Question Number 63956 by meme last updated on 11/Jul/19 $${x}^{\mathrm{2}} −{y}^{\mathrm{2}} =\mathrm{24} \\ $$ Answered by meme last updated on 12/Jul/19 $${solve}\:{at}\:{z}^{\mathrm{2}} \\ $$ Terms…
Question Number 129490 by 676597498 last updated on 16/Jan/21 $$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \mathrm{x}\sqrt{\mathrm{tanx}}\mathrm{dx} \\ $$ Answered by mnjuly1970 last updated on 16/Jan/21 $$\:\Omega=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {x}.{sin}^{\frac{\mathrm{1}}{\mathrm{2}}} \left({x}\right).{cos}^{\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 129489 by mr W last updated on 16/Jan/21 $${if}\:{p}\left({x}+\mathrm{2}\right)−\mathrm{2}{p}\left({x}\right)={x}^{\mathrm{2}} −\mathrm{5}{x}−\mathrm{3} \\ $$$${find}\:{p}\left({x}\right) \\ $$ Answered by bramlexs22 last updated on 16/Jan/21 $$\mathrm{let}\:{p}\left({x}\right)={ax}^{\mathrm{2}} +{bx}+{c}…
Question Number 63945 by mathmax by abdo last updated on 11/Jul/19 $${solve}\:{at}\:{Z}^{\mathrm{2}} \:\:{x}^{\mathrm{2}} −\mathrm{2}{y}^{\mathrm{2}} \:+{xy}\:+\mathrm{2}\:=\mathrm{0} \\ $$ Commented by hknkrc46 last updated on 11/Jul/19 $${x}^{\mathrm{2}}…
Question Number 129481 by talminator2856791 last updated on 16/Jan/21 $$\:\mathrm{what}\:\mathrm{does}\:\mathrm{premium}\:\mathrm{unlock}? \\ $$ Commented by Tinku Tara last updated on 16/Jan/21 $$\mathrm{Without}\:\mathrm{premium}\:\mathrm{app}\:\mathrm{name}\:\mathrm{watermark} \\ $$$$\mathrm{is}\:\mathrm{printed}\:\mathrm{on}\:\mathrm{generated}\:\mathrm{images}.\: \\ $$$$\mathrm{That}\:\mathrm{is}\:\mathrm{all}.…
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Question Number 129462 by bemath last updated on 16/Jan/21 $$\mathrm{If}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{satisfy}\:\mathrm{of}\:\mathrm{equation}\: \\ $$$$\:\left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{2}} +\left(\mathrm{y}+\mathrm{1}\right)^{\mathrm{2}} =\mathrm{5}\:\mathrm{then}\:\mathrm{maximum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{x}}{\mathrm{y}+\mathrm{1}}\:\mathrm{equal}\:\mathrm{to}\:?\: \\ $$ Commented by bramlexs22 last updated on 16/Jan/21…
Question Number 63927 by aliesam last updated on 11/Jul/19 $$\int_{\mathrm{0}} ^{\pi} \frac{{dx}}{\left(\mathrm{3}+\mathrm{2}{cos}\:{x}\right)^{\mathrm{2}} } \\ $$ Commented by aliesam last updated on 12/Jul/19 $${god}\:{bless}\:{you}\:{sir}\:..{well}\:{done}.. \\ $$…
Question Number 63922 by raj last updated on 11/Jul/19 $$\mathrm{if}\:{f}\left({x}\right)=\begin{cases}{\frac{\mathrm{log}\:\left(\mathrm{1}+\mathrm{2}{ax}\right)−\mathrm{log}\:\left(\mathrm{1}−{bx}\right)}{{x}}}&{{x}\neq\mathrm{0}}\\{{k}}&{{x}=\mathrm{0}}\end{cases} \\ $$$$\mathrm{is}\:\mathrm{continuous}\:\mathrm{at}\:{x}=\mathrm{0}\:\mathrm{then}\:{k}=? \\ $$ Commented by kaivan.ahmadi last updated on 11/Jul/19 $${lim}_{{x}\rightarrow\mathrm{0}} {f}\left({x}\right)\overset{{hop}} {=}{lim}_{{x}\rightarrow\mathrm{0}\:\:} \frac{\mathrm{2}{a}}{{ln}\mathrm{10}×\left(\mathrm{1}+\mathrm{2}{ax}\right)}−\frac{−{b}}{{ln}\mathrm{10}×\left(\mathrm{1}−{bx}\right)}=…
Question Number 63921 by raj last updated on 11/Jul/19 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\left(\frac{{n}}{{n}+\mathrm{1}}\right)^{\alpha} +\mathrm{sin}\:\frac{\mathrm{1}}{{n}}\right)^{{n}} \mathrm{where}\:\alpha\in\mathbb{Q} \\ $$$$\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Commented by kaivan.ahmadi last updated on 11/Jul/19 $$\sim{lim}_{{n}\rightarrow\infty}…