Question Number 114152 by mohammad17 last updated on 17/Sep/20 $${if}\:{f}\left({x}\right)=\mathrm{3}{x}−\mathrm{2}\:\:{find}\:{f}^{−\mathrm{1}} \left({x}\right)\:? \\ $$$$ \\ $$$$\left(\mathrm{2}\right){if}\:{f}\left({x}\right)=\mathrm{3}{x}^{\mathrm{2}} −{x}+\mathrm{10}\:,{g}\left({x}\right)=\mathrm{1}−\mathrm{20}{x}\:{find}\: \\ $$$$\left({fog}\right)\left(\mathrm{5}\right) \\ $$ Answered by bemath last updated…
Question Number 114145 by ZiYangLee last updated on 17/Sep/20 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{moves}\:\mathrm{along}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{line}\: \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{its}\:\mathrm{velocity},\:{v}\:\mathrm{m}\:\mathrm{s}^{−\mathrm{1}} ,\:\mathrm{is}\:\mathrm{given} \\ $$$$\mathrm{by}\:{v}={t}^{\mathrm{3}} −\mathrm{4}{t}^{\mathrm{2}} +\mathrm{3}{t},\:\mathrm{where}\:{t}\:\mathrm{is}\:\mathrm{time},\:\mathrm{in}\: \\ $$$$\mathrm{seconds},\:\mathrm{after}\:\mathrm{passing}\:\mathrm{through}\:\mathrm{fixed} \\ $$$$\mathrm{point}\:\mathrm{O}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{total}\:\mathrm{distance},\:\mathrm{in}\:\mathrm{m},\:\mathrm{travelled} \\ $$$$\mathrm{by}\:\mathrm{the}\:\mathrm{particle}\:\mathrm{until}\:\mathrm{the}\:\mathrm{particle}\:\mathrm{returned}…
Question Number 179665 by 123564 last updated on 31/Oct/22 $${Q}\mathrm{179420} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 179654 by yaslm last updated on 31/Oct/22 Commented by CElcedricjunior last updated on 05/Nov/22 $$\mathrm{2}^{\mathrm{2}^{\mathrm{2}^{\mathrm{2}} } } =\mathrm{4}^{\boldsymbol{{x}}} =\mathrm{2}^{\mathrm{2}\boldsymbol{{x}}} \\ $$$$=>\mathrm{2}^{\mathrm{2}^{\mathrm{4}} } =\mathrm{2}^{\mathrm{2}\boldsymbol{{x}}}…
Question Number 114107 by mathdave last updated on 17/Sep/20 $${prove}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \left[\frac{\mathrm{ln}\left(\frac{\mathrm{1}−\mathrm{sin}{x}}{\mathrm{1}+\mathrm{sin}{x}}\right)\sqrt{\mathrm{cos}{x}}}{\left(\mathrm{1}+\mathrm{sin}{x}\right)\sqrt{\mathrm{1}−\mathrm{sin}{x}}}\right]{dx}=−\mathrm{8} \\ $$ Commented by mathdave last updated on 17/Sep/20 Commented by…
Question Number 114101 by naka3546 last updated on 17/Sep/20 $${Let}\:\:{x}\:\:{are}\:\:{positive}\:\:{even}\:\:{numbers}\:\:{more}\:\:{than}\:\:\mathrm{8}\:. \\ $$$${What}\:\:{is}\:\:{the}\:\:{remainder}\:\:{of}\:\:\:{divisibility}\:\:: \\ $$$$\left({x}\:+\:\mathrm{1}\right)^{{x}} \:−\:{x}^{{x}} \:\:{by}\:\:\left({x}\:+\:\mathrm{2}\right)^{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 179629 by 123564 last updated on 31/Oct/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 179631 by daus last updated on 31/Oct/22 Commented by daus last updated on 31/Oct/22 $${solve}\:{for}\:{x} \\ $$ Answered by Rasheed.Sindhi last updated on…
Question Number 48541 by behi83417@gmail.com last updated on 25/Nov/18 Commented by math1967 last updated on 25/Nov/18 $${Is}\:{it}\:\left({x}−{y}\right)\left({y}−{z}\right)\left({z}−{x}\right)\left\{\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} \right)\left({x}+{y}+{z}\right)+{xyz}\right\} \\ $$ Commented by math1967…
Question Number 48540 by behi83417@gmail.com last updated on 25/Nov/18 Answered by ajfour last updated on 25/Nov/18 $$\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} \:+\mathrm{2}\left({xy}+{yz}+{zx}\right)=\mathrm{0} \\ $$$$\Rightarrow\:{xy}+{yz}+{zx}\:=\:−\frac{{ab}}{\mathrm{2}} \\ $$$$\left({x}+{y}+{z}\right)^{\mathrm{3}} \:=\:{x}^{\mathrm{3}}…