Evaluating a Line Integral In exercises 23-32, evaluate
(a).
(b).
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Calculus: Early Transcendental Functions
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- Calculate the circulation of the field F around the closed curve C. Circulation means line integralF = - 6/7 x 2y i -6/7 xy 2 j; curve C is r(t) = 7 cos t i + 7 sin t j, 0 ≤ t ≤ 2π - 12 - 12/7 - 6 0arrow_forwardUsing Stokes' theorem, solve the line integral of G(x, y, z) - (1, x + yz, xy-√z) around the boundary of surface S, which is given by the piece of the plane 3x + 2y + z = 1 where x, y, and z all ≥ 0.arrow_forwardCalculate the flow in the field F along the path C. Flow means line integralF = (x - y) i - (x 2 + y 2) j; C is curve from (4, 0) to (-4, 0) on the upper half of the circle x 2 + y 2 = 16 a) (16π-1)/4 b) 16π c) 8π d) - 8πarrow_forward
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