Work and CirculationFlow along different paths Find the

Chapter 16, Problem 38PE

(choose chapter or problem)

Problem 38PE

Work and Circulation

Flow along different paths Find the flow of the field F =

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

Reference: Exercise 27

Area of a helicoid Find the surface area of the helicoid

in the accompanying figure.

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