Question Number 130103 by mohammad17 last updated on 22/Jan/21 $${by}\:{using}\:{demover}\:{theorem}\:{prove}\:{that} \\ $$$$ \\ $$$${sin}\mathrm{2}\theta=\mathrm{2}{sin}\theta{cos}\theta \\ $$ Answered by Olaf last updated on 22/Jan/21 $$\left(\mathrm{cos}\theta+{i}\mathrm{sin}\theta\right)^{{n}} \:=\:\mathrm{cos}\left({n}\theta\right)+{i}\mathrm{sin}\left({n}\theta\right)…
Question Number 130088 by stelor last updated on 22/Jan/21 $$\mathrm{hello}\:\mathrm{please}. \\ $$$$\:\:\int\frac{{dx}}{{a}^{\mathrm{2}} {cos}^{\mathrm{2}} {x}\:+\:{b}^{\mathrm{2}} {sin}^{\mathrm{2}} {x}} \\ $$ Answered by bobhans last updated on 22/Jan/21…
Question Number 130084 by mohammad17 last updated on 22/Jan/21 Commented by bobhans last updated on 22/Jan/21 $$??? \\ $$ Commented by MJS_new last updated on…
Question Number 64533 by naka3546 last updated on 19/Jul/19 $${Find}\:\:{all}\:\:{solutions}\:\:{of}\:\:{x}\:\:{real}\:\:{numbers}\:\:{such}\:\:{that} \\ $$$$\mathrm{2}{x}^{\mathrm{2}} \:−\:\mathrm{7}{x}\:+\:\mathrm{6}\:\:=\:\:\mathrm{15}\:\lfloor\frac{\mathrm{1}}{{x}}\rfloor\lfloor{x}\rfloor \\ $$ Answered by MJS last updated on 19/Jul/19 $${x}=\mathrm{0}\:\Rightarrow\:\lfloor\frac{\mathrm{1}}{{x}}\rfloor\:\mathrm{not}\:\mathrm{defined} \\ $$$$…
Question Number 129998 by Eric002 last updated on 21/Jan/21 $${what}\:{is}\:{fractional}\:{derivative}? \\ $$ Answered by Olaf last updated on 21/Jan/21 $$\mathrm{Generalization}\:\mathrm{of}\:\mathrm{the}\:\mathrm{derivative} \\ $$$$\mathrm{for}\:\alpha\:\in\mathbb{R}\::\:{D}^{\alpha} {f}\:=\:{f}^{\left(\alpha\right)} \left({x}\right) \\…
Question Number 129997 by mohammad17 last updated on 21/Jan/21 $${prove}\:{that}\:\left[\left({cos}\left({n}\right)+{sin}\left({n}\right)\right)/{n}\right]\:{converge}\:{sequence} \\ $$ Answered by Dwaipayan Shikari last updated on 21/Jan/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{cosn}+{sinn}}{{n}}=\frac{\mathrm{1}}{\mathrm{2}}\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{e}^{{in}}…
Question Number 129973 by mohammad17 last updated on 21/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 129955 by mohammad17 last updated on 21/Jan/21 Answered by Olaf last updated on 21/Jan/21 $$\mathrm{A}\:=\:\begin{bmatrix}{\mathrm{1}}&{\mathrm{1}}&{−\mathrm{15}}&{\mathrm{4}}\\{\mathrm{16}}&{−\mathrm{2}}&{−\mathrm{3}}&{\mathrm{1}}\\{\mathrm{1}}&{−\mathrm{1}}&{\mathrm{3}}&{\mathrm{17}}\\{\mathrm{2}}&{−\mathrm{14}}&{\mathrm{3}}&{\mathrm{2}}\end{bmatrix} \\ $$$$\mathrm{det}\left(\mathrm{A}\right)\:=\:−\mathrm{56460}\:\neq\:\mathrm{0} \\ $$$$\mathrm{A}_{\mathrm{1}} \:=\:\begin{bmatrix}{−\mathrm{2}}&{\mathrm{1}}&{−\mathrm{15}}&{\mathrm{4}}\\{\mathrm{2}}&{−\mathrm{2}}&{−\mathrm{3}}&{\mathrm{1}}\\{\mathrm{9}}&{−\mathrm{1}}&{\mathrm{3}}&{\mathrm{17}}\\{−\mathrm{8}}&{−\mathrm{14}}&{\mathrm{3}}&{\mathrm{2}}\end{bmatrix} \\ $$$$\mathrm{det}\left(\mathrm{A}_{\mathrm{1}} \right)\:=\:−\mathrm{14115}…
Question Number 129951 by Algoritm last updated on 21/Jan/21 Commented by MJS_new last updated on 21/Jan/21 $$\mathrm{2}^{{x}/\mathrm{3}} −\mathrm{2}^{{x}} =\mathrm{2} \\ $$$${t}=\mathrm{2}^{{x}/\mathrm{3}} \\ $$$${t}−{t}^{\mathrm{3}} =\mathrm{2} \\…
Question Number 129938 by stelor last updated on 21/Jan/21 $$\mathrm{please}\:\mathrm{help}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\frac{\mathrm{1}}{{x}^{\mathrm{2}} \left({x}^{\mathrm{2}} −\mathrm{2}\right)^{\mathrm{2}} }{dx}=? \\ $$$$ \\ $$$$ \\ $$ Answered by Ar Brandon last updated…