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A1100

Module VI
Answer any three questions, each carries 5 marks

Use Green’s theorem to evaluate १.१ where C is the boundary of 6)

rs
triangular region enclosed by y=0, y=2x,x=1.
2

2
Find the area enclosed by the ellipse ட்ட ಗೆ = ] using Green’s theorem.

Evaluate the surface integral ff xydS where o is the portion of the plane

o

x+y+z=2 lying in the first octant.
Using divergence theorem evaluate 1 ೫.149 where F =2xi+4yj -32 and 8 is
Ss

the surface of the sphere x7 + +° +z? =].
Use Stokes’ theorem to calculate the circulation around the bounding circle
x? + y’=9 and the field A= y i—x j where 8 is the disk of radius 3 centered at

origin in the XY-plane.
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