Question Number 159479 by quvonnn last updated on 17/Nov/21 Answered by Tokugami last updated on 17/Nov/21 $$\frac{\mathrm{2}}{\mathrm{4}×\mathrm{2}!}+\frac{\mathrm{2}}{\mathrm{5}×\mathrm{3}!}+\frac{\mathrm{2}}{\mathrm{6}×\mathrm{4}!}+\frac{\mathrm{2}}{\mathrm{7}×\mathrm{5}!}+\frac{\mathrm{2}}{\mathrm{8}×\mathrm{6}!}+… \\ $$$$=\underset{{n}=\mathrm{2}} {\overset{\infty} {\sum}}\frac{\mathrm{2}}{\left({n}+\mathrm{2}\right){n}!} \\ $$$$=\mathrm{2}\underset{{n}=\mathrm{2}} {\overset{\infty} {\sum}}\frac{\mathrm{1}\left({n}+\mathrm{1}\right)}{\left({n}+\mathrm{2}\right)\left({n}+\mathrm{1}\right){n}!}…
Question Number 159472 by mnjuly1970 last updated on 17/Nov/21 Answered by MJS_new last updated on 18/Nov/21 $$\mathrm{1}−{x}^{\mathrm{2}} \geqslant\mathrm{0}\:\Rightarrow\:−\mathrm{1}\leqslant{x}\leqslant\mathrm{1} \\ $$$${x}+\lfloor{x}\rfloor\geqslant\mathrm{0}\:\Rightarrow\:{x}\geqslant\mathrm{0} \\ $$$$\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }−\sqrt{{x}+\lfloor{x}\rfloor}\geqslant\mathrm{0} \\ $$$$\:\:\:\:\:\mathrm{1}−{x}^{\mathrm{2}}…
Question Number 28393 by Joel578 last updated on 25/Jan/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\underset{{i}\:=\:\mathrm{0}} {\overset{\mathrm{33}} {\sum}}\:\begin{pmatrix}{\mathrm{99}}\\{\mathrm{3}{k}}\end{pmatrix} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 159453 by Avijit007 last updated on 17/Nov/21 $$\mathrm{x}\:{and}\:\mathrm{y}\:{are}\:{real}\:{value}\:{and} \\ $$$$\:\mathrm{x}+\mathrm{iy}=\frac{\mathrm{5}}{−\mathrm{3}+\mathrm{4}{i}}\:{find}\:\mathrm{x}\:{and}\:\mathrm{y}.\left(\mathrm{i}=\sqrt{−\mathrm{1}}\right) \\ $$ Commented by Avijit007 last updated on 17/Nov/21 $${help}. \\ $$ Answered…
Question Number 93916 by ajfour last updated on 16/May/20 Commented by mr W last updated on 16/May/20 $${it}'{s}\:{great}\:{sir}! \\ $$$${with}\:{b}=\mathrm{3},\:{c}=\mathrm{1}\:{i}\:{didn}'{t}\:{get}\:{the}\:{expected} \\ $$$${root}.\:{can}\:{you}\:{recheck}\:{please}? \\ $$ Commented…
Question Number 28382 by Ruchinna1 last updated on 25/Jan/18 $${A}\:{boat}\:{of}\:{mass}\:{m},\:{traveling}\:{with}\:{v}\:{of}\:{Vo}\:{at} \\ $$$${t}=\mathrm{0}.\:{A}\:{power}\:{is}\:{shut}\:{off}\:{assuming}\:{water}\: \\ $$$${resistance}\:{is}\:{proportioal}\:{to}\:{V}\hat {{n}}\:\:{and}\:{V}\:{is}\: \\ $$$${instantaneous}\:{velocity}\:{find}\:{V}\:{as}\:{a}\:{function} \\ $$$${of}\:{the}\:{distance}\:{travelled} \\ $$ Answered by ajfour last…
Question Number 28375 by Ruchinna1 last updated on 25/Jan/18 $$\:\mathrm{4}{kg}\:{ball}\:{falls}\:{from}\:{rest}\:{at}\:{time}\:{t}\:=\mathrm{0}\:{in}\:{a}\: \\ $$$${medium}\:{offering}\:\:{a}\:{resistance}\:{in}\:{kg}\: \\ $$$${numerically}\:{equal}\:{to}\:{twice}\:{its}\:{instantaneous} \\ $$$${velocity}\:{in}\:{m}/{s}. \\ $$$${find}; \\ $$$$\left({a}\right)\:{the}\:{velocity}\:{and}\:{distance}\:{travelled}\:{at}\:{any}\: \\ $$$${time}\:{t}>\mathrm{0}\: \\ $$$$\left({b}\right)\:{the}\:{limiting}\:{velocity}\: \\…
Question Number 28381 by Ruchinna1 last updated on 25/Jan/18 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28372 by abdo imad last updated on 24/Jan/18 $${let}\:{give}\:{w}={e}^{{i}\mathrm{2}\frac{\pi}{{n}}} \:\:\:\:.{calculate}\:\:\prod_{{l}=\mathrm{0}_{{l}\neq{k}} } ^{{n}−\mathrm{1}} \:\:\:\left({w}^{{k}} \:\:−{w}^{{l}} \right)\:. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 28371 by abdo imad last updated on 24/Jan/18 $${prove}\:{that}\:{x}^{\mathrm{2}} −\mathrm{2}{x}\:{cos}\theta\:+\mathrm{1}\:{divide}\:{x}^{\mathrm{2}{n}} \:−\mathrm{2}{x}^{{n}} {cos}\left({n}\theta\right)+\mathrm{1} \\ $$ Commented by abdo imad last updated on 25/Jan/18 $${let}\:{put}\:\:\:{p}_{{n}}…