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Author: Tinku Tara

A-can-terminate-a-work-9-hour-earlier-than-B-A-and-B-terminate-that-work-after-20-hour-together-A-can-terminate-that-work-after-hour-

Question Number 63812 by kaivan.ahmadi last updated on 09/Jul/19 $$ \\ $$$${A}\:\:{can}\:{terminate}\:{a}\:{work}\:\:\mathrm{9}\:{hour}\:{earlier} \\ $$$${than}\:{B}. \\ $$$${A}\:\:{and}\:\:{B}\:\:{terminate}\:{that}\:{work}\:\:{after}\:\mathrm{20}\:{hour}\:{together}. \\ $$$${A}\:{can}\:{terminate}\:{that}\:{work}\:{after}\:….\:{hour}. \\ $$$$ \\ $$$$ \\ $$ Commented…

If-x-and-y-satisfy-the-equation-x-2-2-y-2-3-what-is-the-maximum-value-of-y-x-

Question Number 129344 by bramlexs22 last updated on 15/Jan/21 $$\:\mathrm{If}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\:\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{3}\:,\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{maximum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{y}}{\mathrm{x}}\:? \\ $$ Answered by liberty last updated on 15/Jan/21…

f-x-1-f-x-1-x-2-f-1-x-

Question Number 129343 by Study last updated on 15/Jan/21 $${f}\left({x}+\mathrm{1}\right)={f}\left({x}−\mathrm{1}\right)={x}^{\mathrm{2}} \:\:\:\:\:\:\:\:{f}^{−\mathrm{1}} \left({x}\right)=?? \\ $$ Commented by bramlexs22 last updated on 15/Jan/21 $$\mathrm{f}\left(\mathrm{x}+\mathrm{1}\right)+\mathrm{f}\left(\mathrm{x}−\mathrm{1}\right)=\mathrm{x}^{\mathrm{2}} \:? \\ $$…

Question-63803

Question Number 63803 by aliesam last updated on 09/Jul/19 Commented by Prithwish sen last updated on 09/Jul/19 $$\left(\mathrm{x}+\mathrm{iy}\right)^{\mathrm{3}} \:=\:\frac{\left(\mathrm{1}+\sqrt{\mathrm{7}}\mathrm{i}\right)^{\mathrm{2}} }{\mathrm{1}−\sqrt{\mathrm{7}}\mathrm{i}}\:=\:\frac{\left(\mathrm{1}+\sqrt{\mathrm{7}}\mathrm{i}\right)^{\mathrm{3}} }{\mathrm{8}} \\ $$$$\:\therefore\:\mathrm{x}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{and}\:\mathrm{y}\:=\:\frac{\sqrt{\mathrm{7}}}{\mathrm{2}} \\ $$…

If-a-b-and-c-are-the-roots-of-x-3-21x-35-0-what-is-the-value-of-a-b-c-a-b-c-

Question Number 129336 by bramlexs22 last updated on 15/Jan/21 $$\mathrm{If}\:{a},{b}\:\mathrm{and}\:{c}\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\: \\ $$$${x}^{\mathrm{3}} −\mathrm{21}{x}−\mathrm{35}\:=\:\mathrm{0}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\:\left({a}−{b}\right)\left({c}−{a}\right)\left({b}−{c}\right)\:? \\ $$ Commented by MJS_new last updated on 22/Jan/21 $${x}^{\mathrm{3}}…

a-set-S-R-and-S-n-n-2-1-n-N-n-1-show-that-minS-1-2-and-supS-1-

Question Number 129337 by TITA last updated on 15/Jan/21 $$\mathrm{a}\:\mathrm{set}\:\mathrm{S}\subset\mathbb{R}\:\:\:\mathrm{and}\:\:\mathrm{S}=\left\{\frac{\mathrm{n}}{\:\sqrt{\mathrm{n}^{\mathrm{2}} +\mathrm{1}}}:\:\mathrm{n}\in\mathbb{N},\:\mathrm{n}\geqslant\mathrm{1}\right\} \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{minS}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\:\:\mathrm{and}\:\:\mathrm{supS}=\mathrm{1} \\ $$ Commented by TITA last updated on 15/Jan/21 $$\mathrm{please}\:\mathrm{help} \\ $$…

x-dy-dx-y-y-3-cos-x-

Question Number 129334 by bramlexs22 last updated on 15/Jan/21 $$\:\mathrm{x}\:\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\mathrm{y}\:+\:\mathrm{y}^{\mathrm{3}} \mathrm{cos}\:\mathrm{x}\: \\ $$ Answered by liberty last updated on 15/Jan/21 $$\:\mathrm{let}\:\mathrm{y}\:=\:\mathrm{w}^{−\frac{\mathrm{1}}{\mathrm{2}}} \:\rightarrow\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{w}^{−\mathrm{3}/\mathrm{2}} \:\frac{\mathrm{dw}}{\mathrm{dx}} \\ $$$$\:\Rightarrow−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{xw}^{−\mathrm{3}/\mathrm{2}}…

Question-63790

Question Number 63790 by rajesh4661kumar@gamil.com last updated on 09/Jul/19 Answered by Hope last updated on 10/Jul/19 $${a}+{b}=\mathrm{6}{k} \\ $$$${b}+{c}=\mathrm{7}{k} \\ $$$${c}+{a}=\mathrm{8}{k} \\ $$$${add}\:{them} \\ $$$$\mathrm{2}\left({a}+{b}+{c}\right)=\mathrm{21}{k}…