1. Evaluate the surface integral $$ iint {S} y^{2} d S $$ where $S$ is the...

 

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1. Evaluate the surface integral $$ \iint {S} y^{2} d S $$ where $S$ is the part of the sphere $x^{2}+y^{2}+z^{2}=1$ and lies above the cone $z=\sqrt{x^{2}+y^{2}}$. 2. Find the flux of the vector field $\mathbf{F}(x, y, z)=z \mathbf{i}+y \mathbf{j}+x \mathbf{k}$ across the sphere $x^{2}+y^{2}+z^{2}=4$. CS. VS. 1592 1. Evaluate the surface integral $$ \iint {S} y^{2} d S $$ where $S$ is the part of the sphere $x^{2}+y^{2}+z^{2}=1$ and lies above the cone $z=\sqrt{x^{2}+y^{2}}$. 2. Find the flux of the vector field $\mathbf{F}(x, y, z)=z \mathbf{i}+y \mathbf{j}+x \mathbf{k}$ across the sphere $x^{2}+y^{2}+z^{2}=4$. CS. VS. 1592