Question Number 69502 by 20190927 last updated on 24/Sep/19 $$\int\frac{\mathrm{3sinx}+\mathrm{4cosx}}{\mathrm{4sinx}+\mathrm{3cosx}}\mathrm{dx} \\ $$ Commented by mathmax by abdo last updated on 24/Sep/19 $${let}\:{I}\:=\int\:\:\frac{\mathrm{3}{sinx}\:+\mathrm{4}{cosx}}{\mathrm{4}{sinx}\:+\mathrm{3}{cosx}}{dx}\:\:{changement}\:{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}\:{give} \\ $$$${I}\:=\int\frac{\mathrm{3}\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{2}} }+\mathrm{4}\frac{\mathrm{1}−{t}^{\mathrm{2}}…
Question Number 69500 by TawaTawa last updated on 24/Sep/19 Answered by MJS last updated on 24/Sep/19 $$\mathrm{the}\:\mathrm{shape}\:\mathrm{of}\:\mathrm{the}\:\mathrm{graph}\:\mathrm{looks}\:\mathrm{like}\:\mathrm{a}\:\mathrm{modified} \\ $$$${f}\left({x}\right)={x}^{\mathrm{4}} −{x}^{\mathrm{2}} \\ $$$${f}\left(\mathrm{0}\right)\approx−\mathrm{7}\:\Rightarrow\:{f}\left({x}\right)\approx{x}^{\mathrm{4}} −{x}^{\mathrm{2}} −\mathrm{7} \\…
Question Number 3965 by Yozzii last updated on 25/Dec/15 $${Find}\:{det}\left({A}\right)\:{where}\:{A}\:{is}\:{an}\:{n}×{n}\:{matrix} \\ $$$${of}\:{the}\:{form}\: \\ $$$${A}=\begin{pmatrix}{\lambda}&{\mathrm{1}}&{\mathrm{1}}&{\ldots}&{\ldots}&{\ldots}&{\ldots}&{\mathrm{1}}\\{\mathrm{1}}&{\lambda}&{\mathrm{1}}&{\ldots}&{\ldots}&{\ldots}&{\ldots}&{\mathrm{1}}\\{\mathrm{1}}&{\mathrm{1}}&{\lambda}&{\ldots}&{\ldots}&{\ldots}&{\ldots}&{\mathrm{1}}\\{\vdots}&{\vdots}&{\vdots}&{\ddots}&{\ldots}&{\ldots}&{\ldots}&{\mathrm{1}}\\{\vdots}&{\vdots}&{\vdots}&{\vdots}&{\ddots}&{\ldots}&{\ldots}&{\mathrm{1}}\\{\vdots}&{\vdots}&{\vdots}&{\vdots}&{\vdots}&{\ddots}&{\ldots}&{\mathrm{1}}\\{\vdots}&{\vdots}&{\vdots}&{\vdots}&{\vdots}&{\vdots}&{\ddots}&{\mathrm{1}}\\{\mathrm{1}}&{\mathrm{1}}&{\mathrm{1}}&{\mathrm{1}}&{\mathrm{1}}&{\mathrm{1}}&{\mathrm{1}}&{\lambda}\end{pmatrix} \\ $$$$\lambda={constant}\:{for}\:{leading}\:{diagonal}\:{elements} \\ $$$$\mathrm{1}{s}\:{for}\:{all}\:{other}\:{elements}. \\ $$$$ \\ $$ Commented by 123456…
Question Number 135033 by mnjuly1970 last updated on 09/Mar/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 3963 by 123456 last updated on 25/Dec/15 $${f}:\left[\mathrm{0},+\infty\right) \\ $$$${f}\left(\alpha{x}+\beta\right)=\alpha{f}\left({x}\right)+\beta \\ $$$${f}\left({x}\right)=? \\ $$ Answered by prakash jain last updated on 25/Dec/15 $${f}\left({x}\right)={x}…
Question Number 69496 by ajfour last updated on 24/Sep/19 Commented by ajfour last updated on 24/Sep/19 $${Find}\:{radius},\:{is}\:{it}\:{real}? \\ $$ Commented by mr W last updated…
Question Number 135034 by mnjuly1970 last updated on 09/Mar/21 $$\:\:\:\:\:\:\:\:\:…{nice}\:\:\:{calculus}\:\: \\ $$$$\:\:\:\:{if}\:\:{n}\geqslant\mathrm{2}\:\:\:{and}\:\:\:{P}_{{n}} =\underset{{n}=\mathrm{1}} {\overset{{n}−\mathrm{1}} {\prod}}{sin}\left(\frac{{k}\pi}{{n}}\right) \\ $$$$\:\:\:\:\:{find}\:::\:{lim}_{{n}\rightarrow\infty} \frac{{nP}_{{n}} }{\mathrm{2}}\:\int_{\frac{\pi}{\mathrm{6}}} ^{\:\frac{\pi}{\mathrm{3}}} \frac{{cos}\left(\mathrm{3}{x}\right)}{{sin}^{{n}} \left({x}\right)}{dx} \\ $$ Terms…
Question Number 69494 by TawaTawa last updated on 24/Sep/19 Commented by TawaTawa last updated on 24/Sep/19 $$\mathrm{Please}\:\mathrm{help}\:\mathrm{me}\:\mathrm{find}\:\mathrm{the}\:\mathrm{Area}\:\mathrm{and}\:\mathrm{Perimeter}\:\mathrm{of}\:\mathrm{the}\:\mathrm{shaded}\:\mathrm{part}. \\ $$ Commented by mind is power last…
Question Number 69493 by TawaTawa last updated on 24/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 135024 by mr W last updated on 09/Mar/21 Commented by mr W last updated on 09/Mar/21 $${an}\:{unsolved}\:{old}\:{question} \\ $$ Commented by mr W…