Verify the conclusion of Greens Theorem by evaluating both sides of Equations (3) and (4) for the
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Verify the conclusion of Green’s Theorem by evaluating both sides of Equations (3) and (4) for the field F = Mi + Nj. Take the domains of integration in each case to be the disk R: x2 + y2 ≤ a2 and its bounding circle C: r = (a cos t)i + (a sin t)j, 0 ≤ t ≤ 2π.
F = yi
Transcribed Image Text:
ƏN fF-T ds = 6M dx + N dy = [[ (N-1) de c dx dy ax ay C R Counterclockwise circulation Curl integral (3)
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We have the vector field F M i N j x2 y i 2x j Using Greens Theorem we have C F dr R Nx My dA where ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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