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Question 6 Show that the vector field F(x,y)=3x2y2+ex,2x3y is conservative, and hence evaluate the line integral CFdr where C is the curve parametrised by r(t)=sin(2t)et,cos(2t)t,0t1

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Question 6 Show that the vector field F(x,y)=3x2y2+ex,2x3y is conservative, and hence evaluate the line integral CFdr where C is the curve parametrised by r(t)=sin(2t)et,cos(2t)t,0t1

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