Menu Close

Category: None

Question-98087

Question Number 98087 by Algoritm last updated on 11/Jun/20 Answered by mr W last updated on 11/Jun/20 $${a}_{{k}} =\frac{\mathrm{1}}{\left({k}+\mathrm{2}\right)^{\mathrm{2}} +{k}}=\frac{\mathrm{1}}{\left({k}+\mathrm{1}\right)\left({k}+\mathrm{4}\right)}=\frac{\mathrm{1}}{\mathrm{3}}\left(\frac{\mathrm{1}}{{k}+\mathrm{1}}−\frac{\mathrm{1}}{{k}+\mathrm{4}}\right) \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{a}_{{k}} =\frac{\mathrm{1}}{\mathrm{3}}\left(\underset{{k}=\mathrm{1}}…

Question-163611

Question Number 163611 by Ramjiane last updated on 08/Jan/22 Answered by ajfour last updated on 08/Jan/22 $$\left(\mathrm{1}\right)\:\:{d}=\frac{{h}}{\mathrm{cot}\:\mathrm{25}°−\mathrm{cot}\:\mathrm{50}°} \\ $$$$\left(\mathrm{2}\right)\:{You}\:{jus}\:{cant}\:{do}\:{without}. \\ $$ Terms of Service Privacy…

Question-32534

Question Number 32534 by naka3546 last updated on 27/Mar/18 Answered by MJS last updated on 27/Mar/18 $${m}+\sqrt{{n}}={k} \\ $$$${f}\left({x}\right)={k} \\ $$$${x}^{\mathrm{2}} +{x}−{k}=\mathrm{0} \\ $$$${x}=−\frac{\mathrm{1}}{\mathrm{2}}\pm\frac{\mathrm{1}}{\mathrm{2}}\sqrt{\mathrm{4}{k}+\mathrm{1}} \\…

Question-32510

Question Number 32510 by mondodotto@gmail.com last updated on 26/Mar/18 Commented by abdo imad last updated on 26/Mar/18 $${we}\:{have}\:{y}\:=\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\sqrt{{x}}\:\:}}\:\:\Rightarrow{y}^{\mathrm{2}} \:−\mathrm{1}\:=\left(\mathrm{1}+\sqrt{{x}}\:\right)^{\frac{\mathrm{1}}{\mathrm{2}}} \\ $$$$\Rightarrow\mathrm{2}{y}\:{y}^{,} \:=\frac{\mathrm{1}}{\mathrm{2}}\left(\:\frac{\mathrm{1}}{\mathrm{2}\sqrt{{x}}}\right)^{−\frac{\mathrm{1}}{\mathrm{2}}} \:=\:\:\frac{\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{2}\:}\sqrt{\sqrt{{x}}}}\:\:\Rightarrow \\ $$$${y}^{'}…