Question Number 2196 by Rasheed Soomro last updated on 08/Nov/15 $$\left({a}+{b}\right)^{\mathrm{2}} ={a}^{\mathrm{2}} +{b}^{\mathrm{2}} +\mathrm{2}{ab} \\ $$$$\left({a}+{b}+{c}\right)^{\mathrm{2}} ={a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} +\mathrm{2}{ab}+\mathrm{2}{bc}+\mathrm{2}{ca} \\ $$$$\left({a}+{b}+{c}+{d}\right)^{\mathrm{2}} =? \\ $$$$\left({a}_{\mathrm{1}}…
Question Number 133264 by Dwaipayan Shikari last updated on 20/Feb/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{sinn}}{{n}^{\mathrm{3}} } \\ $$ Commented by Dwaipayan Shikari last updated on 20/Feb/21 $${I}\:{have}\:{found}\:\frac{\mathrm{1}}{\mathrm{12}}−\frac{\pi}{\mathrm{4}}+\frac{\pi^{\mathrm{2}}…
Question Number 67728 by TawaTawa last updated on 30/Aug/19 Commented by mr W last updated on 30/Aug/19 $${question}\:{is}\:{not}\:{clear}. \\ $$$${is}\:\angle{BAD}=\mathrm{90}°\:{as}\:{marked}\:{or}\:{is} \\ $$$$\angle{BAC}=\mathrm{90}°\:{as}\:{shown}? \\ $$ Commented…
Question Number 2191 by lakshaysethi039 last updated on 07/Nov/15 $${Find}\:{the}\:{number}\:{of}\:{quadratic}\:{equations}\:{having}\:{real}\:{roots} \\ $$$${and}\:{which}\:{do}\:{not}\:{change}\:{by}\:{squaring}\:{their}\:{roots}. \\ $$$$ \\ $$ Answered by prakash jain last updated on 07/Nov/15 $$\mathrm{Eq}:\:{ax}^{\mathrm{2}}…
Question Number 2187 by 123456 last updated on 07/Nov/15 $${f}:\mathbb{N}\rightarrow\mathbb{N} \\ $$$${f}\left({n}+{m}\right)={f}\left({n}\right)+\alpha{m} \\ $$$${f}\left(\mathrm{0}\right)={k} \\ $$$${f}\left({n}\right)=? \\ $$ Answered by prakash jain last updated on…
Question Number 2186 by Yozzi last updated on 07/Nov/15 $${Let}\:{J}=\int_{\mathrm{0}} ^{\infty} {f}\left(\left({x}−{x}^{−\mathrm{1}} \right)^{\mathrm{2}} \right){dx}\:{where}\:{f}\:{is} \\ $$$${any}\:{function}\:{for}\:{which}\:{the}\:{integral} \\ $$$${exists}.\:{Show}\:{that} \\ $$$${J}=\int_{\mathrm{0}} ^{\infty} {x}^{−\mathrm{2}} {f}\left(\left({x}−{x}^{−\mathrm{1}} \right)^{\mathrm{2}} \right){dx}=\mathrm{0}.\mathrm{5}\int_{\mathrm{0}}…
Question Number 67719 by aliesam last updated on 30/Aug/19 Answered by mind is power last updated on 30/Aug/19 $$\Leftrightarrow\frac{{d}\left({y}+{x}\right)}{{dx}}+{x}\left({x}+{y}\right)={x}^{\mathrm{3}} \left({x}+{y}\right)^{\mathrm{5}} \\ $$$${let}\:{z}={y}+{x} \\ $$$$\Rightarrow\frac{{dz}}{{dx}}+{xz}={x}^{\mathrm{3}} {z}^{\mathrm{5}}…
Question Number 67716 by TawaTawa last updated on 30/Aug/19 Answered by mind is power last updated on 30/Aug/19 $${let}\:{c}_{\mathrm{1}} ={demi}\:{circle}\:{of}\:{r}=\mathrm{2} \\ $$$${c}\mathrm{2}={circle}\:{r}=\mathrm{1} \\ $$$${c}_{\mathrm{1}} ..{x}^{\mathrm{2}}…
Question Number 2181 by Filup last updated on 07/Nov/15 $$\mathrm{How}\:\mathrm{do}\:\mathrm{you}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{following}\:\mathrm{series}? \\ $$$$\underset{{i}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{i}} \frac{\mathrm{1}}{\mathrm{2}\left({i}+\mathrm{1}\right)} \\ $$ Answered by prakash jain last updated on 08/Nov/15…
Question Number 133248 by aurpeyz last updated on 20/Feb/21 $${can}\:{i}\:{think}\:{of}\:{a}\:{clear}\:{image}\:{as}\:{the} \\ $$$${same}\:{with}\:{a}\:{real}\:{image}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com