Evaluate and C the curve given by C:
x=t ,y=t2+1, t=0 to t=1. (4mks)

 i) Evaluate across a square bounded by the lines by use of
Green’s theorem. (6mks)
ii)Verify Greens theorem in a plane for the vector field for the region
bounded by and . (6mks)

iii) Verify stoke’s theorem for a portion of the parabloid z=4-x2-y2 that lies upon the
plane z=0 in the vector field . (6mks) 

Find T, N and K i.e the unit tangent vector, the unit normal and the curvature of the helix given by the
parametric equations . (4mks)

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