Question Number 64153 by meme last updated on 14/Jul/19 $${solve}\:{to}\:{z}^{\mathrm{2}} \:\:\:{x}^{\mathrm{2}} −{y}^{\mathrm{2}} =\mathrm{24} \\ $$ Answered by mr W last updated on 15/Jul/19 $$\left({x}−{y}\right)\left({x}+{y}\right)=\mathrm{24}={a}×{b}=\mathrm{1}×\mathrm{24}=\mathrm{2}×\mathrm{12}=\mathrm{3}×\mathrm{8}=\mathrm{4}×\mathrm{6} \\…
Question Number 129687 by ajfour last updated on 17/Jan/21 $$\:\:\:\:{x}^{\mathrm{3}} −{x}−{c}=\mathrm{0} \\ $$$$\left({solve}\:{for}\:{x}\:\:{even}\:{if}\:\:\:\mathrm{0}<{c}<\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}\right) \\ $$ Answered by ajfour last updated on 18/Jan/21 $${Just}\:{now}\:{I}\:{developed}\:{a}\:{new} \\ $$$${approximate}\:{formula}:…
Question Number 64150 by mathmax by abdo last updated on 14/Jul/19 $${calculate}\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{2}\right)\left({x}^{\mathrm{2}} +\mathrm{3}\right)} \\ $$ Commented by mathmax by abdo last…
Question Number 129684 by mnjuly1970 last updated on 17/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{advanced}\:\:{calculus}… \\ $$$$\:\:{prove}\:\:{that}: \\ $$$$\:\:\int_{\mathrm{0}} ^{\:\pi} {cos}\left({tan}\left({x}\right)−{cot}\left({x}\right)\right){dx}=\frac{\pi}{{e}^{\mathrm{2}} } \\ $$$$ \\ $$ Answered by mindispower last…
Question Number 64147 by aliesam last updated on 14/Jul/19 Answered by ajfour last updated on 14/Jul/19 $$=\mathrm{sin}\:{y}−\mathrm{cos}\:{y}+{c} \\ $$ Answered by som(math1967) last updated on…
Question Number 129683 by Adel last updated on 17/Jan/21 Commented by Adel last updated on 17/Jan/21 $$ \\ $$When we use antigral in the limit…
Question Number 129679 by BHOOPENDRA last updated on 17/Jan/21 Answered by mathmax by abdo last updated on 18/Jan/21 $$\mathrm{I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{x}\sqrt{\mathrm{tanx}}\mathrm{dx}\:\:\mathrm{changement}\:\sqrt{\mathrm{tanx}}=\mathrm{t}\:\mathrm{give}\:\mathrm{tanx}=\mathrm{t}^{\mathrm{2}} \:\Rightarrow\mathrm{x}=\mathrm{arctan}\left(\mathrm{t}^{\mathrm{2}} \right)\:\Rightarrow \\ $$$$\mathrm{I}=\int_{\mathrm{0}}…
Question Number 129677 by Adel last updated on 17/Jan/21 Commented by som(math1967) last updated on 17/Jan/21 $$\mathrm{3}^{\frac{\mathrm{1}}{{cscx}}×\frac{\mathrm{1}}{{sinx}}×\frac{\mathrm{1}}{{tanx}}×\frac{\mathrm{1}}{{cotx}}} =\mathrm{3}^{\mathrm{1}} =\mathrm{3} \\ $$ Commented by Adel last…
Question Number 129674 by help last updated on 17/Jan/21 Commented by help last updated on 17/Jan/21 $$\mathrm{10}{b}? \\ $$ Answered by bemath last updated on…
Question Number 64138 by Tawa1 last updated on 14/Jul/19 Answered by som(math1967) last updated on 14/Jul/19 $$\bigtriangleup{ADC}\sim\bigtriangleup{BAC} \\ $$$$\therefore\frac{{AC}}{{DC}}=\frac{{BC}}{{AC}}=\frac{{AB}}{{AD}} \\ $$$$\therefore\frac{{AC}}{{DC}}=\frac{{AB}}{{AD}}=\frac{\mathrm{14}}{\mathrm{7}}\:\:\therefore{AC}=\mathrm{2}{DC} \\ $$$${Again}\:\frac{{AC}}{{DC}}=\frac{{BC}}{{AC}}\:\Rightarrow{AC}^{\mathrm{2}} ={BC}×{DC} \\…