# Category: Arithmetic

Question Number 211020 by peter frank last updated on 26/Aug/24 Answered by mahdipoor last updated on 26/Aug/24 $${dV}=\left(\pi{y}^{\mathrm{2}} \right)\left({dx}\right)=\pi\frac{\left({x}−{a}\right)^{\mathrm{2}} \left({x}−{b}\right)^{\mathrm{2}} }{{c}^{\mathrm{2}} }{dx} \\$$$${V}=\int{dV}=\frac{\pi}{{c}^{\mathrm{2}} }\int_{{a}}… ## Question-211019 Question Number 211019 by peter frank last updated on 26/Aug/24 Answered by som(math1967) last updated on 26/Aug/24$$\:{let}\:{x}={sin}\alpha\:\:{y}={sin}\beta \\ \:{cos}\alpha+{cos}\beta={a}\left({sin}\alpha−{sin}\beta\right) \\ \Rightarrow\frac{\mathrm{2}{cos}\frac{\alpha+\beta}{\mathrm{2}}{cos}\frac{\alpha−\beta}{\mathrm{2}}}{\mathrm{2}{sin}\frac{\alpha−\beta}{\mathrm{2}}{cos}\frac{\alpha+\beta}{\mathrm{2}}}={a} \\ \Rightarrow{cot}\frac{\alpha−\beta}{\mathrm{2}}={a} \\…
Question Number 210974 by bns970 last updated on 25/Aug/24 $$\sqrt{\mathrm{25}} \\$$ Answered by TonyCWX08 last updated on 25/Aug/24 $$\sqrt{\mathrm{25}} \\$$$$=\pm\mathrm{5} \\$$ Commented…