Question Number 198939 by Mingma last updated on 26/Oct/23 Answered by witcher3 last updated on 26/Oct/23 $$\varphi:\mathrm{2}\mathbb{N}\rightarrow\mathbb{Z} \\ $$$$\varphi\left(\mathrm{2n}\right)=\begin{cases}{\mathrm{k}\:\mathrm{if}\:\mathrm{n}=\mathrm{2}\left(\mathrm{2k}+\mathrm{1}\right)}\\{−\mathrm{k}\:\mathrm{if}\:\mathrm{n}=\mathrm{2}.\left(\mathrm{2k}\right)}\end{cases} \\ $$$$\varphi\left(\mathrm{m}\right)=\varphi\left(\mathrm{n}\right)\:\Leftrightarrow\mathrm{m}=\mathrm{n} \\ $$$$\varphi\:\mathrm{injective} \\ $$$$\mathrm{if}\:\:\mathrm{n}\in\mathbb{Z}\:\mathrm{if}\:\mathrm{n}\geqslant\mathrm{0}\:…
Question Number 198988 by Safojon last updated on 26/Oct/23 Answered by witcher3 last updated on 26/Oct/23 $$\mathrm{f}\left(\mathrm{x}\right)−\mathrm{g}\left(\mathrm{x}\right)=\mathrm{x}\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{1010}} {\sum}}\left(\mathrm{x}^{\mathrm{2k}} \right)>\mathrm{0} \\ $$$$\mathrm{u}_{\mathrm{n}} =\mathrm{f}^{\left(\mathrm{n}\right)} \left(\frac{\mathrm{1}}{\mathrm{2023}}\right),\mathrm{v}_{\mathrm{n}} =\mathrm{g}^{\left(\mathrm{n}\right)}…
Question Number 198989 by Rodier97 last updated on 26/Oct/23 $$ \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Calcul}\:: \\ $$$$\begin{vmatrix}{\mathrm{3}}&{\mathrm{16}}&{\mathrm{24}}&{\mathrm{33}}\\{\mathrm{1}}&{\mathrm{5}}&{\mathrm{7}}&{\mathrm{9}}\\{\mathrm{5}}&{\mathrm{27}}&{\mathrm{36}}&{\mathrm{55}}\\{\mathrm{7}}&{\mathrm{38}}&{\mathrm{51}}&{\mathrm{78}}\end{vmatrix} \\ $$$$ \\ $$$$ \\ $$$$ \\…
Question Number 198982 by sonukgindia last updated on 26/Oct/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 198845 by sonukgindia last updated on 25/Oct/23 Answered by som(math1967) last updated on 25/Oct/23 $${I}=\int_{−\mathrm{1}} ^{\mathrm{1}} \frac{\left(\mathrm{1}−\mathrm{1}−{x}\right)^{\mathrm{2}} {dx}}{\mathrm{1}+{e}^{\mathrm{1}−\mathrm{1}−{x}} } \\ $$$$=\int_{−\mathrm{1}} ^{\mathrm{1}} \frac{{x}^{\mathrm{2}}…
Question Number 198907 by a.lgnaoui last updated on 25/Oct/23 $$\mathrm{find}\:\mathrm{the}\:\mathrm{Area}\:\mathrm{betwen}\:\mathrm{Circle}\:\mathrm{1}\:\mathrm{and}\: \\ $$$$\mathrm{Circle2}. \\ $$ Commented by a.lgnaoui last updated on 25/Oct/23 Commented by Rasheed.Sindhi last…
Question Number 198900 by Safojon last updated on 25/Oct/23 $$\frac{\mathrm{2}{sin}\mathrm{2}°+\mathrm{4}{sin}\mathrm{4}°+…+\mathrm{180}{sin}\mathrm{180}°}{\mathrm{90}}=? \\ $$$${calculate}.{help}\:{me}\:{pleas}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 198901 by sonukgindia last updated on 25/Oct/23 Answered by witcher3 last updated on 25/Oct/23 $$\int\frac{\left(\mathrm{cos}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)−\mathrm{sin}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\right)^{\mathrm{2}} }{\mathrm{6sin}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\mathrm{cos}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)+\mathrm{10cos}^{\mathrm{2}} \left(\frac{\mathrm{x}}{\mathrm{2}}\right)\mathrm{e}^{\mathrm{x}} }\mathrm{dx}=\mathrm{g}\left(\mathrm{x}\right) \\ $$$$=\int\frac{\left(\mathrm{1}−\mathrm{tg}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\right)^{\mathrm{2}} }{\mathrm{6tg}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)+\mathrm{10e}^{\mathrm{x}} }\mathrm{dx} \\…
Question Number 198902 by necx122 last updated on 25/Oct/23 $${Given}\:{that}\:{k}^{\mathrm{2}} −\mathrm{3}{k}+\mathrm{5}=\mathrm{0},\:{determine} \\ $$$${the}\:{value}\:{of}\:{k}^{\mathrm{4}} −\mathrm{6}{k}^{\mathrm{3}} +\mathrm{9}{k}^{\mathrm{2}} −\mathrm{7} \\ $$ Answered by witcher3 last updated on 25/Oct/23…
Question Number 198903 by necx122 last updated on 25/Oct/23 $${Find}\:{the}\:{minimum}\:{value}\:{of}\: \\ $$$$\frac{{a}}{{b}+{c}}+\frac{{b}}{{c}+{a}}+\frac{{c}}{{a}+{b}}\:{for}\:{all}\:{positive}\:{real} \\ $$$${numbers} \\ $$ Commented by necx122 last updated on 25/Oct/23 please I need help with this Answered…