Evaluate. with F and C as given, by the

Chapter 10, Problem 10.1.207

(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.)

\(\mathbf{F}=\left[\cosh x, e^{4 y}, \quad \tan z\right]\),

\(C: x^{2}+y^{2}=t, z=x^{2}\). (Sketch C.)

Text Transcription:

F

F = [cosh x, e^{4y},     tan z],

C: x^2 + y^2 = t, z = x^2

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