Solved: Flux across curves in a vector field Consider the

Chapter 14, Problem 66

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Flux across curves in a vector field Consider the vector field F = 8y, x9 shown in the figure. a. Compute the outward flux across the quarter circle C: r1t2 = 82 cos t, 2 sin t9, for 0 t p>2. b. Compute the outward flux across the quarter circle C: r1t2 = 82 cos t, 2 sin t9, for p>2 t p. c. Explain why the flux across the quarter circle in the third quadrant equals the flux computed in part (a). d. Explain why the flux across the quarter circle in the fourth quadrant equals the flux computed in part (b). e. What is the outward flux across the full circle?

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