Question: 5 marks I f vec ( F ) ( x , y , z ) = ( 3 + 2 x y ) h a

5 marks If vec(F)(x,y,z)=(3+2xy)hat(i)+(x2-3y2)hat(j),
(a) Find a function f such that vec(F)=gradf.
(b) Evaluate the line integral Cvec(F)*dr, where Cis the curve given by
vec(r)(t)=etsin(t)vec(i)+etcos(t)vec(j),0t.
5 marks I f vec ( F ) ( x , y , z ) = ( 3 + 2 x y

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