Question Number 6157 by Rasheed Soomro last updated on 16/Jun/16 Answered by Yozzii last updated on 16/Jun/16 $$\mid{BC}\mid=\mid{CD}\mid=\mid{DA}\mid=\mid{AB}\mid={x}\:{units}>\mathrm{0} \\ $$$${Form}\:{the}\:{triangle}\:\bigtriangleup{GBH}\:{where}\:\angle{GBH}=\mathrm{90}° \\ $$$${and}\angle{GHB}=\theta\:\left(\mathrm{0}<\theta<\mathrm{90}°\right).\:{Let}\:\mid{GH}\mid={r}>\mathrm{0}.\:{Since} \\ $$$${H}\:{is}\:{the}\:{centre}\:{of}\:{arc}\:{GE},\:{then}\:\mid{EH}\mid=\mid{GH}\mid={r}. \\…
Question Number 71680 by TawaTawa last updated on 18/Oct/19 Answered by mind is power last updated on 18/Oct/19 $$\mathrm{the}\:\mathrm{bige}\:\mathrm{one}\:\mathrm{is}\:\mathrm{small}\ast\mathrm{k} \\ $$$$\Rightarrow\mathrm{k}^{\mathrm{2}} =\frac{\mathrm{36}}{\mathrm{16}}=\Rightarrow\mathrm{k}=\frac{\mathrm{6}}{\mathrm{4}} \\ $$$$\mathrm{diametre}\:=\frac{\mathrm{4}}{\mathrm{6}}.\mathrm{39}=\mathrm{2}.\mathrm{13}=\mathrm{26} \\…
Question Number 71673 by TawaTawa last updated on 18/Oct/19 Commented by TawaTawa last updated on 18/Oct/19 $$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$ Answered by mind is power last…
Question Number 6132 by sanusihammed last updated on 15/Jun/16 $${Evaluate}\:{the}\:{integral}\:{of}\:… \\ $$$$ \\ $$$$\left[\left({x}−\frac{{x}^{\mathrm{3}} }{\mathrm{2}}+\frac{{x}^{\mathrm{5}} }{\mathrm{2}.\mathrm{4}}−\frac{{x}^{\mathrm{7}} }{\mathrm{2}.\mathrm{4}.\mathrm{6}}+….\right)\left(\mathrm{1}−\frac{{x}^{\mathrm{2}} }{\mathrm{2}^{\mathrm{2}} }+\frac{{x}^{\mathrm{4}} }{\mathrm{2}^{\mathrm{2}} .\mathrm{4}^{\mathrm{2}} }−\frac{{x}^{\mathrm{6}} }{\mathrm{2}^{\mathrm{2}} .\mathrm{4}^{\mathrm{2}} .\mathrm{6}^{\mathrm{2}}…
Question Number 71645 by ajfour last updated on 18/Oct/19 Commented by ajfour last updated on 18/Oct/19 $${If}\:{the}\:{three}\:{inner}\:{solid}\:{spheres} \\ $$$${have}\:{radii}\:{p},{q},{r}\:{and}\:{the}\:{same}\: \\ $$$${density}\:\rho,\:{while}\:{the}\:{outer}\:{sphere} \\ $$$${has}\:{radius}\:{R},\:{and}\:{negligible} \\ $$$${mass},\:{find}\:{how}\:{high}\:{from}\:{ground}…
Question Number 6081 by LMTV last updated on 12/Jun/16 $$\int{e}^{−{st}} \frac{{t}^{{n}} }{{n}!}{dt}=? \\ $$ Commented by Yozzii last updated on 12/Jun/16 $${Let}\:{I}\left({n}\right)=\frac{\mathrm{1}}{{n}!}\int{e}^{−{st}} {t}^{{n}} {dt}\:\:\left({n}\geqslant\mathrm{0}\right). \\…
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Question Number 71593 by TawaTawa last updated on 17/Oct/19 Answered by mr W last updated on 17/Oct/19 Commented by mr W last updated on 17/Oct/19…
Question Number 6054 by Rasheed Soomro last updated on 11/Jun/16 $$\mathcal{D}{etermine}\:{distance}\:{between} \\ $$$${opposite}\:{corners}\:\:{of}\:{a}\:{cubic} \\ $$$${room}\:{of}\:{dimention}\:{x}\:{units}. \\ $$$$ \\ $$ Commented by Yozzii last updated on…
Question Number 6056 by Rasheed Soomro last updated on 11/Jun/16 Commented by Rasheed Soomro last updated on 11/Jun/16 $$\boldsymbol{\mathrm{I}}\:\:{and}\:\boldsymbol{\mathrm{H}}\:{are}\:{mid}-{points}\:{of}\:{line}\:{segments}. \\ $$$$\boldsymbol{\mathrm{E}}\:\:{is}\:{the}\:{centre}\:{of}\:{the}\:{square}. \\ $$$${center}\:{of}\:{both}\:{arcs}\:{is}\:\boldsymbol{\mathrm{B}}. \\ $$…