Question Number 855 by 112358 last updated on 26/Mar/15 $${Find}\:{the}\:{number}\:{of}\:{terms}\:{in} \\ $$$$\left(\mathrm{1}+{x}\right)^{\mathrm{101}} \left(\mathrm{1}+{x}^{\mathrm{2}} −{x}\right)^{\mathrm{100}} . \\ $$ Answered by prakash jain last updated on 26/Mar/15…
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Question Number 66379 by Sandy Suhendra last updated on 13/Aug/19 Commented by kaivan.ahmadi last updated on 13/Aug/19 $$={lim}_{{x}\rightarrow\frac{\pi}{\mathrm{2}}} \:\frac{\mathrm{3}{cosx}+\mathrm{5}{cos}\mathrm{3}{x}}{{cot}\mathrm{5}{x}}\:\overset{{hop}} {=} \\ $$$${lim}_{{x}\rightarrow\frac{.\pi}{\mathrm{2}}} \:\:\frac{−\mathrm{3}{sinx}−\mathrm{15}{sin}\mathrm{3}{x}}{−\mathrm{5}\left(\mathrm{1}+{cot}^{\mathrm{2}} \mathrm{5}{x}\right)}=\frac{−\mathrm{3}+\mathrm{15}}{−\mathrm{5}}=−\frac{\mathrm{12}}{\mathrm{5}} \\…
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Question Number 131893 by SOMEDAVONG last updated on 09/Feb/21 $$\begin{cases}{\mathrm{x}+\mathrm{y}=\sqrt[{\mathrm{3}}]{\mathrm{a}+\mathrm{b}}}\\{\mathrm{x}^{\mathrm{4}} −\mathrm{y}^{\mathrm{4}} =\mathrm{ax}−\mathrm{by}}\end{cases} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 823 by 112358 last updated on 18/Mar/15 $${Solve}\:{the}\:{following}\:{d}.{e}\:{by}\:{using} \\ $$$${v}=\frac{{dy}}{{dx}},\:{where}\:{v}\:{is}\:{a}\:{function}\:{of}\:{x}. \\ $$$${x}^{\mathrm{2}} \frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }−\mathrm{2}\frac{{dy}}{{dx}}+{x}=\mathrm{0} \\ $$ Answered by 123456 last updated on…
Question Number 131885 by Study last updated on 09/Feb/21 $${lim}_{{n}\rightarrow−\infty} \frac{\mathrm{2}^{{n}} +\mathrm{4}^{{n}−\mathrm{3}} }{\mathrm{2}^{{n}−\mathrm{3}} +\mathrm{4}{n}}=? \\ $$ Commented by malwan last updated on 09/Feb/21 $$\underset{{n}\rightarrow−\infty} {{lim}}\:\frac{\mathrm{2}^{{n}}…
Question Number 131884 by Study last updated on 09/Feb/21 $${log}_{\mathrm{2}} {x}+{log}_{\mathrm{3}} {x}=\mathrm{1}\:\:\:\:\:\:\:{x}=? \\ $$ Answered by EDWIN88 last updated on 09/Feb/21 $$\:\frac{\mathrm{ln}\:\mathrm{x}}{\mathrm{ln}\:\mathrm{2}}\:+\:\frac{\mathrm{ln}\:\mathrm{x}}{\mathrm{ln}\:\mathrm{3}}\:=\:\mathrm{1}\: \\ $$$$\:\mathrm{ln}\:\mathrm{x}\:\left(\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{3}}\right)=\mathrm{1} \\…
Question Number 131880 by Algoritm last updated on 09/Feb/21 Answered by SEKRET last updated on 09/Feb/21 $$\:\boldsymbol{\mathrm{x}}=\frac{\mathrm{5}}{\mathrm{2}} \\ $$ Commented by Algoritm last updated on…
Question Number 131876 by I want to learn more last updated on 09/Feb/21 Answered by EDWIN88 last updated on 09/Feb/21 $$\left(\mathrm{i}\right)\:\mathrm{C}_{\mathrm{8}} ^{\mathrm{10}} \:=\:\frac{\mathrm{10}×\mathrm{9}}{\mathrm{2}×\mathrm{1}}=\mathrm{45}\: \\ $$…