Question Number 141872 by mohammad17 last updated on 24/May/21 Commented by mohammad17 last updated on 24/May/21 $${help}\:{me}\:{sir}\:{please} \\ $$ Commented by mohammad17 last updated on…
Question Number 141868 by mnjuly1970 last updated on 24/May/21 $$\:\:\:\:\:\:\:\:\:\:\:\:……\mathscr{A}{dvanced}\:\:…..\mathscr{C}{alculus}…….. \\ $$$$\:\:\:\:\:\:\:\:\:…..\:\:\int_{\:\mathbb{R}} ^{\:} \frac{{e}^{−{x}^{\mathrm{2}} } }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\:{dx}=? \\ $$$$\:\:\:\:\: \\ $$ Commented by mindispower…
Question Number 10795 by j.masanja06@gmail.com last updated on 25/Feb/17 $$\mathrm{by}\:\mathrm{use}\:\mathrm{sketching}\:\mathrm{determine}\:\mathrm{the}\:\mathrm{range} \\ $$$$\mathrm{or}\left(\mathrm{ranges}\right)\:\mathrm{of}\:\mathrm{the}\:\mathrm{value}\:\mathrm{x}\:\mathrm{can}\:\mathrm{take}\:\mathrm{for} \\ $$$$\mathrm{each}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{inqualities} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{3x}^{\mathrm{2}} −\mathrm{19x}−\mathrm{6}\leqslant\mathrm{0} \\ $$$$\left(\mathrm{ii}\right)\mathrm{2x}^{\mathrm{2}} −\mathrm{5x}−\mathrm{3}\geqslant\mathrm{0} \\ $$ Commented by sandy_suhendra…
Question Number 10794 by j.masanja06@gmail.com last updated on 25/Feb/17 $$\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{or}\left(\mathrm{ranges}\right)\:\mathrm{of}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{x}\:\mathrm{can}\:\mathrm{take}\:\mathrm{for}\:\mathrm{x}+\mathrm{6}>\mid\mathrm{2x}+\mathrm{3}\mid \\ $$ Commented by sandy_suhendra last updated on 25/Feb/17 $$\mathrm{this}\:\mathrm{question}\:\mathrm{has}\:\mathrm{been}\:\mathrm{answered}\:\mathrm{by}\:\mathrm{mrW1} \\ $$$$\mathrm{and}\:\mathrm{lee}\:\left(\mathrm{look}\:\mathrm{for}\:\mathrm{question}\:\mathrm{no}\:\mathrm{10777}\right) \\…
Question Number 76328 by arkanmath7@gmail.com last updated on 26/Dec/19 Commented by arkanmath7@gmail.com last updated on 26/Dec/19 $${sol}.\:{plz} \\ $$ Commented by kaivan.ahmadi last updated on…
Question Number 10793 by j.masanja06@gmail.com last updated on 25/Feb/17 $$\mathrm{let}\:\:\mathrm{A}\:=\begin{vmatrix}{\mathrm{4}}&{\mathrm{4k}}&{\mathrm{k}}\\{\mathrm{0}}&{\mathrm{k}}&{\mathrm{4k}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{4}}\end{vmatrix}\:\mathrm{if}\:\mathrm{det}\left(\mathrm{A}^{\mathrm{2}} \right)=\mathrm{16} \\ $$$$\mathrm{then}\:\mid\mathrm{k}\mid\:\mathrm{is}? \\ $$ Answered by sandy_suhendra last updated on 25/Feb/17 $$\mathrm{det}\:\mathrm{A}=\mathrm{16k}+\mathrm{0}+\mathrm{0}−\left(\mathrm{0}+\mathrm{0}+\mathrm{0}\right)=\mathrm{16k} \\ $$$$\mathrm{det}\left(\mathrm{A}^{\mathrm{2}}…
Question Number 76326 by Master last updated on 26/Dec/19 Answered by benjo last updated on 26/Dec/19 $$\mathrm{using}\:\mathrm{determinan}\:\mathrm{Vandermon}\:\mathrm{de}\:\mathrm{method}\: \\ $$ Commented by Master last updated on…
Question Number 10790 by Nur450737 last updated on 25/Feb/17 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \sqrt{\mathrm{sin}\:{x}}\:{dx} \\ $$ Answered by bahmanfeshki last updated on 26/Feb/17 $$\sqrt{\mathrm{sin}\:{x}}={t} \\ $$$${t}^{\mathrm{2}} =\mathrm{sin}\:{x}\Rightarrow\mathrm{cos}\:{x}=\sqrt{\mathrm{1}−{t}^{\mathrm{2}}…
Question Number 10789 by niraj last updated on 25/Feb/17 $$\left(\mathrm{2}+\mathrm{3}{i}\right){x}^{\mathrm{2}} −\left(\mathrm{3}−\mathrm{2}{i}\right){y}=\mathrm{2}{x}−\mathrm{3}{y}+\mathrm{5}{i} \\ $$ Answered by sandy_suhendra last updated on 25/Feb/17 $$\left(\mathrm{2}+\mathrm{3i}\right)\mathrm{x}^{\mathrm{2}} −\mathrm{3y}+\mathrm{2iy}=\mathrm{2x}−\mathrm{3y}+\mathrm{5i} \\ $$$$\Rightarrow\:\left(\mathrm{2}+\mathrm{3i}\right)\mathrm{x}^{\mathrm{2}} =\mathrm{2x}…
Question Number 10788 by okhema last updated on 25/Feb/17 $${factorise}\:{the}\:{expression}\:{sin}\mathrm{4}{x}−{sinx} \\ $$ Answered by argemiroQR last updated on 26/Feb/17 $${sin}\left(\mathrm{3}{x}+{x}\right)−{sinx}= \\ $$$${sin}\mathrm{3}{xcosx}+{cos}\mathrm{3}{xsinx}−{sinx}= \\ $$$${cosx}\left(\mathrm{3}{sinx}−\mathrm{4}{sin}^{\mathrm{3}} {x}\right)+\left({cos}^{\mathrm{3}}…