Question Number 5825 by Rasheed Soomro last updated on 30/May/16 Commented by Rasheed Soomro last updated on 30/May/16 $$\mathrm{A}\:\mathrm{is}\:\mathrm{the}\:\mathrm{center}\:\mathrm{of}\:\mathrm{arc}\:\mathrm{BC}. \\ $$$$\mathrm{AB}=\mathrm{AE}=\mathrm{AG}=\mathrm{AC} \\ $$$$\mathrm{AB}\:{m}\mathrm{eans}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B} \\ $$$$\mathrm{Similarly}\:\mathrm{AE},\mathrm{AG},\mathrm{AC}\:\mathrm{are}\:\mathrm{also}\:\mathrm{distances}.…
Question Number 136892 by Rayan1997 last updated on 27/Mar/21 $$\int\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }{dy} \\ $$$$ \\ $$ Answered by Olaf last updated on 27/Mar/21 $$\mathrm{F}\left({x}\right)\:=\:\int\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}}…
Question Number 5822 by Rasheed Soomro last updated on 30/May/16 $$\mathcal{P}{rove}\:{that}\:{among}\:{all}\:\boldsymbol{{triangles}}, \\ $$$${which}\:{have}\:{same}\:\boldsymbol{{circum}}-\boldsymbol{{radius}}, \\ $$$${the}\:\boldsymbol{{equilateral}}\:\boldsymbol{{triangle}}\:{has} \\ $$$$\boldsymbol{{maximum}}\:\boldsymbol{{area}}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 5821 by FilupSmith last updated on 30/May/16 $${L}=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}^{{x}} \\ $$ Answered by bahmanfeshki last updated on 27/Feb/17 $$\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:{e}^{{x}\mathrm{ln}\:{x}} =\underset{{x}\rightarrow\mathrm{0}^{+} }…
Question Number 5816 by Rasheed Soomro last updated on 29/May/16 $$\mathcal{P}{rove}\:{that}\:{among}\:{all}\:{cyclic}\:\:{n}-{gons},\: \\ $$$${which}\:{have}\:{same}\:{radius},\:{regular}\:{n}-{gon} \\ $$$${has}\:{maximum}\:{area}. \\ $$ Commented by Yozzii last updated on 29/May/16 $${Is}\:{induction}\:{possible}\:{for}\:{n}\geqslant\mathrm{3}?…
Question Number 136885 by BHOOPENDRA last updated on 27/Mar/21 Answered by bramlexs22 last updated on 27/Mar/21 $$\lambda^{\mathrm{3}} −\left(\mathrm{trace}\:\mathrm{A}\right)\lambda^{\mathrm{2}} +\:\begin{pmatrix}{\mathrm{minor}\:\mathrm{of}\:\mathrm{the}\:\mathrm{terms}}\\{\mathrm{on}\:\mathrm{the}\:\mathrm{leading}\:\mathrm{diag}\:\mathrm{A}\:}\end{pmatrix}\lambda−\mathrm{det}\left(\mathrm{A}\right)=\mathrm{0} \\ $$$$\lambda^{\mathrm{3}} −\mathrm{3}\lambda^{\mathrm{2}} +\left(\begin{vmatrix}{\mathrm{1}\:\:\mathrm{2}}\\{\mathrm{2}\:\:\mathrm{1}}\end{vmatrix}+\begin{vmatrix}{\mathrm{1}\:\:\:\mathrm{0}}\\{\mathrm{1}\:\:\:\mathrm{1}}\end{vmatrix}+\begin{vmatrix}{\:\:\mathrm{1}\:\:\:\:\:\mathrm{2}}\\{−\mathrm{1}\:\:\:\mathrm{1}}\end{vmatrix}\right)\lambda−\mathrm{3}\:=\mathrm{0} \\ $$$$\lambda^{\mathrm{3}}…
Question Number 136884 by nadovic last updated on 27/Mar/21 $${Hello}, \\ $$$$\mathrm{please}\:\mathrm{how}\:\mathrm{do}\:\mathrm{you}\:\mathrm{increase}\:\mathrm{the}\:\mathrm{height}\: \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{row}\:\mathrm{in}\:\mathrm{a}\:\mathrm{table}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5814 by sanusihammed last updated on 28/May/16 $${Please}\:{help}\:{me}\:{with}\:{that}\:{simultaneous}\:{equation}\: \\ $$ Commented by FilupSmith last updated on 29/May/16 $$\mathrm{i}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}\:\mathrm{if}\:\mathrm{anyone}\:\mathrm{can}\:\mathrm{figure}\:\mathrm{out} \\ $$$$\mathrm{how}\:\mathrm{to}. \\ $$ Terms…
Question Number 71348 by ajfour last updated on 13/Oct/19 Commented by ajfour last updated on 13/Oct/19 $${If}\:{the}\:{circle}\:{has}\:{unit}\:{radius}\:{and} \\ $$$${each}\:{part}\:{have}\:{same}\:{area},\:{find} \\ $$$${radius}\:{of}\:{circular}\:{arc}. \\ $$ Commented by…
Question Number 136883 by bramlexs22 last updated on 27/Mar/21 $$\mathrm{Given}\:\mathrm{log}\:_{\mathrm{5}} \left(\mathrm{7}^{{a}} −\mathrm{2}\right)=\:\mathrm{log}\:_{\mathrm{7}} \left(\mathrm{5}^{{a}} +\mathrm{2}\right) \\ $$$$.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\int_{{a}} ^{\mathrm{e}} \:\frac{\mathrm{1}+\mathrm{ln}\:\left(\mathrm{x}\right)}{\mathrm{x}^{\mathrm{x}} +\mathrm{x}^{−\mathrm{x}} }\:\mathrm{dx}\:. \\ $$ Answered by Olaf…