Find the work done by F = (x 2 + y)i + (y 2 + x)j +
Question:
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)
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Step by Step Answer:
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 the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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