \cos \theta$$$$\sin 90=\sin \left(2\times 45\right)$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2}\:\mathrm{sin}\:\mathrm{45}\:\mathrm{cos}\:\mathrm{45} \…

Question Number 156453 by MathSh last updated on 11/Oct/21 $$\mathrm{Solve}\mathrm{for}\mathrm{real}\mathrm{numbers}:$$$$9+{\log }_2\frac{\mathrm{x}}{{\mathrm{x}}^4+48}=2+\frac{2}{\sqrt{\mathrm{x}-1}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 156452 by MathSh last updated on 11/Oct/21 $$\mathrm{Find}\mathrm{x};\mathrm{y};\mathrm{z}⩾0\mathrm{such}\mathrm{that}:$$$$$$\{\begin{array}{l}\mathrm{x}-\mathrm{y}-\mathrm{z}=\sin \mathbf{x}-\sin \mathbf{y}-\sin \mathbf{z}\\ {\mathrm{x}}^2-{\mathrm{y}}^2-{\mathrm{z}}^2={\sin }^2\mathbf{x}-{\sin }^2\mathbf{y}-{\sin }^2\mathbf{z}\\ {\mathrm{x}}^3-{\mathrm{y}}^3-{\mathrm{z}}^3={\sin }^3\mathbf{x}-{\sin }^3\mathbf{y}-{\sin }^3\mathbf{z}\end{array}$$ \…

Question Number 25381 by Tinkutara last updated on 09/Dec/17 $$\mathrm{The}\mathrm{first}\mathrm{term}\mathrm{of}\mathrm{a}\mathrm{sequence}\mathrm{is}1,\mathrm{the}$$$$\mathrm{second}\mathrm{is}2\mathrm{and}\mathrm{every}\mathrm{term}\mathrm{is}\mathrm{the}\mathrm{sum}\mathrm{of}$$$$\mathrm{the}\mathrm{two}\mathrm{preceding}\mathrm{terms}.\mathrm{The}{n}^{\mathrm{th}}\mathrm{term}$$$$\mathrm{is}.$$ Answered by prakash jain last updated…