Question Number 135634 by oustmuchiya@gmail.com last updated on 14/Mar/21 Answered by physicstutes last updated on 14/Mar/21 $$\left({i}\right)\:{n}\left({B}\right)\:=\:\mathrm{8}\:+\:\mathrm{5}\:+\:{x}−\mathrm{4}\:=\:\mathrm{11}\:+\:{x} \\ $$$$\:{n}\left(\:{B}\cup{C}\right)\:=\:\mathrm{8}+\:{x}−\mathrm{4}\:+\:\mathrm{5}\:+\:\mathrm{2}{y}\:=\:\mathrm{9}\:+\:{x}\:+\:\mathrm{2}{y} \\ $$$$\Rightarrow\:\:\mathrm{11}\:+\:{x}\:=\:\mathrm{9}\:+{x}\:+\:\mathrm{2}{y}\:\:\Rightarrow\:\:\:\mathrm{2}\:=\:\mathrm{2}{y}\:\Rightarrow\:{y}\:=\:\mathrm{1} \\ $$$$\left({ii}\right)\:{n}\left({C}\right)\:=\:\mathrm{5}\:+\:\mathrm{2}{y}\: \\ $$$$\mathrm{and}\:{n}\left({A}\right)\:=\:\mathrm{15}…
Question Number 135629 by Ñï= last updated on 14/Mar/21 $$\underset{{xlnx}\rightarrow\mathrm{1}} {\mathrm{lim}}\left(\frac{{xlnlnx}+\mathrm{1}}{{x}−{e}^{\frac{\mathrm{1}}{{x}}} }−{x}\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 4559 by love math last updated on 07/Feb/16 $$\left(\mathrm{0};\left(\mathrm{4}\right)\right)^{{x}^{\mathrm{2}} −\mathrm{1}} >\left(\mathrm{0},\left(\mathrm{6}\right)\right)^{{x}^{\mathrm{2}} +\mathrm{6}} \\ $$ Commented by Yozzii last updated on 07/Feb/16 $${What}\:{is}\:\left(\mathrm{0},\left(\mathrm{6}\right)\right)\:{and}\:\left(\mathrm{0};\left(\mathrm{4}\right)\right)? \\…
Question Number 135630 by rexford last updated on 14/Mar/21 Answered by mr W last updated on 14/Mar/21 Commented by mr W last updated on 14/Mar/21…
Question Number 4556 by FilupSmith last updated on 07/Feb/16 $$\mathrm{Prove}\:{i}^{{i}} ={e}^{−\pi/\mathrm{2}} ,\:\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$ Answered by Yozzii last updated on 07/Feb/16 $${i}=\mathrm{0}+{i}×\mathrm{1}={cos}\mathrm{0}.\mathrm{5}\pi+{isin}\mathrm{0}.\mathrm{5}={e}^{\mathrm{0}.\mathrm{5}\pi{i}} \\ $$$$\therefore{i}^{{i}}…
Question Number 4555 by FilupSmith last updated on 07/Feb/16 $${y}={x}^{{i}} \\ $$$${x}\in\mathbb{R} \\ $$$${i}^{\mathrm{2}} =−\mathrm{1} \\ $$$$ \\ $$$$\mathrm{is}\:{y}\in\mathbb{C}? \\ $$ Commented by Yozzii last…
Question Number 135624 by liberty last updated on 14/Mar/21 $$ \\ $$A polynomial p(x) leaves a remainder of -1 when divided by x – 1,…
Question Number 135627 by mnjuly1970 last updated on 14/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:……………..\:{calculus}\:… \\ $$$$\:\:\:\:\:\:\:{evaluation}:::::\:\:\:\boldsymbol{\phi}\overset{???} {=}\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {sin}\left({x}\right){ln}\left({sin}\left({x}\right)\right){dx} \\ $$$$\:\:\:\:\:\:\:{solution}::::: \\ $$$$\:\:\:\:\:\:\boldsymbol{\phi}\overset{\langle{cos}\left({x}\right)={y}\rangle} {=}\:\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}} ^{\:\mathrm{1}} {ln}\left(\mathrm{1}−{y}^{\mathrm{2}} \right){dy} \\ $$$$\:\:\:\:\:\:\:\:\:\:=−\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}}…
Question Number 4548 by Yozzii last updated on 07/Feb/16 Commented by Yozzii last updated on 07/Feb/16 $${In}\:{the}\:{diagram}\:{is}\:{a}\:{parallelogram}\:{ABCD} \\ $$$${with}\:{diagonal}\:{CB}. \\ $$$${E}\:{and}\:{F}\:{are}\:{the}\:{midpoints}\:{of}\:{CD}\:{and} \\ $$$${BD}\:{respectively}.\:{Using}\:{vectors},\:{prove} \\ $$$${that}\:{AE}\:{and}\:{AF}\:{trisect}\:{CB}.…
Question Number 135619 by liberty last updated on 14/Mar/21 $${Polynomial} \\ $$Given the polynomial P(x) = x^6 – 8x^4 + x^3 – 10x^2 – 12…