Evaluate·So F.Tds for the vector field F = x²i-yj along the curve x = y2 from (4,2) to (1,-1).ссF.Tds = (Type an integer or a simplified fraction.) Find the work done by F over the curve in the direction of increasing t.F = 2zi + 2xj + 2yk, r(t) = (sin t)i + (cost)j + tk, 0≤t≤ 2πThe amount of work done is(Type an exact answer, using as needed.)

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Answered: Evaluate ·So F.Tds for the vector field…

Evaluate ·So F.Tds for the vector field F = x²i-yj along the curve x = y2 from (4,2) to (1,-1). C C F.Tds = (Type an integer or a simplified fraction.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 45E

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Question

Evaluate
·So F.Tds for the vector field F = x²i-yj along the curve x = y2 from (4,2) to (1,-1).
с
с
F.Tds = (Type an integer or a simplified fraction.)

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

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