Question Number 195602 by mokys last updated on 05/Aug/23 $${solve}\:\int\:\frac{{dx}}{{sin}^{\mathrm{10}} \left({x}\right)+{cos}^{\mathrm{10}} \left({x}\right)} \\ $$ Answered by Frix last updated on 06/Aug/23 $$\int\frac{{dx}}{\mathrm{sin}^{\mathrm{10}} \:{x}\:+\mathrm{cos}^{\mathrm{10}} \:{x}}= \\…
Question Number 195570 by York12 last updated on 05/Aug/23 $$\mathrm{Given}\:\mathrm{three}\:\mathrm{Real}\:\mathrm{numbers}\:\left({x},{y},{z}\right),{such}\:{that} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\mathrm{1} \\ $$$${maximize} \\ $$$${x}^{\mathrm{4}} +{y}^{\mathrm{4}} −\mathrm{2}{z}^{\mathrm{4}} −\mathrm{3}\sqrt{\mathrm{2}}{xyz} \\ $$ Commented…
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Question Number 195592 by mathlove last updated on 06/Aug/23 $${f}\left({x}\right)=\frac{\mathrm{1376}}{\left({x}−\mathrm{1}\right)^{{ln}\left(\frac{\mathrm{2}}{\mathrm{4689}}\right)} } \\ $$$${dom}\:{f}\left({x}\right)=? \\ $$$${answer}\:{this} \\ $$ Commented by bbbbbbbb last updated on 06/Aug/23 $$\boldsymbol{\mathrm{D}}\mathrm{omainf}\left(\mathrm{x}\right)=\mathrm{R}\backslash\left\{\mathrm{1}\right\}…
Question Number 195560 by York12 last updated on 05/Aug/23 $$ \\ $$ Commented by mr W last updated on 05/Aug/23 $${why}\:{did}\:{you}\:{delete}\:{the}\:{question}\:{sir}? \\ $$ Answered by…
Question Number 195590 by Mingma last updated on 05/Aug/23 Answered by mr W last updated on 05/Aug/23 Commented by mr W last updated on 05/Aug/23…
Question Number 195517 by cortano12 last updated on 04/Aug/23 $$\:\:\:\mathrm{Given}\:\Delta\mathrm{ABC}\:\mathrm{where}\:\mathrm{BC}=\:\mathrm{a},\: \\ $$$$\:\:\:\mathrm{AC}\:=\:\mathrm{b}\:\mathrm{and}\:\mathrm{AB}\:=\:\mathrm{c}\:.\:\mathrm{If}\:\angle\:\mathrm{A}=\:\mathrm{60}° \\ $$$$\:\:\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\:\:\left(\mathrm{1}+\frac{\mathrm{b}}{\mathrm{c}}+\frac{\mathrm{a}}{\mathrm{c}}\right)\left(\mathrm{1}+\frac{\mathrm{c}}{\mathrm{b}}+\frac{\mathrm{a}}{\mathrm{b}}\right). \\ $$$$ \\ $$ Answered by horsebrand11 last updated…
Question Number 195518 by jubair56 last updated on 04/Aug/23 $${y}=\frac{{x}^{\mathrm{3}} −\mathrm{27}}{{x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{9}} \\ $$$${y}=\frac{{sin}^{\mathrm{2}} {x}}{\mathrm{1}+{cosx}} \\ $$$${y}=\frac{{sinx}+{cosx}}{\:\sqrt{\mathrm{1}+{cos}\mathrm{2}{x}}} \\ $$ Answered by Calculusboy last updated on…
Question Number 195515 by sulaymonnorboyev140 last updated on 04/Aug/23 $$\underset{\mathrm{1}} {\overset{\mathrm{5}} {\int}}{x}^{\mathrm{2}} \sqrt{{x}−\mathrm{1}}{dx}=? \\ $$ Answered by tri26112004 last updated on 04/Aug/23 $${Say}\:{t}=\sqrt{{x}−\mathrm{1}}\Rightarrow{t}^{\mathrm{2}} ={x}−\mathrm{1}\Leftrightarrow{x}^{\mathrm{2}} =\left({t}^{\mathrm{2}}…