Question Number 77033 by necxxx last updated on 02/Jan/20 $${Suppose}\:{the}\:{population}\:{models}\:{of}\:{London} \\ $$$${and}\:{Hongkong}\:{in}\:{tens}\:{of}\:{thousands}\:{are} \\ $$$${p}\left({t}\right)=\frac{\mathrm{20}{t}}{{t}+\mathrm{1}}\:{and}\:{q}\left({t}\right)=\frac{\mathrm{240}{t}}{{t}+\mathrm{8}}\:{respectively}\:{for} \\ $$$${t}\:{years}\:{after}\:\mathrm{2015},\:{Determine}\:{the}\:{time}\:{period} \\ $$$${in}\:{years}\:{when}\:{the}\:{population}\:{of}\:{London} \\ $$$${exceeds}\:{that}\:{of}\:{HongKong}. \\ $$ Commented by MJS…
Question Number 77028 by TawaTawa last updated on 02/Jan/20 Answered by mind is power last updated on 02/Jan/20 $$\mathrm{39} \\ $$$$\mathrm{x}−\mathrm{y}\:−\mathrm{z}\left(\mathrm{x}−\mathrm{y}\right)=\mathrm{0} \\ $$$$\mathrm{y}−\mathrm{z}−\mathrm{x}\left(\mathrm{y}−\mathrm{z}\right)=\mathrm{0} \\ $$$$\mathrm{x}^{\mathrm{2}}…
Question Number 77026 by TawaTawa last updated on 02/Jan/20 Commented by $@ty@m123 last updated on 03/Jan/20 $${Which}\:{one}? \\ $$$$\mathrm{20}\:{or}\:\mathrm{21} \\ $$ Commented by TawaTawa last…
Question Number 142560 by ajfour last updated on 02/Jun/21 Answered by 1549442205PVT last updated on 02/Jun/21 $$\mathrm{put}\:\mathrm{AC}=\mathrm{x},\mathrm{CP}=\mathrm{y}\Rightarrow\mathrm{AO}.\mathrm{OB}=\mathrm{OP}^{\mathrm{2}} \\ $$$$\Leftrightarrow\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{c}^{\mathrm{2}} }\left(\mathrm{1}−\sqrt{\mathrm{c}^{\mathrm{2}} +\mathrm{x}^{\mathrm{2}} }\right)=\mathrm{c}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \left(\mathrm{1}\right)…
Question Number 77027 by mathocean1 last updated on 02/Jan/20 $$\mathrm{Please}\:\mathrm{help}\:\mathrm{me}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{it}\:\mathrm{in}\:\left[−\pi;\mathrm{0}\right] \\ $$$$\mathrm{cos2}{x}+\mathrm{cos}{x}+\mathrm{1}=\mathrm{sin3}{x}+\mathrm{sin2}{x}+\mathrm{sin}{x} \\ $$$${E}\mathrm{xplain}\:\mathrm{details}\:\mathrm{if}\:\mathrm{possible}. \\ $$$$ \\ $$ Answered by mr W last updated on…
Question Number 77024 by Sathvik last updated on 02/Jan/20 $$\mathrm{The}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\:\mathrm{p}\:\mathrm{for}\:\mathrm{which}\: \\ $$$$\mathrm{graph}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{2p}^{\mathrm{2}} − \\ $$$$\mathrm{3ptan}\:\mathrm{x}+\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}+\mathrm{1}\:\mathrm{does}\:\mathrm{not}\:\mathrm{lie}\:\mathrm{below}\: \\ $$$$\mathrm{x}-\mathrm{axis}\:\mathrm{for}\:\mathrm{all}\:\mathrm{x}\in\left(\frac{−\Pi}{\mathrm{2}},\frac{\Pi}{\mathrm{2}}\right)\:\mathrm{is} \\ $$$$\left(\mathrm{a}\right)\mathrm{0}\:\:\:\:\:\:\left(\mathrm{b}\right)\mathrm{4}\:\:\:\:\:\:\:\:\left(\mathrm{c}\right)\mathrm{3}\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\mathrm{8} \\ $$ Answered by MJS…
Question Number 142556 by iloveisrael last updated on 02/Jun/21 $$\begin{cases}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{2}{yz}+\mathrm{2}−{z}^{\mathrm{2}} }\\{{z}=\mathrm{4022}−{x}−{y}}\end{cases} \\ $$$$\:{x},{y},{z}\in\mathbb{Z}^{+} \:.\:{then}\:{z}= \\ $$ Answered by iloveisrael last updated on 02/Jun/21…
Question Number 142558 by SOMEDAVONG last updated on 02/Jun/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{x}^{\mathrm{2}} =\mathrm{5}^{\mathrm{log}_{\mathrm{2}} \mathrm{x}} −\mathrm{3}^{\mathrm{log}_{\mathrm{2}} \mathrm{x}} \:\mathrm{on}\:\mathbb{R}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 142553 by 777316 last updated on 02/Jun/21 $$ \\ $$$$\:\:\:\:{Evaluate}\::\: \\ $$$$\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{log}\left({x}\right){log}\left(\frac{{x}}{\mathrm{1}−{x}}\right)}{\:\sqrt{\frac{{x}}{\mathrm{1}−{x}}}}\:{dx} \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 77014 by aliesam last updated on 02/Jan/20 Commented by mr W last updated on 02/Jan/20 $${look}\:{and}\:{think}: \\ $$$${x}={y}=\pm\mathrm{1} \\ $$ Commented by mr…