Concept explainers
Flux across curves in a
a. Compute the outward flux across the quarter circle C: r(t) = 〈2 cos t, 2 sin t), for 0 ≤ t ≤ π/2.
b. Compute the outward flux across the quarter circle C: r(t) = 〈2 cos t, 2 sin t), for π/2 ≤ t ≤ π.
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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Calculus: Early Transcendentals (2nd Edition)
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