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Author: Tinku Tara

solve-the-value-of-x-5logx-x-4-

Question Number 9875 by j.masanja06@gmail.com last updated on 11/Jan/17 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}. \\ $$$$\mathrm{5logx}=\frac{\mathrm{x}}{\mathrm{4}} \\ $$ Answered by mrW1 last updated on 12/Jan/17 $$\mathrm{5log}\:{x}=\frac{{x}}{\mathrm{4}} \\ $$$$\mathrm{log}\:{x}=\frac{{x}}{\mathrm{20}} \\…

if-the-eqution-x-3-3hx-q-0-has-the-roots-and-find-the-eqution-with-the-roots-of-i-1-1-1-ii-1-2-1-2-1-2-

Question Number 9874 by j.masanja06@gmail.com last updated on 11/Jan/17 $$\mathrm{if}\:\mathrm{the}\:\mathrm{eqution}\:\mathrm{x}^{\mathrm{3}} +\mathrm{3hx}\:+\:\mathrm{q}=\mathrm{0}\:\mathrm{has}\:\mathrm{the} \\ $$$$\mathrm{roots}\:\alpha,\beta\:\:\mathrm{and}\:\gamma. \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{eqution}\:\mathrm{with}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}; \\ $$$$\left(\mathrm{i}\right)\frac{\mathrm{1}}{\alpha\beta}\:+\:\frac{\mathrm{1}}{\beta\gamma}\:+\:\frac{\mathrm{1}}{\alpha\gamma} \\ $$$$\left(\mathrm{ii}\right)\frac{\mathrm{1}}{\alpha^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\beta^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\gamma^{\mathrm{2}} } \\ $$$$ \\…

find-the-relation-between-a-b-c-and-d-if-the-roots-of-the-eqution-ax-3-bx-2-cx-d-0-are-in-i-A-P-ii-G-P-

Question Number 9873 by j.masanja06@gmail.com last updated on 11/Jan/17 $$\mathrm{find}\:\mathrm{the}\:\mathrm{relation}\:\mathrm{between}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{and}\:\:\mathrm{d} \\ $$$$\mathrm{if}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{eqution}\: \\ $$$$\mathrm{ax}^{\mathrm{3}} \:+\:\mathrm{bx}^{\mathrm{2}} +\mathrm{cx}+\mathrm{d}=\mathrm{0}\:\:\mathrm{are}\:\mathrm{in}; \\ $$$$\left(\mathrm{i}\right)\mathrm{A}.\mathrm{P} \\ $$$$\left(\mathrm{ii}\right)\mathrm{G}.\mathrm{P} \\ $$ Answered by bansal22luvi@gmail.com…

find-the-value-of-n-1-99-n-1-n-2-n-4-a-0-46-and-0-47-b-0-47-and-0-48-c-0-48-and-0-49-d-0-49-and-0-50-kush-

Question Number 9869 by bansal22luvi@gmail.com last updated on 10/Jan/17 $${find}\:{the}\:{value}\:{of} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\:\:\frac{{n}}{\mathrm{1}+{n}^{\mathrm{2}} +{n}^{\mathrm{4}} } \\ $$$$\left.{a}\right)\mathrm{0}.\mathrm{46}\:{and}\:\mathrm{0}.\mathrm{47} \\ $$$$\left.{b}\right)\mathrm{0}.\mathrm{47}\:{and}\:\mathrm{0}.\mathrm{48} \\ $$$$\left.{c}\right)\mathrm{0}.\mathrm{48}\:{and}\:\mathrm{0}.\mathrm{49} \\ $$$$\left.{d}\right)\mathrm{0}.\mathrm{49}\:{and}\:\mathrm{0}.\mathrm{50} \\…

Explain-the-proof-with-appropriate-diagram-Lim-h-0-f-x-f-x-h-h-dy-dx-where-y-f-x-

Question Number 75402 by vishalbhardwaj last updated on 10/Dec/19 $$\mathrm{Explain}\:\mathrm{the}\:\mathrm{proof}\: \\ $$$$\mathrm{with}\:\mathrm{appropriate} \\ $$$$\mathrm{diagram}\::\: \\ $$$$\mathrm{Lim}_{{h}\rightarrow\mathrm{0}} \frac{{f}\left({x}\right)−{f}\left({x}−{h}\right)}{−{h}}\: \\ $$$$\:\:\:=\:\frac{{dy}}{{dx}}\:,\:\mathrm{where}\:{y}\:=\:{f}\left({x}\right) \\ $$ Commented by Kunal12588 last…

Question-75403

Question Number 75403 by TawaTawa last updated on 10/Dec/19 Answered by mind is power last updated on 10/Dec/19 $$=\left(\underset{\mathrm{m}\geqslant\mathrm{0}} {\sum}\frac{\mathrm{1}}{\left(\mathrm{2m}+\mathrm{1}\right)^{\mathrm{6}} }\right)\left(\underset{\mathrm{n}=\mathrm{1}} {\overset{+\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{\mathrm{n}+\mathrm{1}} }{\mathrm{4n}^{\mathrm{2}} −\mathrm{1}}\right)…

x-sgn-x-3-x-x-2-4-9-

Question Number 140939 by iloveisrael last updated on 14/May/21 $$\:{x}^{\mathrm{sgn}\:\left({x}^{\mathrm{3}} −{x}\right)} \:=\:{x}^{\mathrm{2}} \:−\:\frac{\mathrm{4}}{\mathrm{9}}\: \\ $$ Answered by john_santu last updated on 14/May/21 $$\:{x}\:=\:−\frac{\mathrm{1}}{\mathrm{3}}\:\wedge\:{x}=\frac{\mathrm{4}}{\mathrm{3}} \\ $$…