a) Compute the work done by F = (y², sin(z), x) along a straight line from (0,3,0) to (1, 0, 1). b) Compute the work done by F= (y², sin(z), x) along a triangular path from (0,3,0) to (1, 0, 1) to (0, 0, 2) and back to (0, 3,0). c) Compute the work done by = (x, y², sin(z)) along a circular path of radius 3, centered at (0, 1, 0), in the plane y = 1, counterclockwise when viewed from the origin.
a) Compute the work done by F = (y², sin(z), x) along a straight line from (0,3,0) to (1, 0, 1). b) Compute the work done by F= (y², sin(z), x) along a triangular path from (0,3,0) to (1, 0, 1) to (0, 0, 2) and back to (0, 3,0). c) Compute the work done by = (x, y², sin(z)) along a circular path of radius 3, centered at (0, 1, 0), in the plane y = 1, counterclockwise when viewed from the origin.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:a) Compute the work done by F = (y², sin(z), x) along a straight line from
(0,3,0) to (1, 0, 1).
b) Compute the work done by F = (y², sin(z), x) along a triangular path from
(0, 3, 0) to (1, 0, 1) to (0, 0, 2) and back to (0, 3, 0).
c) Compute the work done by = (x, y², sin(z)) along a circular path of radius 3,
centered at (0, 1, 0), in the plane y = 1, counterclockwise when viewed from the
origin.
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