Question Number 42718 by mondodotto@gmail.com last updated on 01/Sep/18 $$\mathrm{if}\:\mathrm{p}\left(\mathrm{A}\right)=\mathrm{0}.\mathrm{25}\:\mathrm{and}\:\mathrm{p}\left(\mathrm{B}\right)=\mathrm{0}.\mathrm{8} \\ $$$$\mathrm{then}\:\mathrm{show}\:\mathrm{that}\:\mathrm{0}.\mathrm{05}\leqslant\mathrm{p}\left(\mathrm{A}\cap\mathrm{B}\right)\leqslant\mathrm{0}.\mathrm{25} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 108240 by mathdave last updated on 15/Aug/20 Answered by john santu last updated on 15/Aug/20 $$\:\:\:\:\frac{\Box{JS}\bigtriangleup}{\bigstar} \\ $$$$\mathrm{2}^{{a}+\mathrm{4}} \:=\:\mathrm{6}\:\Rightarrow\mathrm{2}^{{a}+\mathrm{4}} \:=\:\mathrm{2}.\mathrm{3} \\ $$$$\Rightarrow\mathrm{2}^{{a}+\mathrm{3}} \:=\:\mathrm{3}\:…\left({i}\right)…
Question Number 108235 by mathdave last updated on 15/Aug/20 Answered by Dwaipayan Shikari last updated on 15/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{tan}^{−\mathrm{1}} \left({x}^{\mathrm{2}} +\mathrm{3}{x}\right)}{{sin}^{−\mathrm{1}} \mathrm{2}{x}}=\frac{{x}^{\mathrm{2}} +\mathrm{3}{x}}{\mathrm{2}{x}}=\frac{\mathrm{3}}{\mathrm{2}}\:\:\:\: \\ $$$${When}\:{x}\rightarrow\mathrm{0}…
Question Number 173765 by saly last updated on 17/Jul/22 Answered by cortano1 last updated on 18/Jul/22 $$\:{L}\:=\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\left(\frac{\mathrm{3}}{\mathrm{1}−\sqrt{{x}}}\:−\:\frac{\mathrm{2}}{\mathrm{1}−\sqrt[{\mathrm{3}}]{{x}}}\:\right)=? \\ $$$$\:\left[\:{let}\:{x}\:=\:{t}^{\mathrm{6}} \:\wedge\:{t}\rightarrow\mathrm{1}\:\right] \\ $$$$\:{L}=\:\underset{{t}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\left(\frac{\mathrm{3}}{\mathrm{1}−{t}^{\mathrm{3}} }\:−\:\frac{\mathrm{2}}{\mathrm{1}−{t}^{\mathrm{2}}…
Question Number 173767 by SANOGO last updated on 17/Jul/22 $${prouve}\:,{n}\epsilon{N} \\ $$$$\int_{{a}} ^{{a}} \left({t}−{a}\right)\left({t}−{b}\right)=\frac{\left({b}−{a}\right)^{{n}+\mathrm{2}} }{\left({n}+\mathrm{1}\right)\left({n}+\mathrm{2}\right)} \\ $$ Commented by JDamian last updated on 17/Jul/22 $$\int_{{a}}…
Question Number 108222 by ZiYangLee last updated on 15/Aug/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mathrm{tan6}°\mathrm{tan42}°\mathrm{tan66}°\mathrm{tan78}°\:\mathrm{without} \\ $$$$\mathrm{calculator}. \\ $$ Answered by Dwaipayan Shikari last updated on 15/Aug/20 $${sin}\mathrm{6}°{sin}\mathrm{42}°{sin}\mathrm{66}°{sin}\mathrm{78}°…
Question Number 42681 by jasno91 last updated on 31/Aug/18 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 173721 by KONE last updated on 16/Jul/22 Answered by mnjuly1970 last updated on 17/Jul/22 $$\:\:{e}^{\:\mathrm{ln}\left(\mathrm{lim}_{{n}\rightarrow\infty} \left(\underset{{k}=\mathrm{1}} {\overset{{n}} {\prod}}\sqrt[{{n}}]{{e}}\:\left(\frac{\mathrm{2}}{\pi}\:\right)^{\frac{\mathrm{1}}{{k}^{\:\mathrm{2}} }} \right)\:\right)} \\ $$$$\:\:\:\:\:\:=\:{e}^{\:\mathrm{lim}_{\:{n}\rightarrow\infty} \left(\underset{{k}=\mathrm{1}}…
Question Number 108181 by mr W last updated on 15/Aug/20 $${strange}\:{behavior}\:{in}\:{editor}: \\ $$$${when}\:{you}\:{have}\:{written}\:{for}\:{example} \\ $$$$\frac{\mathrm{12}}{\mathrm{13}}\:{and}\:{you}\:{want}\:{to}\:{delete}\:\mathrm{13}\:{and} \\ $$$${change}\:{to}\:\mathrm{24},\:{it}\:{is}\:{not}\:{possible}. \\ $$$${this}\:{occurs}\:{also}\:{in}\:{other}\:{cases}. \\ $$ Commented by mr W…
Question Number 108171 by ZiYangLee last updated on 15/Aug/20 $$\mathrm{If}\:{x},{y}\in\mathbb{R} \\ $$$${x}^{\mathrm{2}} −{xy}+\mathrm{4}=\mathrm{0} \\ $$$${ax}^{\mathrm{2}} +\left({b}+{y}^{\mathrm{2}} \right){x}+\mathrm{4}{a}=\mathrm{0} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{of}\:{a}^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{2}}{b}^{\mathrm{2}} \\ $$ Answered by mr…