Evaluate. with F and C as given, by the

Chapter 10, Problem 10.1.204

(choose chapter or problem)

Evaluate, with \(\mathbf{F}\) and C as given, by the method that seems most suitable. Recall that if \(\mathbf{F}\) is a force, the integral gives the work done in a displacement along C. (Show the details.)

\(\mathbf{F}=\left[\begin{array}{lll}-3 y^{3} & 3 x^{3}+\cos y & 0\end{array}\right]\).

C the circle \(x^{2}+y^{2}=16, z=0\), counterclockwise

Text Transcription:

F

F = [-3y^3  3x^3 + cos y  0]

x^2 + y^2 = 16, z = 0

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