Category: Vector

Question Number 197550 by Erico last updated on 21/Sep/23 $$\mathrm{Calcul}\:\:\:\mathrm{I}=\underset{\:\mathrm{0}} {\int}^{\:\frac{\pi}{\mathrm{2}}} \frac{\mathrm{ln}\left(\mathrm{cost}\right)}{\mathrm{1}+\mathrm{sin}^{\mathrm{2}} \mathrm{t}}\mathrm{dt} \\ $$ Answered by qaz last updated on 22/Sep/23 $${I}=\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \frac{{ln}\mathrm{cos}\:{t}}{\mathrm{2}−\mathrm{cos}\:^{\mathrm{2}}…

Question Number 196145 by Erico last updated on 18/Aug/23 $$\mathrm{Calculer}\:\underset{\:\frac{\mathrm{1}}{\alpha}} {\int}^{\:+\infty} {e}^{−\alpha{t}^{\mathrm{2}} +\mathrm{2}{t}} {dt} \\ $$ Answered by Mathspace last updated on 20/Aug/23 $${t}=\frac{\mathrm{1}}{\alpha}+{x}\:\Rightarrow \\…

Question Number 195165 by Nimnim111118 last updated on 25/Jul/23 $$\mathrm{If}\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{1}} }=\left(\mathrm{sin}\theta,\mathrm{cos}\theta,\theta\right),\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{2}} }=\left(\mathrm{cos}\theta,−\mathrm{sin}\theta,−\mathrm{3}\right)\:\mathrm{and} \\ $$$$\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{3}} }=\left(\mathrm{2},\mathrm{3},−\mathrm{1}\right),\:\mathrm{find}\:\frac{\mathrm{d}}{\mathrm{d}\theta}\left\{\overset{\rightarrow} {\mathrm{r}_{\mathrm{1}} }×\left(\overset{\rightarrow} {\mathrm{r}_{\mathrm{2}} }×\overset{\rightarrow} {\mathrm{r}_{\mathrm{3}} }\right)\right\}\:\mathrm{at}\:\theta=\mathrm{0} \\…

Question Number 194600 by byaw last updated on 10/Jul/23 $$ \\ $$An object is pulled up a smooth plane inclined at angle 45° to the…

Question Number 194497 by Biteshwar last updated on 08/Jul/23 $$\mathrm{12th} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Commented by Frix last updated…