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Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)

Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)

Advanced Engineering Mathematics
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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Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)
Transcribed Image Text:Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)
Find the work done by the force F = xyi + (y - x)j over the straight line from (-3,3) to (-1,1). The amount of work done is (Type an integer or a simplified fraction.)
Transcribed Image Text:Find the work done by the force F = xyi + (y - x)j over the straight line from (-3,3) to (-1,1). The amount of work done is (Type an integer or a simplified fraction.)
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