away Centre O1 the

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 12P
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solve 'b' part only
(0, 1), T the unit tangent
(1) Let C be a circle of radius 1 centred at the point (x, y)
vector to C traversed in an anticlockwise direction, and n the unit normal vector to C
directed away from the centre of the circle. Consider the vector field F(x, y)
xi+xyj.
(a) Calculate f, F·T ds.
(b) Calculate f F.n ds.
Show all working.
Transcribed Image Text:(0, 1), T the unit tangent (1) Let C be a circle of radius 1 centred at the point (x, y) vector to C traversed in an anticlockwise direction, and n the unit normal vector to C directed away from the centre of the circle. Consider the vector field F(x, y) xi+xyj. (a) Calculate f, F·T ds. (b) Calculate f F.n ds. Show all working.
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