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Author: Tinku Tara

If-c-gt-0-and-4a-c-lt-2b-then-ax-2-bx-c-0-has-a-root-in-which-intervals-a-0-2-b-2-3-c-3-4-d-2-0-

Question Number 12305 by Gaurav3651 last updated on 18/Apr/17 $${If}\:{c}>\mathrm{0}\:{and}\:\mathrm{4}{a}+{c}<\mathrm{2}{b},{then} \\ $$$${ax}^{\mathrm{2}} −{bx}+{c}=\mathrm{0}\:{has}\:{a}\:{root}\:{in}\:{which} \\ $$$${intervals}? \\ $$$$\left({a}\right)\:\:\left(\mathrm{0},\mathrm{2}\right) \\ $$$$\left({b}\right)\:\:\left(\mathrm{2},\mathrm{3}\right) \\ $$$$\left({c}\right)\:\:\left(\mathrm{3},\mathrm{4}\right) \\ $$$$\left({d}\right)\:\:\left(−\mathrm{2},\mathrm{0}\right) \\ $$…

How-many-geometric-progressions-is-are-possible-contauning-27-8-and-12-as-three-of-its-their-terms-a-1-b-2-c-4-d-infinitely-many-

Question Number 12304 by Gaurav3651 last updated on 18/Apr/17 $${How}\:{many}\:{geometric}\:{progressions} \\ $$$${is}/{are}\:{possible}\:{contauning}\:\mathrm{27},\mathrm{8} \\ $$$${and}\:\mathrm{12}\:{as}\:{three}\:{of}\:{its}/{their}\:{terms}? \\ $$$$\left({a}\right)\:\:\mathrm{1} \\ $$$$\left({b}\right)\:\:\mathrm{2} \\ $$$$\left({c}\right)\:\:\mathrm{4} \\ $$$$\left({d}\right)\:\:{infinitely}\:{many} \\ $$$$ \\…

What-is-1-3-1-x-4-dx-equal-to-a-232-5-b-116-5-c-116-5-d-232-5-

Question Number 12303 by Gaurav3651 last updated on 18/Apr/17 $${What}\:{is}\underset{\mathrm{1}} {\overset{\mathrm{3}} {\int}}\mid\mathrm{1}−{x}^{\mathrm{4}} \:\mid{dx}\:{equal}\:{to}? \\ $$$$\left({a}\right)\:\:−\mathrm{232}/\mathrm{5} \\ $$$$\left({b}\right)\:\:−\mathrm{116}/\mathrm{5} \\ $$$$\left({c}\right)\:\:\:\mathrm{116}/\mathrm{5} \\ $$$$\left({d}\right)\:\:\:\mathrm{232}/\mathrm{5} \\ $$ Answered by…

Let-f-x-be-a-function-such-that-f-1-x-x-3-f-x-0-What-is-1-1-f-x-dx-equal-to-a-2f-1-b-0-c-2f-1-d-4f-1-

Question Number 12302 by Gaurav3651 last updated on 18/Apr/17 $${Let}\:{f}\left({x}\right)\:{be}\:{a}\:{function}\:{such}\:{that} \\ $$$${f}'\left(\mathrm{1}/{x}\right)+{x}^{\mathrm{3}} {f}'\left({x}\right)=\mathrm{0}. \\ $$$${What}\:{is}\:\underset{−\mathrm{1}} {\overset{\mathrm{1}} {\int}}{f}\left({x}\right){dx}\:{equal}\:{to}? \\ $$$$\left({a}\right)\:\:\mathrm{2}{f}\left(\mathrm{1}\right) \\ $$$$\left({b}\right)\:\:\mathrm{0} \\ $$$$\left({c}\right)\:\:\mathrm{2}{f}\left(−\mathrm{1}\right) \\ $$$$\left({d}\right)\:\:\mathrm{4}{f}\left(\mathrm{1}\right)…

x-y-5-2x-y-1-

Question Number 12300 by nga last updated on 18/Apr/17 $$\begin{cases}{{x}+{y}=\mathrm{5}}\\{\mathrm{2}{x}−{y}=\mathrm{1}}\end{cases} \\ $$ Answered by ajfour last updated on 18/Apr/17 $$\mathrm{3}{x}=\mathrm{6} \\ $$$${x}=\mathrm{2} \\ $$$${y}=\mathrm{5}−{x}\:=\mathrm{5}−\mathrm{2}=\mathrm{3} \\…

Question-143368

Question Number 143368 by mr W last updated on 13/Jun/21 Commented by mr W last updated on 13/Jun/21 $${This}\:{is}\:{a}\:{solved}\:{old}\:{question}\: \\ $$$$\left({Q}\mathrm{142207}\right).\:{The}\:{answer}\:{is} \\ $$$${a}_{{n}} =\frac{\sqrt{\mathrm{2}}\left[\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)^{\mathrm{2}\left(\mathrm{2}{n}−\mathrm{1}\right)} +\mathrm{1}\right]}{\:\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)^{\mathrm{2}\left(\mathrm{2}{n}−\mathrm{1}\right)}…