Question Number 153736 by ZiYangLee last updated on 09/Sep/21 $$\mathrm{Given}\:\mathrm{that}\:\mathrm{7}\:\mathrm{cos}\:\mathrm{2}\theta+\mathrm{24}\:\mathrm{sin}^{\mathrm{2}} \theta={R}\:\mathrm{cos}\left(\mathrm{2}\theta−\alpha\right), \\ $$$$\mathrm{where}\:{R}>\mathrm{0}\:\mathrm{and}\:\mathrm{0}<\alpha<\frac{\pi}{\mathrm{2}},\:\mathrm{find}\:\mathrm{the}\:\mathrm{maximum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{14}\:\mathrm{cos}^{\mathrm{2}} \theta+\mathrm{48}\:\mathrm{sin}\:\theta\:\mathrm{cos}\:\theta. \\ $$ Answered by mr W last updated on…
Question Number 153737 by ZiYangLee last updated on 09/Sep/21 $$\mathrm{Show}\:\mathrm{that}\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{\mathrm{1}}{\left(\mathrm{cos}\:\theta+\:\sqrt{\mathrm{3}}\:\mathrm{sin}\:\theta\right)^{\mathrm{2}} }\:{d}\theta=\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}\:} \\ $$ Answered by puissant last updated on 09/Sep/21 $$=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{1}}{\left[\mathrm{2}\left(\frac{\mathrm{1}}{\mathrm{2}}{cos}\theta+\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}{sin}\theta\right)\right]^{\mathrm{2}}…
Question Number 88180 by ubaydulla last updated on 08/Apr/20 $$\left(\mathrm{5}+\mathrm{4}{y}\right)×{dy}={y}^{\mathrm{3}} {x}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 153716 by Rankut last updated on 09/Sep/21 Commented by Rankut last updated on 09/Sep/21 $${help}\:\:{please} \\ $$ Answered by mr W last updated…
Question Number 153696 by SANOGO last updated on 09/Sep/21 Answered by puissant last updated on 09/Sep/21 $${x}_{{n}} =\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{n}^{\mathrm{2}} +{k}} \\ $$$${Calcul}\:{des}\:\mathrm{5}\:{premiers}\:{termes}.. \\ $$$$\rightarrow\:{x}_{\mathrm{1}}…
Question Number 153698 by mathocean1 last updated on 09/Sep/21 $${solve}\:{in}\:\mathbb{R} \\ $$$$\begin{cases}{{x}^{\mathrm{3}} −{y}^{\mathrm{3}} =\mathrm{19}}\\{{xy}=\mathrm{6}}\end{cases} \\ $$ Answered by amin96 last updated on 09/Sep/21 $$\left({x}−{y}\right)\left({x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}}…
Question Number 153676 by SANOGO last updated on 09/Sep/21 Answered by som(math1967) last updated on 09/Sep/21 $$\mathrm{1}.\:\boldsymbol{{a}}>\mathrm{0},\boldsymbol{{b}}>\mathrm{0} \\ $$$$\:\left(\boldsymbol{{a}}−\boldsymbol{{b}}\right)^{\mathrm{2}} \geqslant\mathrm{0}\:\:\:\left[\boldsymbol{{if}}\:\boldsymbol{{a}}=\boldsymbol{{b}}\:\boldsymbol{{then}}\left(\boldsymbol{{a}}−\boldsymbol{{b}}\right)=\mathrm{0}\right] \\ $$$$\Rightarrow\left(\boldsymbol{{a}}+\boldsymbol{{b}}\right)^{\mathrm{2}} −\mathrm{4}\boldsymbol{{ab}}\geqslant\mathrm{0} \\ $$$$\Rightarrow\:\left(\frac{\boldsymbol{{a}}+\boldsymbol{{b}}}{\mathrm{2}}\right)^{\mathrm{2}}…
Question Number 153671 by RB95 last updated on 09/Sep/21 Commented by RB95 last updated on 09/Sep/21 $${Salut} \\ $$$${Quelqu}'{un}\:{peut}\:{m}'{aider}\:{svp}? \\ $$ Terms of Service Privacy…
Question Number 22598 by Sahib singh last updated on 20/Oct/17 $${Wow}\:{guys}.\:{You}\:{people}\:{are} \\ $$$${amazing}.{Its}\:{my}\:{pleasure}\:{to} \\ $$$$\left.{be}\:{a}\:{part}\:{of}\:{this}\:{forum}.\:\::\right) \\ $$$$\: \\ $$ Commented by math solver last updated…
Question Number 153651 by Skabetix last updated on 08/Sep/21 Answered by Skabetix last updated on 08/Sep/21 $${bonjour}\:{trouver}\:{la}\:{valeur}\:{logique}\:{sans}\:{utiliser}\:{la}\:{table}\:{de}\:{verite} \\ $$$$ \\ $$ Answered by Jonathanwaweh last…