Question Number 227328 by cherokeesay last updated on 16/Jan/26 Answered by som(math1967) last updated on 17/Jan/26 $${sin}^{\mathrm{10}} {x}+{cos}^{\mathrm{10}} {x}=\frac{\mathrm{11}}{\mathrm{36}} \\ $$$${let}\:{sin}^{\mathrm{2}} {x}={a},{cos}^{\mathrm{2}} {x}={b} \\ $$$$\:{a}^{\mathrm{5}}…
Question Number 227323 by CrispyXYZ last updated on 15/Jan/26 $$\mathrm{Is}\:\mathrm{there}\:\mathrm{an}\:{n}>\mathrm{11}\:\mathrm{such}\:\mathrm{that}\:\mathrm{every}\:\mathrm{digit}\:\mathrm{of}\:\mathrm{2}^{{n}} \\ $$$$\mathrm{in}\:\mathrm{decimal}\:\mathrm{representation}\:\mathrm{is}\:\mathrm{even}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 227319 by Lara2440 last updated on 15/Jan/26 $${f}\left({z}^{\mathrm{3}} +\frac{\mathrm{1}}{{z}^{\mathrm{3}} }\right)={z} \\ $$$${f}\left({z}\right)=? \\ $$ Answered by breniam last updated on 14/Jan/26 $$\left(\forall{z}\in\mathbb{R}\backslash\left\{\mathrm{0}\right\}\right)\left({f}\left({z}^{\mathrm{3}} +\frac{\mathrm{1}}{{z}^{\mathrm{3}}…
Question Number 227312 by hardmath last updated on 13/Jan/26 $$\mathrm{tg}\left(\mathrm{15}\right)\:+\:\mathrm{ctg}\left(\mathrm{5}\right)\:=\:? \\ $$ Answered by Kassista last updated on 13/Jan/26 $$ \\ $$$${tg}\left(\mathrm{3}\theta\right)\:=\:\frac{\mathrm{3}{tg}\left(\theta\right)−{tg}^{\mathrm{3}} \left(\theta\right)}{\mathrm{1}−\mathrm{3}{tg}^{\mathrm{2}} \left(\theta\right)}\:\therefore\:{tg}\left(\mathrm{15}\right)=\frac{\mathrm{3}{tg}\left(\mathrm{5}\right)−{tg}^{\mathrm{3}} \left(\mathrm{5}\right)}{\mathrm{1}−\mathrm{3}{tg}^{\mathrm{2}}…
Question Number 227294 by Spillover last updated on 12/Jan/26 Commented by Spillover last updated on 12/Jan/26 $${find}\:{shaded}\:{area}\:{of}\:{rectangle}\:{above} \\ $$ Answered by Spillover last updated on…
Question Number 227295 by Spillover last updated on 12/Jan/26 Answered by Spillover last updated on 12/Jan/26 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 227306 by Spillover last updated on 12/Jan/26 Commented by Spillover last updated on 12/Jan/26 $${Find}\:{the}\:{digit}\:{in}\:{the}\:{box} \\ $$ Answered by peace2 last updated on…
Question Number 227286 by hardmath last updated on 12/Jan/26 $$\mathrm{tg}\left(\mathrm{4}\right)\:+\:\mathrm{ctg}\left(\mathrm{4}\right)\:=\:? \\ $$ Answered by Frix last updated on 12/Jan/26 $$=\frac{\mathrm{2}}{\mathrm{sin}\:\mathrm{8}} \\ $$ Answered by Kassista…
Question Number 227276 by mr W last updated on 11/Jan/26 Commented by mr W last updated on 12/Jan/26 $${A}\:{hemispherical}\:{funnel}\:{is}\:{placed} \\ $$$${tightly}\:{against}\:{the}\:{top}\:{of}\:{a}\:{table}.\: \\ $$$${Water}\:{is}\:{poured}\:{into}\:{it}\:{slowly}\: \\ $$$${through}\:{a}\:{small}\:{hole}\:{located}\:{at}\:{the}\:…
Question Number 227272 by Spillover last updated on 11/Jan/26 Answered by breniam last updated on 12/Jan/26 $$\left({x}+\mathrm{1}\right){y}'\left({x}\right)−{y}\left({x}\right)={e}^{{x}} \left(\mathrm{1}+{x}\right)^{\mathrm{2}} \\ $$$${y}\left({x}\right)={a}\left({x}\right){b}\left({x}\right) \\ $$$${y}'\left({x}\right)={a}'\left({x}\right){b}\left({x}\right)+{a}\left({x}\right){b}'\left({x}\right) \\ $$$${a}\left({x}\right)\left(\left({x}+\mathrm{1}\right){b}'\left({x}\right)−{b}\left({x}\right)\right)+{a}'\left({x}\right){b}\left({x}\right)\left({x}+\mathrm{1}\right) \\…