Question

4E-5 Let F be defined everywhere except at the origin by the description: dirF= radially outward, |F|=r^(m), mat integer. (4) a) Evaluate the flux of F across a circle of radius a and center at the origin, directed counterclockwise. b) For which value(s) of m will the flux be independent of a? 4E-6 Let F be a constant vector field, and let C be a closed polygon, directed counterclockwise. Show that ∮_C Fdr=0. (Hint: evaluate the integral along one of the directed sides; then add up the integrals over the successive sides, using properties of vectors.) 4E-7 Let F be a constant vector field, and C a closed polygon, as in the preceding exercise. Show that ∮_C Fnds=0. 4F-6 Let F be a constant vector field, and let C be a closed polygon directed counterclockwise. Show that ∮_C Fdr=0. (Hint: evaluate the integral along one of the directed sides; then add up the integrals over the successive sides, using properties of vectors.) 4E-7 Let F be a constant vector field, and C a closed polygon, as in the preceding exercise. Show that ∮_C Fnds=0.

          4E-5 Let F be defined everywhere except at the origin by the description: dirF= radially outward, |F|=r^(m), mat integer.
(4)
a) Evaluate the flux of F across a circle of radius a and center at the origin, directed counterclockwise.
b) For which value(s) of m will the flux be independent of a?
4E-6 Let F be a constant vector field, and let C be a closed polygon, directed counterclockwise. Show that ∮_C F*dr=0. (Hint: evaluate the integral along one of the directed sides; then add up the integrals over the successive sides, using properties of vectors.)
4E-7 Let F be a constant vector field, and C a closed polygon, as in the preceding exercise. Show that ∮_C F*nds=0.
4F-6 Let F be a constant vector field, and let C be a closed polygon directed counterclockwise. Show that ∮_C F*dr=0. (Hint: evaluate the integral along one of the directed sides; then add up the integrals over the successive sides, using properties of vectors.)
4E-7 Let F be a constant vector field, and C a closed polygon, as in the preceding exercise. Show that ∮_C F*nds=0.

4e 5 let f be defined everywhere except at the origin by the description dirf radially outward frm mat integer 4 a evaluate the flux of f across a circle of radius a and center at the origin 69087

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