Question Number 102301 by john santu last updated on 08/Jul/20 $${to}\:{all}\:{friends}\:{in}\:{this}\:{forum}. \\ $$$${i}'{ll}\:{be}\:{off}\:{for}\:{a}\:{while}\:.\:{thank}\:{you} \\ $$$${for}\:{the}\:{discussion}\:{in}\:{this}\:{forum} \\ $$$$.\:{see}\:{you}\:{another}\:{time}.\:\left({JS}\:\circledast\right) \\ $$ Commented by Dwaipayan Shikari last updated…
Question Number 167828 by otchereabdullai@gmail.com last updated on 26/Mar/22 $$\:\mathrm{Houses}\:\mathrm{on}\:\mathrm{one}\:\mathrm{side}\:\mathrm{of}\:\mathrm{a}\:\mathrm{particular}\: \\ $$$$\:\mathrm{street}\:\mathrm{are}\:\mathrm{assigned}\:\mathrm{odd}\:\mathrm{numbers},\: \\ $$$$\:\mathrm{starting}\:\mathrm{from}\:\mathrm{11}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\:\mathrm{numbers}\:\mathrm{is}\:\mathrm{551},\:\mathrm{how}\:\mathrm{many}\:\mathrm{houses} \\ $$$$\:\mathrm{are}\:\mathrm{there}? \\ $$ Answered by mr W last…
Question Number 102292 by Boykisss last updated on 08/Jul/20 Answered by Rio Michael last updated on 09/Jul/20 $$\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}\:+\:{kx}}}\:=\:\left(\mathrm{1}−{x}\right)^{\frac{\mathrm{1}}{\mathrm{2}.}} \left(\mathrm{1}\:+\:{kx}\right)^{−\frac{\mathrm{1}}{\mathrm{2}}} \: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\left[\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\left(−{x}\right)+\:\frac{\frac{\mathrm{1}}{\mathrm{2}}\left(−\frac{\mathrm{1}}{\mathrm{2}}\right)}{\mathrm{2}!}\left(−{x}\right)^{\mathrm{2}} \:+\:…\right]\left[\mathrm{1}\:+\:\left(−\frac{\mathrm{1}}{\mathrm{2}}\right)\left({kx}\right)+\:\frac{−\frac{\mathrm{1}}{\mathrm{2}}\left(−\frac{\mathrm{3}}{\mathrm{2}}\right)}{\mathrm{2}}\left({kx}\right)^{\mathrm{2}} \right] \\…
Question Number 167820 by MWSuSon last updated on 26/Mar/22 $$\mathrm{given}\:\:\mathrm{x}^{\mathrm{2}} =\frac{\pi^{\mathrm{2}} }{\mathrm{3}}+\mathrm{4}\Sigma\left(−\mathrm{1}\right)^{\mathrm{n}} \frac{\mathrm{cos}\left(\mathrm{nx}\right)}{\mathrm{n}^{\mathrm{2}} },\:\mathrm{show}\:\mathrm{that}\:\Sigma\frac{\mathrm{1}}{\left(\mathrm{2n}−\mathrm{1}\right)^{\mathrm{2}} }=\frac{\pi^{\mathrm{2}} }{\mathrm{8}} \\ $$ Answered by Mathspace last updated on 26/Mar/22…
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Question Number 167795 by niverland last updated on 25/Mar/22 Commented by MJS_new last updated on 25/Mar/22 $$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{think}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{exists}.\:\mathrm{I}\:\mathrm{get} \\ $$$$\left(\mathrm{1}\right)\:\underset{{x}\rightarrow\mathrm{0}^{−} } {\mathrm{lim}}\:\left(…\right)\:=+\infty \\ $$$$\left(\mathrm{2}\right)\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\left(…\right)\:=−\infty…
Question Number 167787 by BagusSetyoWibowo last updated on 25/Mar/22 Answered by Jamshidbek last updated on 25/Mar/22 $$\pi \\ $$ Answered by Mathspace last updated on…
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Question Number 167782 by SANOGO last updated on 24/Mar/22 $${etudier}\:{l}'{existance}\:{de}\:{limite}\:{en}\:\left(\mathrm{0},\mathrm{0}\right) \\ $$$${f}\left({x},{y}\right)=\frac{{x}^{\mathrm{2}} {y}}{{x}+{y}} \\ $$ Answered by Mathspace last updated on 25/Mar/22 $${x}={rcos}\theta\:{and}\:{y}={rsin}\theta \\ $$$$\Rightarrow\frac{{x}^{\mathrm{2}}…
Question Number 102243 by mathocean1 last updated on 07/Jul/20 $${At}\:{examination},\:{a}\:{student}\:{most} \\ $$$${answer}\:{to}\:\mathrm{8}\:{question}\:{betwen}\:{a}\:{total} \\ $$$${of}\:\mathrm{10}\:{question}. \\ $$$$\left.\mathrm{1}\right)\:{How}\:{many}\:{many}\:{choices}\:{is}\: \\ $$$${possible}? \\ $$$$\left.\mathrm{2}\right){How}\:{many}\:{choices}\:{is}\:{possible}\:{if}\:{a} \\ $$$${student}\:{most}\:{answer}\:{to}\:\mathrm{3}\:{questions} \\ $$$${at}\:{least}? \\…