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4a-2-19a-5-x-2-a-2-x-a-3-0-x-1-x-2-are-roots-when-x-1-lt-0-x-2-gt-0-x-1-x-2-gt-0-interval-of-max-a-solution-

Question Number 190731 by 073 last updated on 10/Apr/23 $$\left(\mathrm{4a}^{\mathrm{2}} −\mathrm{19a}−\mathrm{5}\right)\mathrm{x}^{\mathrm{2}} +\mathrm{a}^{\mathrm{2}} \mathrm{x}+\mathrm{a}+\mathrm{3}=\mathrm{0} \\ $$$$\mathrm{x}_{\mathrm{1}} ,\mathrm{x}_{\mathrm{2}} \mathrm{are}\:\mathrm{roots} \\ $$$$\mathrm{when}\:,\:\mathrm{x}_{\mathrm{1}} <\mathrm{0}\:\:\:,\mathrm{x}_{\mathrm{2}} >\mathrm{0}\:\:,\:\mid\mathrm{x}_{\mathrm{1}} \mid−\mathrm{x}_{\mathrm{2}} >\mathrm{0} \\ $$$$\mathrm{interval}\:\mathrm{of}\:\:\:\mathrm{max}\left(\mathrm{a}\right)=?…

Find-the-real-part-of-Re-a-1-1-a-a-1-

Question Number 190719 by 07049753053 last updated on 09/Apr/23 $$\boldsymbol{\mathrm{F}{ind}}\:\boldsymbol{{the}}\:\boldsymbol{{real}}\:\boldsymbol{{part}}\:\boldsymbol{{of}} \\ $$$$\boldsymbol{\mathrm{R}{e}}\left(\frac{\boldsymbol{\Gamma}\left({a}+\mathrm{1}\right)}{\left(\mathrm{1}−{a}\right)^{{a}+\mathrm{1}} }\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

f-x-sinx-cosx-f-x-

Question Number 125165 by Mammadli last updated on 08/Dec/20 $$\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)=\boldsymbol{{sinx}}^{\boldsymbol{{cosx}}} \\ $$$$\boldsymbol{{f}}\:'\left(\boldsymbol{{x}}\right)=? \\ $$ Answered by Dwaipayan Shikari last updated on 08/Dec/20 $${f}\left({x}\right)=\left({sinx}\right)^{{cosx}} \\ $$$${log}\left({f}\left({x}\right)\right)={cosxlog}\left({sinx}\right)…

Rationalize-the-denominator-of-2-1-2-4-1-3-

Question Number 59626 by naka3546 last updated on 12/May/19 $${Rationalize}\:\:{the}\:\:{denominator}\:\:{of} \\ $$$$\:\:\:\:\:\:\:\:\frac{\mathrm{2}}{\mathrm{1}\:−\:\sqrt{\mathrm{2}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{4}}}} \\ $$ Answered by MJS last updated on 12/May/19 $$\mathrm{first}\:\mathrm{use}\:\mathrm{this}\:\mathrm{formula} \\ $$$$\frac{\mathrm{1}}{{a}−\sqrt{{b}}}=\frac{{a}+\sqrt{{b}}}{\left({a}−\sqrt{{b}}\right)\left({a}+\sqrt{{b}}\right)}=\frac{{a}+\sqrt{{b}}}{{a}^{\mathrm{2}} −{b}}…

Question-59627

Question Number 59627 by naka3546 last updated on 12/May/19 Answered by tanmay last updated on 12/May/19 $$\frac{\mathrm{3}−\mathrm{1}}{\mathrm{3}}\left[\left({a}+{b}+{c}\right)\left(\frac{\mathrm{1}}{{a}^{\mathrm{2}} }+\frac{\mathrm{1}}{{b}^{\mathrm{2}} }+\frac{\mathrm{1}}{{c}^{\mathrm{2}} }\right)\right] \\ $$$$=\left(\frac{{b}+{c}}{{a}^{\mathrm{2}} }+\frac{{c}+{a}}{{b}^{\mathrm{2}} }+\frac{{a}+{b}}{{c}^{\mathrm{2}} }+\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}\right)−\frac{\mathrm{1}}{\mathrm{3}}\left({a}+{b}+{c}\right)\left(\frac{\mathrm{1}}{{a}^{\mathrm{2}}…

Rationalize-the-denominator-of-2-x-2-x-1-x-

Question Number 59624 by naka3546 last updated on 12/May/19 $${Rationalize}\:\:\:{the}\:\:{denominator}\:\:{of} \\ $$$$\:\:\:\:\:\:\frac{\mathrm{2}}{\:\sqrt{{x}+\mathrm{2}}\:\:+\:\:\sqrt{{x}+\mathrm{1}}\:\:+\:\:\sqrt{{x}}} \\ $$ Answered by MJS last updated on 12/May/19 $$\frac{\mathrm{1}}{\:\sqrt{{a}}+\sqrt{{b}}+\sqrt{{c}}}=\frac{\sqrt{{a}}−\sqrt{{b}}−\sqrt{{c}}}{{a}−{b}−{c}−\mathrm{2}\sqrt{{bc}}}= \\ $$$$=\frac{\left(\sqrt{{a}}−\sqrt{{b}}−\sqrt{{c}}\right)\left({a}−{b}−{c}+\mathrm{2}\sqrt{{bc}}\right)}{{a}^{\mathrm{2}} +{b}^{\mathrm{2}}…