Calculate $\displaystyle \iint\limits_S \vec{F} .\vec{n} dS $: $\displaystyle \vec{F}(x,y,z) = (x, -xy, z)$ S: $\displaystyle x^2 + y^2 = R^2$, bounded the planes by y = 1 and x + y = 4 A.:$\displaystyle 6\pi R^2$
Follow Math Help Forum on Facebook and Google+
Something's wrong with the equations for the region $\displaystyle S$.
Originally Posted by PedroMinsk Calculate $\displaystyle \iint\limits_S \vec{F} .\vec{n} dS $: $\displaystyle \vec{F}(x,y,z) = (x, -xy, z)$ S: $\displaystyle x^2 + y^2 = R^2$, bounded the planes by y = 1 and x + y = 4 Since none of your equations involve z, z can be anything and the region is unbounded. Were the bounds supposed to be z= 1 and x+ z= 4? If so is the integral over the cylinder and planes or only over the cylinder? A.:$\displaystyle 6\pi R^2$
View Tag Cloud