Question Number 92486 by Rohit@Thakur last updated on 07/May/20 $$\mathrm{The}\:\mathrm{smallest}\:\mathrm{interval}\:\left[{a},\:{b}\right]\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\underset{\:\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{4}} }}\:{dx}\:\in\:\left[{a},\:{b}\right]\:\:\mathrm{is}\:\mathrm{given}\:\mathrm{by} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26888 by Roshan last updated on 31/Dec/17 $$\mathrm{If}\:\alpha,\:\beta\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\:{ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0} \\ $$$$\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{quadratic}\:\mathrm{equation}\: \\ $$$$\mathrm{whose}\:\mathrm{roots}\:\mathrm{are}\:\alpha+\beta,\:\:\alpha\beta. \\ $$ Answered by Rasheed.Sindhi last updated on 31/Dec/17 $${ax}^{\mathrm{2}}…
Question Number 26851 by jain50791@gmail.com last updated on 30/Dec/17 $$\mathrm{Two}\:\mathrm{integers}\:{x}\:\mathrm{and}\:{y}\:\mathrm{are}\:\mathrm{chosen}\:\mathrm{with} \\ $$$$\mathrm{replacement}\:\mathrm{out}\:\mathrm{of}\:\mathrm{the}\:\mathrm{set}\:\left\{\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:\mathrm{3},…,\:\mathrm{10}\right\}. \\ $$$$\mathrm{Then}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mid{x}−{y}\mid>\mathrm{5}\:\mathrm{is} \\ $$ Commented by Rasheed.Sindhi last updated on 30/Dec/17 $$\mathrm{Let}\:\mathrm{x}>\mathrm{y} \\…
Question Number 26771 by julli deswal last updated on 29/Dec/17 $$\underset{\:\mathrm{0}} {\overset{\:\:\:\left[{x}\right]} {\int}}\frac{\mathrm{2}^{{x}} }{\mathrm{2}^{\left[{x}\right]} }\:{dx}\:= \\ $$ Commented by prakash jain last updated on 29/Dec/17…
Question Number 26769 by julli deswal last updated on 29/Dec/17 $$\underset{\:\mathrm{0}} {\overset{\infty} {\int}}\:\:\frac{{dx}}{\left[{x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\:\right]^{\mathrm{3}} }\:=\: \\ $$ Commented by prakash jain last updated on 29/Dec/17…
Question Number 26770 by julli deswal last updated on 29/Dec/17 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\frac{\left({n}\:!\right)^{\mathrm{1}/{n}} }{{n}}\:= \\ $$ Commented by abdo imad last updated on 29/Dec/17 $${n}!\sim\:{n}^{{n}} \:{e}^{−{n}}…
Question Number 26712 by julli deswal last updated on 28/Dec/17 $$\mathrm{If}\:\:\mid{x}\mid\:<\:\mathrm{1},\:\mathrm{then}\:\mathrm{the}\:\mathrm{coefficient}\:\mathrm{of}\:{x}^{{n}} \:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{expansion}\:\mathrm{of}\:\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} +{x}^{\mathrm{4}} +…\right)^{\mathrm{2}} \:\mathrm{is} \\ $$ Answered by mrW1 last updated…
Question Number 26703 by julli deswal last updated on 28/Dec/17 $$\mathrm{The}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{dissimilar}\:\mathrm{terms}\:\mathrm{in} \\ $$$$\mathrm{the}\:\mathrm{expansion}\:\mathrm{of}\:\left({x}_{\mathrm{1}} +{x}_{\mathrm{2}} +…+{x}_{{n}} \right)^{\mathrm{3}} \:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 26523 by nishant@123 last updated on 26/Dec/17 $$\mathrm{The}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{regular}\:\mathrm{polygon}\:\mathrm{of} \\ $$$${n}\:\mathrm{sides}\:\mathrm{is}\:\left(\mathrm{where}\:{R}\:\mathrm{is}\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\right. \\ $$$$\left.\mathrm{circumpolygon}\right), \\ $$ Commented by mrW1 last updated on 26/Dec/17 Terms of…
Question Number 26521 by Samar khan last updated on 26/Dec/17 $$\mathrm{If}\:\:\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }\:+\:…\mathrm{to}\:\infty\:=\:\frac{\pi^{\mathrm{2}} }{\mathrm{6}},\:\mathrm{then} \\ $$$$\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{5}^{\mathrm{2}} }\:+\:…\:\mathrm{equals} \\ $$ Commented by abdo…