Question Number 2334 by Syaka last updated on 16/Nov/15 $$\int\frac{{dx}}{\left({x}^{\mathrm{2}} \:+\:\mathrm{3}{x}\:+\:\mathrm{9}\right)\sqrt{{x}^{\mathrm{2}} \:+\:\mathrm{5}{x}\:+\:\mathrm{7}}\:}\:\:=\:? \\ $$ Commented by prakash jain last updated on 16/Nov/15 $${x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{7}=\left({x}+\frac{\mathrm{5}}{\mathrm{2}}\right)^{\mathrm{2}} +\frac{\mathrm{3}}{\mathrm{4}}…
Question Number 133400 by Engr_Jidda last updated on 21/Feb/21 $${fine}\:{the}\:{solution}\:{of}\:{the}\:{differential} \\ $$$${equation}\:{y}^{\mathrm{2}} +\mathrm{9}{y}=\mathrm{9}{sec}^{\mathrm{2}} \mathrm{3}{x},\:\mathrm{0}<{x}<\frac{\pi}{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 133403 by Engr_Jidda last updated on 21/Feb/21 $${verify}\:{that}\:\varrho^{{x}} \:{and}\:{x}\:{are}\:{the}\:{solution} \\ $$$${of}\:{the}\:{homogeneous}\:{equation}\:{corresponding} \\ $$$${to}\:\left(\mathrm{1}−{x}\right){y}^{\mathrm{2}} +{xy}^{\mathrm{1}} −{y}=\mathrm{2}\left({x}−\mathrm{1}\right)^{\mathrm{2}} \varrho^{{x}\:} ,\:\mathrm{0}<{x}<\mathrm{1} \\ $$$${and}\:{find}\:{the}\:{general}\:{solution}. \\ $$ Terms of…
Question Number 2329 by 123456 last updated on 16/Nov/15 $${a}_{{n}} =\left(−\mathrm{1}\right)^{{n}} \left(\lfloor\frac{{n}}{\mathrm{9}}\rfloor+\mathrm{1}\right) \\ $$$$\underset{{n}\geqslant\mathrm{0}} {\sum}{a}_{{n}} =? \\ $$$${b}_{{n}} =\frac{\left({a}_{{n}} −\mathrm{1}\right)\left(\mathrm{9}−{a}_{{n}} \right)}{{n}+\mathrm{1}} \\ $$$$\underset{{n}\geqslant\mathrm{0}} {\sum}{b}_{{n}} =?…
Question Number 2326 by Filup last updated on 16/Nov/15 $$\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}×\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}+\sqrt{\mathrm{2}}}}×\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}}}}}×…=? \\ $$ Commented by Rasheed Soomro last updated on 16/Nov/15 $$\mathcal{N}{ice}\:\mathcal{A}{pproach}! \\ $$ Commented by…
Question Number 67860 by TawaTawa last updated on 01/Sep/19 Commented by TawaTawa last updated on 01/Sep/19 $$\mathrm{Find}\:\mathrm{angle}\:\:\mathrm{a} \\ $$ Commented by mr W last updated…
Question Number 133398 by rexford last updated on 21/Feb/21 Answered by EDWIN88 last updated on 22/Feb/21 $$\overset{\rightarrow} {{a}}.\overset{\rightarrow} {{b}}+\overset{\rightarrow} {{b}}.\overset{\rightarrow} {{c}}=\left(\overset{\rightarrow} {{a}}+\overset{\rightarrow} {{c}}\right).\overset{\rightarrow} {{b}}=−\overset{\rightarrow} {{b}}.\overset{\rightarrow}…
Question Number 133392 by rexford last updated on 21/Feb/21 Commented by EDWIN88 last updated on 22/Feb/21 $$\mathrm{qn}\:\mathrm{133398} \\ $$$$ \\ $$ Terms of Service Privacy…
Question Number 2322 by prakash jain last updated on 15/Nov/15 $${a}_{\mathrm{0}} ={x} \\ $$$${a}_{{n}+\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{1}+{a}_{{n}} } \\ $$$$\mathrm{Find}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{for}\:{x}\:\mathrm{such}\:\mathrm{that} \\ $$$${a}_{{n}} =−\mathrm{1}\:\mathrm{for}\:\mathrm{some}\:{n}\in\mathbb{N}. \\ $$$$\mathrm{For}\:\mathrm{example}:\: \\ $$$${x}=−\mathrm{2},\:{a}_{\mathrm{1}}…
Question Number 133394 by Dwaipayan Shikari last updated on 21/Feb/21 Commented by Dwaipayan Shikari last updated on 21/Feb/21 $${Three}\:{indentical}\:{point}\:{charges}\:,\:{each}\:{of}\:{mass}\:\boldsymbol{{m}}\:{and}\:{charge} \\ $$$$\boldsymbol{{Q}}\:,{hanging}\:{from}\:{three}\:{strings}\:.{Find}\:{the}\:{value}\:{of}\:\boldsymbol{{Q}}\:{in}\:{terms} \\ $$$${of}\:\boldsymbol{{m}},\boldsymbol{{L}}\:{and}\:\boldsymbol{\theta}\:\left({They}\:{are}\:{in}\:{equilibrium}\right) \\ $$…