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Author: Tinku Tara

If-the-roots-of-quadratic-equation-ax-2-bx-c-0-were-within-the-interval-0-1-the-maximum-value-from-2a-b-a-b-a-a-b-c-is-

Question Number 10168 by Joel575 last updated on 28/Jan/17 $$\mathrm{If}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{quadratic}\:\mathrm{equation} \\ $$$${ax}^{\mathrm{2}} \:+\:{bx}\:+\:{c}\:=\:\mathrm{0} \\ $$$$\mathrm{were}\:\mathrm{within}\:\mathrm{the}\:\mathrm{interval}\:\left[\mathrm{0},\mathrm{1}\right], \\ $$$$\mathrm{the}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{from} \\ $$$$\frac{\left(\mathrm{2}{a}−{b}\right)\left({a}−{b}\right)}{{a}\left({a}−{b}+{c}\right)}\:\:\:\:\mathrm{is}\:… \\ $$ Terms of Service Privacy…

Question-10166

Question Number 10166 by Joel575 last updated on 28/Jan/17 Commented by Joel575 last updated on 28/Jan/17 $$\mathrm{Two}\:\mathrm{circles}\:\mathrm{with}\:\mathrm{same}\:\mathrm{center}\:\mathrm{point}\:\mathrm{have} \\ $$$$\mathrm{R}_{\mathrm{1}} \:\mathrm{and}\:\mathrm{R}_{\mathrm{2}} \:\mathrm{with}\:\mathrm{R}_{\mathrm{1}} \:<\:\mathrm{R}_{\mathrm{2}} \\ $$$$\mathrm{If}\:\mathrm{the}\:\mathrm{long}\:\mathrm{of}\:\mathrm{AB}\:\mathrm{bowstring}\:\mathrm{is}\:\mathrm{10}\:\mathrm{cm}, \\…

prove-that-lim-x-x-1-x-1-

Question Number 75694 by malwaan last updated on 15/Dec/19 $$\boldsymbol{{prove}}\:\boldsymbol{{that}}\: \\ $$$$\underset{\boldsymbol{{x}}\rightarrow\infty} {\boldsymbol{{lim}}}\:\boldsymbol{{x}}^{\frac{\mathrm{1}}{\boldsymbol{{x}}}} \:=\mathrm{1} \\ $$ Answered by vishalbhardwaj last updated on 15/Dec/19 $$\left({as}\:{x}\rightarrow\infty\:\mathrm{then}\:\frac{\mathrm{1}}{{x}}\:\rightarrow\:\mathrm{0}\right) \\…

the-difference-of-two-number-is-3-if-the-sum-of-their-reciprocal-is-7-10-find-the-numbres-

Question Number 10157 by ketto last updated on 27/Jan/17 $${the}\:{difference}\:{of}\:{two}\:{number}\:{is}\:\mathrm{3}. \\ $$$${if}\:{the}\:{sum}\:{of}\:{their}\:{reciprocal}\:{is}\: \\ $$$$\frac{\mathrm{7}}{\mathrm{10}}\:.\:{find}\:{the}\:{numbres} \\ $$ Answered by FilupSmith last updated on 28/Jan/17 $${a}−{b}=\mathrm{3}\:\:\:\:\Rightarrow\:\:\:\:{a}=\mathrm{3}+{b} \\…

solve-for-x-sin-x-3cos-x-1-

Question Number 10155 by Tawakalitu ayo mi last updated on 27/Jan/17 $$\mathrm{solve}\:\mathrm{for}\:\mathrm{x} \\ $$$$\mathrm{sin}\left(\mathrm{x}\right)\:−\:\sqrt{\mathrm{3cos}\left(\mathrm{x}\right)}\:=\:\mathrm{1} \\ $$ Answered by mrW1 last updated on 28/Jan/17 $$\mathrm{sin}\:\left({x}\right)=\mathrm{1}+\sqrt{\mathrm{3cos}\:\left({x}\right)}\geqslant\mathrm{1} \\…

The-sum-of-the-first-term-of-sequence-is-given-by-S-n-5n-2-2n-A-sequence-U-1-U-2-U-3-is-defined-by-U-t-S-t-S-t-1-Express-U-t-in-terms-of-it-simplest-form-and-show-th

Question Number 10154 by Tawakalitu ayo mi last updated on 27/Jan/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first}\:\mathrm{term}\:\mathrm{of}\:\mathrm{sequence}\:\mathrm{is}\: \\ $$$$\mathrm{given}\:\mathrm{by}\:\:\mathrm{S}_{\mathrm{n}} \:=\:\mathrm{5n}^{\mathrm{2}} \:−\:\mathrm{2n}.\:\mathrm{A}\:\mathrm{sequence}\:\: \\ $$$$\mathrm{U}_{\mathrm{1}} ,\:\mathrm{U}_{\mathrm{2}} ,\:\mathrm{U}_{\mathrm{3}} \:….\:\mathrm{is}\:\mathrm{defined}\:\mathrm{by}\:\mathrm{U}_{\mathrm{t}} \:=\:\mathrm{S}_{\mathrm{t}} \:−\:\mathrm{S}_{\mathrm{t}\:−\:\mathrm{1}} . \\…

Question-141227

Question Number 141227 by ajfour last updated on 16/May/21 Commented by ajfour last updated on 16/May/21 $${The}\:{cubic}\:{curve}\:{is}\:{y}={x}^{\mathrm{3}} −{x}−{c} \\ $$$${Find}\:{radii}\:{R}\:{and}\:{s}\:{without} \\ $$$${having}\:{to}\:{find}\:\alpha,\:\beta,\:\gamma. \\ $$ Commented…