Question: Find the work done by F = (x 2 + y)i + (y 2 + x)j + ze z k over the following paths from
Find the work done by F = (x2 + y)i + (y2 + x)j + zezk over the following paths from (1, 0, 0) to (1, 0, 1).
a. The line segment x = 1, y = 0, 0 ≤ z ≤ 1
b. The helix r(t) = (cos t)i + (sin t)j + (t/2π)k, 0 ≤ t ≤ 2π
c. The x-axis from (1, 0, 0) to (0, 0, 0) followed by the parabola z = x2, y = 0 from (0, 0, 0) to (1, 0, 1)
(1, 0, 1) X Z = x (1, 0, 0) Z 1 (0, 0, 0)
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To find the work done by the force field F along different paths we need to evaluate the line integral of F over each path The line integral of a vect... View full answer
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