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Given a vector field F= (-y,x,0), compute the following results: (You should use any integral theorems that apply to minimise your working. It is suggested to do these in order). (a) V XF = (Blank 1,Blank 2, Blank 3) vxF. ds, where the surface S is the closed hemispherical surface of radius 1 for z ≥ 0. Blank 4 $F. F.dx over the curve C, which is the circle of radius 1 in the (x,y) plane traversed in a right-hand sense. (b) (c)

Given a vector field F= (-y,x,0), compute the following results: (You should use any integral theorems that apply to minimise your working. It is suggested to do these in order). (a) V XF = (Blank 1,Blank 2, Blank 3) vxF. ds, where the surface S is the closed hemispherical surface of radius 1 for z ≥ 0. Blank 4 $F. F.dx over the curve C, which is the circle of radius 1 in the (x,y) plane traversed in a right-hand sense. (b) (c)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 21E
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do a,b,c

Given a vector field F= ( − y,x,0), compute the following results: (You should use any integral theorems that apply to minimise your working. It is suggested to do these in order). (a) V XF = (Blank 1,Blank 2, Blank 3) (b) (c) ff v VXF.dS, where the surface S is the closed hemispherical surface of radius 1 for z≥ 0. Blank 4 dx over the curve C, which is the circle of radius 1 in the (x,y) plane traversed in a right-hand sense.
Transcribed Image Text:Given a vector field F= ( − y,x,0), compute the following results: (You should use any integral theorems that apply to minimise your working. It is suggested to do these in order). (a) V XF = (Blank 1,Blank 2, Blank 3) (b) (c) ff v VXF.dS, where the surface S is the closed hemispherical surface of radius 1 for z≥ 0. Blank 4 dx over the curve C, which is the circle of radius 1 in the (x,y) plane traversed in a right-hand sense.
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