Question Number 223673 by gregori last updated on 02/Aug/25 Answered by som(math1967) last updated on 02/Aug/25 $$\:{tan}^{\mathrm{2}} {x}=\frac{\mathrm{2}}{\mathrm{3}} \\ $$$$\:\frac{{sin}^{\mathrm{8}} {x}}{\mathrm{8}}+\frac{\mathrm{cos}\:^{\mathrm{8}} {x}}{\mathrm{27}}=\frac{\mathrm{1}}{\mathrm{125}} \\ $$$$\:\frac{{sin}^{\mathrm{4}} {x}}{\mathrm{2}}\:+\frac{\left(\mathrm{1}−{sin}^{\mathrm{2}}…
Question Number 223700 by BaliramKumar last updated on 02/Aug/25 $$\:\underline{\underbrace{\:}} \\ $$ Answered by mehdee7396 last updated on 02/Aug/25 $${let}\:\:{a}=\mathrm{2}{k}+\mathrm{1}\Rightarrow{x}^{\mathrm{2}} −\mathrm{2}{kx}+\mathrm{8}{k}+\mathrm{11}=\mathrm{0} \\ $$$$\Rightarrow\Delta={k}^{\mathrm{2}} −\mathrm{8}{k}−\mathrm{11}={n}^{\mathrm{2}} \\…
Question Number 223685 by fantastic last updated on 02/Aug/25 $$\mathrm{25}^{{x}} −\mathrm{8}.\mathrm{5}^{{x}} =−\mathrm{16} \\ $$ Answered by Rasheed.Sindhi last updated on 02/Aug/25 $$\left(\mathrm{5}^{{x}} \right)^{\mathrm{2}} −\mathrm{8}\left(\mathrm{5}^{{x}} \right)=−\mathrm{16}…
Question Number 223703 by Rojarani last updated on 02/Aug/25 Answered by Rasheed.Sindhi last updated on 02/Aug/25 $$\left(\frac{{x}−\mathrm{1}}{\mathrm{3}}\right)^{\mathrm{3}} =\frac{\mathrm{4}}{\mathrm{9}}+\sqrt[{\mathrm{4}}]{\frac{\mathrm{3}}{\mathrm{27}}}\:+\sqrt[{\mathrm{3}}]{\frac{\mathrm{9}}{\mathrm{27}}}\: \\ $$$$\frac{{x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{1}}{\mathrm{27}}=\frac{\mathrm{4}}{\mathrm{9}}+\frac{\sqrt[{\mathrm{3}}]{\mathrm{3}}}{\mathrm{3}}\:+\frac{\sqrt[{\mathrm{3}}]{\mathrm{9}}}{\mathrm{3}}\: \\ $$$${x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}}…
Question Number 223712 by fantastic last updated on 02/Aug/25 Commented by fantastic last updated on 02/Aug/25 $${a}\:{bulet}\:{of}\:{mass}\:{m}\:{and}\:{velocity}\:{v} \\ $$$${hits}\:{a}\:{wooden}\:{block}\:{of}\:{mass}\:{M}\:{which}\:{is}\:{tied}\:{with}\:{a}\: \\ $$$${rope}\:{of}\:{length}\:{l}.\left({the}\:{bullet}\:{sticks}\:{with}\:{the}\:{block}\right) \\ $$$${Find}\:{theta} \\ $$…
Question Number 223631 by MathematicalUser2357 last updated on 01/Aug/25 Commented by MathematicalUser2357 last updated on 01/Aug/25 $$\mathrm{Find}\:{F}\left({x}\right) \\ $$ Answered by Frix last updated on…
Question Number 223626 by fantastic last updated on 01/Aug/25 $$\begin{cases}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{xy}=\mathrm{25}}\\{{y}^{\mathrm{2}} +{z}^{\mathrm{2}} +{yz}=\mathrm{49}}\\{{z}^{\mathrm{2}} +{x}^{\mathrm{2}} +{zx}=\mathrm{64}}\end{cases} \\ $$$$\left({x}+{y}+{z}\right)^{\mathrm{2}} −\mathrm{100}=?? \\ $$ Commented by Frix last…
Question Number 223659 by yerlow last updated on 01/Aug/25 Commented by yerlow last updated on 01/Aug/25 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\varepsilon. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 223636 by yerlow last updated on 01/Aug/25 $$\mathrm{Factor}\:\mathrm{the}\:\mathrm{following}\:\mathrm{expression}: \\ $$$$\left(\sqrt[{\mathrm{5}}]{\mathrm{arctan}\left({x}^{\mathrm{5}} +\mathrm{1}\right)}\right)^{{x}^{−{x}^{\mathrm{2}} } } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 223653 by ajfour last updated on 01/Aug/25 Commented by ajfour last updated on 01/Aug/25 $${Find}\:\theta\:{and}\:{k}. \\ $$$${We}\:{need}\:{to}\:{just}\:{make}\:{the}\:{ball}\:{make} \\ $$$${it}\:{to}\:{the}\:{cliff}.\:{The}\:{ground}\:{is}\:{frictionless}. \\ $$ Answered by…