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Question Number 140798 by Dwaipayan Shikari last updated on 12/May/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}^{\mathrm{3}} \begin{pmatrix}{\mathrm{4}{n}}\\{{n}}\end{pmatrix}} \\ $$ Commented by john_santu last updated on 14/May/21 $$\:\frac{\pi}{\mathrm{3}\sqrt{\mathrm{3}}} \\…
Question Number 75256 by must1987 last updated on 09/Dec/19 $${if}\:{B}\subseteq{A},{A}\Cap{B}'=\left\{\mathrm{1},\mathrm{4},\mathrm{5}\right\}\:{and}\:{A}\sqcup{B}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6}\right\},\:{find}\:{B}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 75242 by peter frank last updated on 08/Dec/19 $${Find}\:{th}\:{greatest}\:{coefficients} \\ $$$${in}\:{the}\:{expansion}\:{of} \\ $$$$\left(\mathrm{3}{a}+\mathrm{5}{b}\right)^{\mathrm{18}} \\ $$$$ \\ $$$$\left.\mathrm{2}\right){If}\:{three}\:{consecutive}\: \\ $$$${coefficient}\:{of}\:\left(\mathrm{1}+{x}\right)^{{n}} \:{are}\:\mathrm{28},\mathrm{56},\mathrm{70}. \\ $$$${find}\:{the}\:{value}\:{of}\:{n} \\…
Question Number 9658 by tawakalitu last updated on 23/Dec/16 $$\mathrm{Experiment}\:\mathrm{shows}\:\mathrm{that}\:\mathrm{the}\:\mathrm{viscous}\:\mathrm{force},\:\mathrm{F} \\ $$$$\mathrm{on}\:\mathrm{a}\:\mathrm{spherical}\:\mathrm{body}\:\mathrm{of}\:\mathrm{radius},\:\mathrm{r}\:\mathrm{moving}\:\mathrm{with} \\ $$$$\mathrm{angular}\:\mathrm{velocity},\:\mathrm{n}\:\mathrm{is},\:\mathrm{F}\:=\:\mathrm{Kr}^{\mathrm{a}} \mathrm{n}^{\mathrm{b}} \omega^{\mathrm{c}} . \\ $$$$\mathrm{Where}\:\mathrm{K}\:\mathrm{is}\:\mathrm{a}\:\mathrm{dimentionless}\:\mathrm{constant}. \\ $$$$\mathrm{using}\:\mathrm{the}\:\mathrm{method}\:\mathrm{of}\:\mathrm{dimentional}\:\mathrm{analysis}, \\ $$$$\mathrm{determine}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\mathrm{a},\:\mathrm{b}\:\mathrm{and}\:\mathrm{c} \\ $$…
Question Number 75193 by mathocean1 last updated on 08/Dec/19 $${it}\:{is}\:{given}\:{that}\:{cos}\frac{\pi}{\mathrm{5}}=\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{4}} \\ $$$${calculate}\:{the}\:{exact}\:{val}\mathrm{ue}\:{of}\: \\ $$$${cos}\frac{\mathrm{2}\pi}{\mathrm{5}}\:\:\:{and}\:\:{cos}\frac{\mathrm{3}\pi}{\mathrm{5}} \\ $$ Answered by $@ty@m123 last updated on 08/Dec/19 Commented by…
Question Number 75178 by Rio Michael last updated on 08/Dec/19 $${givn}\:{that}\:{z}\:=\:\mathrm{1}−{i}\sqrt{\mathrm{3}}\:{express}\:{z}\:{in}\:{the}\:{form}\: \\ $$$$\:{z}\:=\:{r}\left({cos}\theta\:+\:{isin}\theta\right),\:{hence}\:{express} \\ $$$${z}^{\mathrm{7}} \:{in}\:{the}\:{form}\:{re}^{{i}\theta} \\ $$ Answered by mr W last updated on…
Question Number 9637 by tawakalitu last updated on 22/Dec/16 $$\mathrm{A}\:\mathrm{body}\:\mathrm{starts}\:\mathrm{from}\:\mathrm{rest}\:\mathrm{and}\:\mathrm{move}\:\mathrm{with}\: \\ $$$$\mathrm{uniform}\:\mathrm{acceleration}\:\mathrm{of}\:\mathrm{6m}/\mathrm{s}^{\mathrm{2}} .\:\:\mathrm{what}\: \\ $$$$\mathrm{distance}\:\mathrm{does}\:\mathrm{it}\:\mathrm{covered}\:\mathrm{in}\:\mathrm{the}\:\mathrm{3rd}\:\mathrm{seconds}. \\ $$ Answered by ridwan balatif last updated on 22/Dec/16…
Question Number 9635 by tawakalitu last updated on 22/Dec/16 $$\mathrm{A}\:\mathrm{body}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{20g}\:\mathrm{performs}\:\mathrm{simple}\:\mathrm{harmonic} \\ $$$$\mathrm{motion}\:\mathrm{at}\:\mathrm{a}\:\mathrm{frequency}\:\mathrm{of}\:\mathrm{5Hz},\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance} \\ $$$$\mathrm{of}\:\mathrm{10cm}\:\mathrm{from}\:\mathrm{the}\:\mathrm{mean}\:\mathrm{position}.\:\mathrm{its}\:\mathrm{velocity} \\ $$$$\mathrm{is}\:\mathrm{200cm}/\mathrm{s}.\:\:\mathrm{calculate} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{Maximum}\:\mathrm{displacement}\:\mathrm{from}\:\mathrm{the}\:\mathrm{mean} \\ $$$$\mathrm{position} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{Maximum}\:\mathrm{velocity} \\ $$$$\left(\mathrm{iii}\right)\:\mathrm{Maximum}\:\mathrm{potential}\:\mathrm{energy}. \\…
Question Number 9636 by tawakalitu last updated on 22/Dec/16 $$\mathrm{The}\:\mathrm{distance}\:\mathrm{x}\:\mathrm{m}\:\mathrm{have}\:\mathrm{used}\:\mathrm{by}\:\mathrm{a}\:\mathrm{particle}\:\mathrm{in} \\ $$$$\mathrm{time}\:\mathrm{t}\:\mathrm{sec}\:\mathrm{is}\:\mathrm{described}\:\mathrm{by}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{x}\:=\:\mathrm{10}\:+\:\mathrm{12t}^{\mathrm{2}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{average}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{the}\:\mathrm{particle}\:\mathrm{between} \\ $$$$\mathrm{the}\:\mathrm{interval}\:\mathrm{t}\:=\:\mathrm{2}\:\mathrm{sec}\:\mathrm{and}\:\mathrm{t}\:=\:\mathrm{5}\:\mathrm{sec} \\ $$ Commented by ridwan balatif last…