For the E of Problem, evaluate ∫ E • dl from P3(3, 4, -1) .to P4(4, -3, -1) by converting both E and the positions of P3 and P4 into cylindrical coordinates.
Problem:
Given a vector function E = axy + ayx, evaluate the scalar line integral ∫ E • dl from P1(2, 1,-1) to P2(8, 2, -1)
a) along the parabola x = 2y2,
b) along the straight line joining the two points.
Is this E a conservative field?
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