Question Number 216270 by MATHEMATICSAM last updated on 02/Feb/25 $$\mathrm{If}\:\left({b}\:−\:{c}\right){x}\:+\:\left({c}\:−\:{a}\right){y}\:+\:\left({a}\:−\:{b}\right){z}\:=\:\mathrm{0}\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{b}\:−\:{c}}{{y}\:−\:{z}}\:=\:\frac{{c}\:−\:{a}}{{z}\:−\:{x}}\:=\:\frac{{a}\:−\:{b}}{{x}\:−\:{y}}\:. \\ $$ Answered by Rasheed.Sindhi last updated on 02/Feb/25 $$\mathrm{If}\:\left({b}\:−\:{c}\right){x}\:+\:\left({c}\:−\:{a}\right){y}\:+\:\left({a}\:−\:{b}\right){z}\:=\:\mathrm{0}\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{b}\:−\:{c}}{{y}\:−\:{z}}\:=\:\frac{{c}\:−\:{a}}{{z}\:−\:{x}}\:=\:\frac{{a}\:−\:{b}}{{x}\:−\:{y}}\:. \\…
Question Number 216281 by MrGaster last updated on 02/Feb/25 $$\mathrm{Prove}:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {d}\phi\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {f}\left(\mathrm{sin}\theta\:\mathrm{cos}\:\theta\right)\mathrm{sin}\theta\:{d}\theta=\frac{\pi}{\mathrm{2}}\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx} \\ $$ Commented by mr W last updated on…
Question Number 216265 by BaliramKumar last updated on 02/Feb/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 216266 by mathlove last updated on 02/Feb/25 $$\sqrt{\mathrm{2}}\:^{\sqrt{\mathrm{2}}\:^{\sqrt{\mathrm{2}}\:^{\iddots} } } =? \\ $$ Answered by BaliramKumar last updated on 02/Feb/25 $$\left(\sqrt{\mathrm{2}}\right)^{{x}} \:=\:{x} \\…
Question Number 216279 by BaliramKumar last updated on 02/Feb/25 Commented by mairatonny last updated on 02/Feb/25 Commented by mairatonny last updated on 02/Feb/25 someone please do these maths please Commented…
Question Number 216274 by mnjuly1970 last updated on 02/Feb/25 $$ \\ $$$$\:\:\:{prove}\:{that}\:: \\ $$$$ \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:{cos}\left(\:{n}\:\right)}{{n}}\:\left(\:\mathrm{1}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\:+\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\:+\:…+\frac{\mathrm{1}}{\:\sqrt{{n}}}\:\right) \\ $$$$\:\: \\ $$$$\:\:\:\:\:\:{is}\:\:\:{convergent}. \\ $$$$ \\…
Question Number 216253 by MATHEMATICSAM last updated on 01/Feb/25 $$\mathrm{If}\:{x}\:\mathrm{is}\:\mathrm{a}\:\mathrm{positive}\:\mathrm{acute}\:\mathrm{angle}\:\mathrm{and} \\ $$$$\mathrm{sin}{x}\:+\:\mathrm{sin}^{\mathrm{2}} {x}\:+\:\mathrm{sin}^{\mathrm{3}} {x}\:=\:\mathrm{1}\:\mathrm{then}\:\mathrm{find} \\ $$$$\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{cot}^{\mathrm{2}} {x}. \\ $$ Commented by Frix last updated on…
Question Number 216239 by mr W last updated on 01/Feb/25 Commented by mr W last updated on 01/Feb/25 $${find}\:{area}\:{of}\:{triangle} \\ $$ Commented by SonGoku last…
Question Number 216251 by Abdullahrussell last updated on 01/Feb/25 $${Find}\:{the}\:{smallest}\:{value}\:{of}\:{the}\:{expression} \\ $$$$\:\lfloor\frac{{a}+{b}+{c}}{{d}}\rfloor+\lfloor\frac{{b}+{c}+{d}}{{a}}\rfloor+\lfloor\frac{{c}+{d}+{a}}{{b}}\rfloor+\lfloor\frac{{d}+{a}+{b}}{{c}}\rfloor \\ $$$$\:\:\left({a},{b},{c},{d}\right)\in{N} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 216245 by Tawa11 last updated on 01/Feb/25 Commented by Tawa11 last updated on 01/Feb/25 $$\mathrm{I}\:\mathrm{can}\:\mathrm{use}\:\mathrm{cosine}\:\mathrm{rule}. \\ $$$$\mathrm{But}\:\mathrm{I}\:\mathrm{want}\:\mathrm{to}\:\mathrm{see}\:\mathrm{if}\:\mathrm{there}\:\mathrm{is} \\ $$$$\mathrm{better}\:\mathrm{approach}. \\ $$ Commented by…