Find the flow of the field F = (x 2 ze y ) a. Once around the

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Find the flow of the field F = ∇(x2zey)


a. Once around the ellipse C in which the plane x + y + z = 1 intersects the cylinder x2 + z2 = 25, clockwise as viewed from the positive y-axis.


b. Along the curved boundary of the helicoid in Exercise 27 from (1, 0, 0) to (1, 0, 2π).



Data from Exercise 27


Find the surface area of the helicoid r(r, θ) = (r cos θ)i + (r sin θ)j + θk, 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 1, in the accompanying figure.image

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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