Question Number 12619 by @ANTARES_VY last updated on 27/Apr/17 $$\boldsymbol{\alpha\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{bx}}+\boldsymbol{\mathrm{c}}. \\ $$$$\boldsymbol{\mathrm{y}}\left(\mathrm{8}\right)=\mathrm{64}\boldsymbol{\alpha}+\mathrm{8}\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=\mathrm{0}.\:\:\boldsymbol{\mathrm{max}} \\ $$$$\boldsymbol{\mathrm{y}}\left(\mathrm{6}\right)=\mathrm{36}\boldsymbol{\alpha}+\mathrm{6}\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=−\mathrm{12}\:\:\boldsymbol{\mathrm{min}} \\ $$$$\sqrt{\boldsymbol{\alpha}+\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}}=??? \\ $$ Commented by prakash jain last updated…
Question Number 12620 by @ANTARES_VY last updated on 27/Apr/17 $$\boldsymbol{\alpha\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{bx}}+\boldsymbol{\mathrm{c}}. \\ $$$$\boldsymbol{\mathrm{y}}\left(\mathrm{1}\right)=\boldsymbol{\alpha}+\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=\mathrm{3}\:\:\boldsymbol{\mathrm{max}} \\ $$$$\boldsymbol{\mathrm{y}}\left(−\mathrm{1}\right)=\boldsymbol{\alpha}−\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=\mathrm{0}\:\:\boldsymbol{\mathrm{min}}. \\ $$$$\boldsymbol{\mathrm{y}}\left(\mathrm{5}\right)=\mathrm{25}\boldsymbol{\alpha}+\mathrm{5}\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=????? \\ $$ Commented by 9(/’D-B 3HE1H last updated…
Question Number 12601 by @ANTARES_VY last updated on 26/Apr/17 $$\boldsymbol{\mathrm{y}}=\frac{\boldsymbol{\mathrm{x}}^{\mathrm{3}} }{\mathrm{3}}+\mathrm{2}\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{5}\boldsymbol{\mathrm{x}}+\mathrm{7}\:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{critical}}\:\:\boldsymbol{\mathrm{points}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}} \\ $$ Answered by mrW1 last updated on 26/Apr/17 $$\boldsymbol{\mathrm{y}}=\frac{\boldsymbol{\mathrm{x}}^{\mathrm{3}} }{\mathrm{3}}+\mathrm{2}\boldsymbol{\mathrm{x}}^{\mathrm{2}}…
Question Number 12596 by @ANTARES_VY last updated on 26/Apr/17 $$\boldsymbol{\mathrm{y}}=−\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{bx}}+\boldsymbol{\mathrm{c}}\:\:\:\:\:\:\boldsymbol{\mathrm{x}}=−\mathrm{1} \\ $$$$\boldsymbol{\mathrm{point}}\:\:\boldsymbol{\mathrm{function}}\:\:\boldsymbol{\mathrm{accepts}}\:\:\:\boldsymbol{\mathrm{a}}\:\:\boldsymbol{\mathrm{maximum}} \\ $$$$\boldsymbol{\mathrm{value}}\:\:\boldsymbol{\mathrm{equal}}\:\:\boldsymbol{\mathrm{to}}\:\:\mathrm{5}.\:\:\boldsymbol{\mathrm{Find}}\:\:\boldsymbol{\mathrm{y}}\left(\mathrm{1}\right). \\ $$ Answered by ajfour last updated on 26/Apr/17 $${y}={c}−\left[\left({x}−\frac{{b}}{\mathrm{2}}\right)^{\mathrm{2}}…
Question Number 12591 by @ANTARES_VY last updated on 26/Apr/17 $$\boldsymbol{\mathrm{This}} \\ $$$$\oint\left(\boldsymbol{\mathrm{x}}\right)=\mathrm{3}−\frac{\boldsymbol{\mathrm{x}}^{\mathrm{2}} }{\boldsymbol{\mathrm{x}}^{\mathrm{4}} +\mathrm{3}\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{1}}\:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{sphere}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{function}}\:\:\boldsymbol{\mathrm{values}} \\ $$ Commented by ajfour last updated on…
Question Number 12580 by @ANTARES_VY last updated on 26/Apr/17 $$\boldsymbol{\mathrm{Find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{smaillest}}\:\:\boldsymbol{\mathrm{value}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{sum}} \\ $$$$\boldsymbol{\mathrm{x}}\left(\boldsymbol{\mathrm{x}}+\mathrm{1}\right)\left(\boldsymbol{\mathrm{x}}+\mathrm{2}\right)\left(\boldsymbol{\mathrm{x}}+\mathrm{3}\right). \\ $$ Answered by ajfour last updated on 26/Apr/17 $$\left({x}^{\mathrm{2}} +\mathrm{3}{x}\right)\left({x}^{\mathrm{2}}…
Question Number 12562 by @ANTARES_VY last updated on 25/Apr/17 $$\boldsymbol{\mathrm{y}}=−\frac{\boldsymbol{\mathrm{x}}^{\mathrm{3}} }{\mathrm{3}}+\mathrm{2}\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{3}\boldsymbol{\mathrm{x}} \\ $$$$\boldsymbol{\mathrm{maximum}}−\boldsymbol{\mathrm{minimum}}=? \\ $$ Commented by sandy_suhendra last updated on 25/Apr/17 $$\mathrm{do}\:\mathrm{you}\:\mathrm{mean}\:''\mathrm{max}\:\mathrm{stationary}''\:\mathrm{and}\:''\mathrm{min}\:\mathrm{stationary}''\:? \\…
Question Number 12558 by @ANTARES_VY last updated on 25/Apr/17 $$\boldsymbol{\mathrm{This}}\:\: \\ $$$$\boldsymbol{\mathrm{y}}=−\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{6}\boldsymbol{\mathrm{x}}−\mathrm{12}\:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{values}} \\ $$$$\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}}\:\boldsymbol{\mathrm{area}}. \\ $$ Answered by ajfour last updated on 25/Apr/17 $${y}=−\mathrm{12}−\left[\left({x}−\mathrm{3}\right)^{\mathrm{2}}…
Question Number 12551 by @ANTARES_VY last updated on 25/Apr/17 $$\boldsymbol{\mathrm{This}}\:\:\boldsymbol{\mathrm{y}}=\frac{\mathrm{2}\boldsymbol{\mathrm{cos}}^{\mathrm{2}} \boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{sin}}\mathrm{2}\boldsymbol{\mathrm{x}}}{\mathrm{2}\boldsymbol{\mathrm{sin}}^{\mathrm{2}} \boldsymbol{\mathrm{x}}}\:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{smallest}}\:\:\boldsymbol{\mathrm{value}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}}. \\ $$ Answered by mrW1 last updated on 25/Apr/17 $$\boldsymbol{\mathrm{y}}=\frac{\mathrm{2}\boldsymbol{\mathrm{cos}}^{\mathrm{2}} \boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{sin}}\mathrm{2}\boldsymbol{\mathrm{x}}}{\mathrm{2}\boldsymbol{\mathrm{sin}}^{\mathrm{2}}…
Question Number 12552 by @ANTARES_VY last updated on 25/Apr/17 $$\boldsymbol{\mathrm{Find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{expression}}. \\ $$$$\frac{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{2}\boldsymbol{\mathrm{x}}+\mathrm{8}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{2}\boldsymbol{\mathrm{x}}+\mathrm{3}.} \\ $$ Answered by ajfour last updated on 25/Apr/17 $${if}\:{you}\:{mean}\:{the}\:{range}\:{then} \\…