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Author: Tinku Tara

Question-20881

Question Number 20881 by tawa tawa last updated on 05/Sep/17 Answered by mrW1 last updated on 06/Sep/17 $$\left(\mathrm{ax}+\mathrm{ay}\right)^{\mathrm{n}} =\mathrm{a}^{\mathrm{n}} \left(\mathrm{x}+\mathrm{y}\right)^{\mathrm{n}} \\ $$$$\mathrm{since}\:\mathrm{a}\:\mathrm{middle}\:\mathrm{term}\:\mathrm{exists},\:\mathrm{n}\:\mathrm{is}\:\mathrm{even}. \\ $$$$\mathrm{its}\:\mathrm{middle}\:\mathrm{term}\:\mathrm{is} \\…

Question-20876

Question Number 20876 by ajfour last updated on 05/Sep/17 Commented by ajfour last updated on 05/Sep/17 $${Rod}\:{AB}\:{is}\:{initially}\:{on}\:{a}\:{tabletop}. \\ $$$${End}\:{a}\:{given}\:{only}\:{a}\:{little}\:{push}\:{to} \\ $$$${start}\:{the}\:{fall}\:{of}\:{the}\:{rod}\:{as}\:{it}\:{turns} \\ $$$${through}\:{end}\:{B}\:{where}\:{static}\:{friction} \\ $$$${coefficient}\:{is}\:{high}\:{enough}.…

Find-solution-set-of-equation-6cos-x-8sin-x-5-3-0-x-360-

Question Number 151941 by john_santu last updated on 24/Aug/21 $$\mathrm{Find}\:\mathrm{solution}\:\mathrm{set}\:\mathrm{of}\:\mathrm{equation} \\ $$$$\:\mathrm{6cos}\:\mathrm{x}−\mathrm{8sin}\:\mathrm{x}=\mathrm{5}\sqrt{\mathrm{3}} \\ $$$$\:\mathrm{0}°\leqslant\mathrm{x}\leqslant\mathrm{360}° \\ $$ Answered by iloveisrael last updated on 24/Aug/21 $$\:\Leftrightarrow\:\mathrm{3cos}\:{x}−\mathrm{4sin}\:{x}\:=\:\frac{\mathrm{5}\sqrt{\mathrm{3}}}{\mathrm{2}} \\…

let-u-i-j-k-and-v-2i-j-3k-o-i-j-k-orthonormal-1-calculate-u-v-u-v-2-calculate-cos-u-v-3-calculate-u-v-and-sin-u-v-

Question Number 86406 by mathmax by abdo last updated on 28/Mar/20 $${let}\:\:\overset{\rightarrow} {{u}}=\overset{\rightarrow} {{i}}−\overset{\rightarrow} {{j}}\:+\overset{\rightarrow} {{k}}\:{and}\:\overset{\rightarrow} {{v}}=\mathrm{2}\overset{\rightarrow} {{i}}+\overset{\rightarrow} {{j}}\:+\mathrm{3}\overset{\rightarrow} {{k}} \\ $$$$\left({o},{i},{j},{k}\right)\:{orthonormal} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:\:\mid\mid\overset{\rightarrow} {{u}}\mid\mid\:\:,\mid\mid\overset{\rightarrow}…