A. Determine whether F is a conservative vector field, Where F(x,y) = e^(2y) i + 2x*...

 

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A. Determine whether F is a conservative vector field, Where F(x,y) = e^(2y) i + 2x* e^(2y) j Then, calculate the work done by the field on the particle that moves from (1,0) to (-1,0). B. Evaluate the line integral with respect to s along the curve C. J ds x² + y² CX- C: r(t) = 2 cos ti+2 sintj+tk (0 ≤ 1 ≤ 2π) A. Determine whether F is a conservative vector field, Where F(x,y) = e^(2y) i + 2x* e^(2y) j Then, calculate the work done by the field on the particle that moves from (1,0) to (-1,0). B. Evaluate the line integral with respect to s along the curve C. J ds x² + y² CX- C: r(t) = 2 cos ti+2 sintj+tk (0 ≤ 1 ≤ 2π)