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Author: Tinku Tara

if-minimum-value-of-g-a-b-a-2-b-2-10a-10b-50-b-2-4y-20-a-2-14a-74-is-n-and-occurs-at-a-b-the-find-n-4-3-

Question Number 140417 by mathsuji last updated on 07/May/21 $${if}\:{minimum}\:{value}\:{of} \\ $$$${g}\left({a};{b}\right)=\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} −\mathrm{10}{a}−\mathrm{10}{b}+\mathrm{50}}+\sqrt{{b}^{\mathrm{2}} −\mathrm{4}{y}+\mathrm{20}}+ \\ $$$$+\sqrt{{a}^{\mathrm{2}} −\mathrm{14}{a}+\mathrm{74}} \\ $$$${is}\:{n}\:{and}\:{occurs}\:{at}\:{a}=\gamma\:,\:{b}=\delta,\:{the}\:{find} \\ $$$$\left({n}+\mathrm{4}\gamma+\mathrm{3}\delta\right)=? \\ $$ Answered…

Question-74882

Question Number 74882 by ajfour last updated on 03/Dec/19 Commented by ajfour last updated on 03/Dec/19 $${If}\:{each}\:{small}\:{blue}\:{triangles} \\ $$$${have}\:{the}\:{same}\:{area},\:{and}\:{each} \\ $$$${small}\:{quadrilaterals}\:{have}\:{the} \\ $$$${same}\:{area},\:{find}\:{ratio}\:{of}\:{length} \\ $$$${to}\:{breadth}\:{of}\:{the}\:{outer}\:{rectangle}.…

find-the-value-of-n-1-1-4n-4n-1-4n-2-4n-3-

Question Number 140405 by mnjuly1970 last updated on 07/May/21 $$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:{find}\:\:{the}\:\:{value}\:{of}\::: \\ $$$$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\Theta\::=\underset{{n}=\mathrm{1}\:} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{4}{n}.\left(\mathrm{4}{n}+\mathrm{1}\right).\left(\mathrm{4}{n}+\mathrm{2}\right).\left(\mathrm{4}{n}+\mathrm{3}\right)}=? \\ $$$$\:\:\:\:\: \\ $$ Answered by qaz…

solve-with-explanation-lim-x-0-x-sinx-where-represents-greatest-integer-

Question Number 74870 by vishalbhardwaj last updated on 02/Dec/19 $$\mathrm{solve}\:\mathrm{with}\:\mathrm{explanation} \\ $$$$\mathrm{li}\underset{\mathrm{x}\rightarrow\mathrm{0}^{−} } {\mathrm{m}}\left[\frac{\mathrm{x}}{\mathrm{sinx}}\right],\:\mathrm{where}\:\left[\:\:\right]\:\mathrm{represents}\:\mathrm{greatest}\:\mathrm{integer} \\ $$ Commented by mathmax by abdo last updated on 02/Dec/19…

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Question Number 9334 by j.masanja06@gmail.com last updated on 30/Nov/16 $$\mathrm{express}\:\mathrm{the}\:\mathrm{following}\:\mathrm{in}\:\mathrm{form}\:\mathrm{of}\:\mathrm{log}\:\mathrm{a}\left(\mathrm{f}\left(\mathrm{x}\right)\right) \\ $$$$\left(\mathrm{i}\right)\:\mathrm{4log}_{\mathrm{a}} \mathrm{x}−\mathrm{log}_{\mathrm{a}} \left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}^{\mathrm{3}} \right) \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{log}_{\mathrm{a}} \mathrm{x}\:+\:\:\mathrm{log}_{\mathrm{a}} \left(\mathrm{x}+\mathrm{3}\right) \\ $$ Answered by mrW…