Consider the path: c() (a+i,-a+t), e [o,a) a> o, a constant 1.01 Let's ran(c). GIVEN: F: RR, F (.x) a) FIND: F ds Useful formula: ANS 2I(1+/2) ANS: FIND: d b) Egl Page 2 of (19) Egl Batch...
GIVEN: Ω isthe portion of the surface of the sphere centered at the origin of radius 3 above 1.2 1(xy, z) the plane, z-2: Ω: the field F = (x, x,x). a) FIND the flux of VrF through Ω in the given direction: n has positive 2-component. HINT: (radius a)on Q:(spherical coordinates) b) Parameterize the path,c-a2, (r,g,z)asin g dode with orientation to agree with the given n for Ω ANS: (a) 5 c) With positive orientation,an -e DETERMINE: F.ds ANS:...