Menu Close

Category: Others

prove-that-n-1-a-n-b-n-p-1-p-n-1-a-n-p-1-p-n-1-b-n-p-1-p-

Question Number 9758 by richard last updated on 31/Dec/16 $$\mathrm{prove}\:\mathrm{that} \\ $$$$\left(\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left({a}_{{n}} +{b}_{{n}} \right)^{{p}} \right)^{\mathrm{1}/{p}} \leqslant\left(\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}{a}_{{n}} ^{{p}} \right)^{\mathrm{1}/{p}} +\left(\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}{b}_{{n}}…

n-1-1-n-3-4n-n-

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}}} \\…

Find-th-greatest-coefficients-in-the-expansion-of-3a-5b-18-2-If-three-consecutive-coefficient-of-1-x-n-are-28-56-70-find-the-value-of-n-

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} \\…

Experiment-shows-that-the-viscous-force-F-on-a-spherical-body-of-radius-r-moving-with-angular-velocity-n-is-F-Kr-a-n-b-c-Where-K-is-a-dimentionless-constant-using-the-method-of-dimentional-

Question Number 9658 by tawakalitu last updated on 23/Dec/16 $$\mathrm{Experiment}\:\mathrm{shows}\:\mathrm{that}\:\mathrm{the}\:\mathrm{viscous}\:\mathrm{force},\:\mathrm{F} \\ $$$$\mathrm{on}\:\mathrm{a}\:\mathrm{spherical}\:\mathrm{body}\:\mathrm{of}\:\mathrm{radius},\:\mathrm{r}\:\mathrm{moving}\:\mathrm{with} \\ $$$$\mathrm{angular}\:\mathrm{velocity},\:\mathrm{n}\:\mathrm{is},\:\mathrm{F}\:=\:\mathrm{Kr}^{\mathrm{a}} \mathrm{n}^{\mathrm{b}} \omega^{\mathrm{c}} . \\ $$$$\mathrm{Where}\:\mathrm{K}\:\mathrm{is}\:\mathrm{a}\:\mathrm{dimentionless}\:\mathrm{constant}. \\ $$$$\mathrm{using}\:\mathrm{the}\:\mathrm{method}\:\mathrm{of}\:\mathrm{dimentional}\:\mathrm{analysis}, \\ $$$$\mathrm{determine}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\mathrm{a},\:\mathrm{b}\:\mathrm{and}\:\mathrm{c} \\ $$…

it-is-given-that-cos-pi-5-1-5-4-calculate-the-exact-value-of-cos-2pi-5-and-cos-3pi-5-

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…

A-body-starts-from-rest-and-move-with-uniform-acceleration-of-6m-s-2-what-distance-does-it-covered-in-the-3rd-seconds-

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…