## Question

###### Compute the area of the region bounded by 1= 2r and J=8.Area , A = f xdy-y dxFor the following vector field, compute (a) the circulation on and (b) the outward flux across the boundary of the given region. Assume the boundary curves have counter-clockwise orientation. F-v(2 W+>1, where R is the half annulus {(r,0)13 <r<5,0 <0 < t}Use " Green's Theorem t0 evaluate the line integralTxy)dx + [Sx' + sin (y)] dy whereis the positively-oriented boundary of the region bou

Compute the area of the region bounded by 1= 2r and J=8. Area , A = f xdy-y dx For the following vector field, compute (a) the circulation on and (b) the outward flux across the boundary of the given region. Assume the boundary curves have counter-clockwise orientation. F-v(2 W+>1, where R is the half annulus {(r,0)13 <r<5,0 <0 < t} Use " Green's Theorem t0 evaluate the line integral Txy)dx + [Sx' + sin (y)] dy where is the positively-oriented boundary of the region bounded by the two cireles of radii of 2 and _ centered at the origin and lying in the first quadrant 10. Use parametric description of the sphere to find the surface area of the sphere of radius

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