Question Number 143781 by bemath last updated on 18/Jun/21 Answered by liberty last updated on 18/Jun/21 $$\mathrm{let}\:\mathrm{x}+\mathrm{1}=\:\mathrm{t}\Rightarrow\mathrm{f}\left(\mathrm{t}−\mathrm{1}\right)=\mathrm{y}=\frac{\left(\mathrm{t}+\mathrm{9}\right)\left(\mathrm{t}+\mathrm{1}\right)}{\mathrm{t}} \\ $$$$\mathrm{y}=\mathrm{t}+\mathrm{10}+\frac{\mathrm{9}}{\mathrm{t}}\:.\Rightarrow\:\mathrm{t}+\frac{\mathrm{9}}{\mathrm{t}}\:\mathrm{has}\:\mathrm{minimum}\:\mathrm{6}\:\mathrm{for}\:\mathrm{t}=\mathrm{3}\: \\ $$$$\mathrm{so}\:\mathrm{f}\left(\mathrm{t}\right)_{\mathrm{min}} =\mathrm{3}+\mathrm{10}+\frac{\mathrm{9}}{\mathrm{3}}=\mathrm{16} \\ $$ Answered…
Question Number 12708 by @ANTARES_VY last updated on 29/Apr/17 $$\boldsymbol{\mathrm{what}}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{values}}\:\:\boldsymbol{\alpha}. \\ $$$$\boldsymbol{\mathrm{y}}=\mathrm{2}\boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{x}}} −\boldsymbol{\alpha\mathrm{e}}^{−\boldsymbol{\mathrm{x}}} +\left(\mathrm{2}\boldsymbol{\alpha}+\mathrm{1}\right)\boldsymbol{\mathrm{x}}−\mathrm{3} \\ $$$$\boldsymbol{\mathrm{will}}\:\:\boldsymbol{\mathrm{feature}}\:\:\boldsymbol{\mathrm{all}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{outlets}} \\ $$$$\boldsymbol{\mathrm{growing}}. \\ $$ Terms of Service Privacy Policy…
Question Number 143783 by mnjuly1970 last updated on 18/Jun/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\Omega\::=\int_{−\infty} ^{\:\infty} \frac{{log}\left(\mathrm{2}+{x}^{\:\mathrm{2}} \right)}{\mathrm{4}+{x}^{\:\mathrm{2}} }{dx}=? \\ $$$$ \\ $$ Answered by mindispower last updated…
Question Number 12704 by @ANTARES_VY last updated on 29/Apr/17 $$\boldsymbol{\mathrm{y}}=\boldsymbol{\mathrm{sin}}\mathrm{2}\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{x}}\:\:\left(\boldsymbol{\mathrm{x}}\in\left[\mathrm{0};\boldsymbol{\pi}\right]\right)\:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{range}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}}. \\ $$ Answered by mrW1 last updated on 29/Apr/17 $${y}=\mathrm{sin}\:\mathrm{2}{x}−{x} \\ $$$${y}'=\mathrm{2cos}\:\mathrm{2}{x}−\mathrm{1} \\…
Question Number 12705 by @ANTARES_VY last updated on 29/Apr/17 $$\boldsymbol{\mathrm{this}}\:\:\boldsymbol{\mathrm{y}}=\boldsymbol{\mathrm{sin}}\frac{\boldsymbol{\mathrm{x}}}{\mathrm{2}}\:\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{range}}\:\:\boldsymbol{\mathrm{of}} \\ $$$$\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}}. \\ $$ Answered by Joel577 last updated on 29/Apr/17 $$\mathrm{Range} \\ $$$$−\mathrm{1}\:\leqslant\:{y}\:\leqslant\:\mathrm{1} \\…
Question Number 12703 by @ANTARES_VY last updated on 29/Apr/17 $$\boldsymbol{\mathrm{this}}\:\:\oint\left(\boldsymbol{\mathrm{x}}\right)=\frac{\boldsymbol{\mathrm{lnx}}^{\mathrm{2}} }{\mathrm{1}+\boldsymbol{\mathrm{ln}}^{\mathrm{2}} \boldsymbol{\mathrm{x}}}\:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{range}}\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}}. \\ $$ Answered by mrW1 last updated on 29/Apr/17 $${t}=\mathrm{ln}\:{x} \\…
Question Number 12697 by @ANTARES_VY last updated on 29/Apr/17 $$\boldsymbol{\mathrm{y}}=\mid\boldsymbol{\mathrm{x}}−\mathrm{2}\mid+\mathrm{2}\boldsymbol{\mathrm{x}}−\mathrm{3}\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{largest}}\:\:\boldsymbol{\mathrm{values}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}}. \\ $$ Answered by mrW1 last updated on 29/Apr/17 $${if}\:{x}\geqslant\mathrm{2}: \\ $$$${y}={x}−\mathrm{2}+\mathrm{2}{x}−\mathrm{3}{x}^{\mathrm{2}}…
Question Number 12694 by @ANTARES_VY last updated on 29/Apr/17 $$\oint\left(\boldsymbol{\mathrm{x}}\right)=\mathrm{9}^{\boldsymbol{\mathrm{x}}} +\mathrm{5}×\mathrm{3}^{−\mathrm{2}\boldsymbol{\mathrm{x}}} \:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{feature}} \\ $$$$\boldsymbol{\mathrm{set}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{values}}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 12632 by @ANTARES_VY last updated on 27/Apr/17 $$\boldsymbol{\mathrm{y}}=\frac{\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{\mathrm{x}}+\mathrm{9}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{\mathrm{x}}+\mathrm{5}}\:\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{values}}\:\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{feture}}\:\:\boldsymbol{\mathrm{set}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{prime}}\:\:\boldsymbol{\mathrm{numbers}}? \\ $$ Answered by abcd last updated on 27/Apr/17 Commented by…
Question Number 12626 by @ANTARES_VY last updated on 27/Apr/17 $$\mathrm{2}\boldsymbol{\mathrm{cos}}^{\mathrm{2}} \boldsymbol{\alpha}−\mathrm{3}\boldsymbol{\mathrm{sin}\alpha} \\ $$$$\boldsymbol{\mathrm{Find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{best}}\:\:\boldsymbol{\mathrm{metaphore}} \\ $$ Commented by prakash jain last updated on 27/Apr/17 $$\mathrm{Are}\:\mathrm{u}\:\mathrm{using}\:\mathrm{google}\:\mathrm{translate}? \\…