- 10 Let Q Be The Region Cut From The First Octant By The Sphere Y X2 4 And Let S Be Its Border S 20 Conside 1 (53.88 KiB) Viewed 28 times
10. Let Q be the region cut from the first octant by the sphere + y² + x2 = 4, and let S be its border (S = 20). Conside
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10. Let Q be the region cut from the first octant by the sphere + y² + x2 = 4, and let S be its border (S = 20). Conside
10. Let Q be the region cut from the first octant by the sphere + y² + x2 = 4, and let S be its border (S = 20). Consider the vector field F = r’i – 2.xyj +3.rzk. (a) Write the flux of F outward through S as an integral of a function in terms of r, y, and z in dA(S) (DO NOT EVALUATE). (b) Write the flux of F through S as an integral of a function in terms of r, y, and z in dV(Q) (DO NOT EVALUATE). (c) Write the flux of F through S as an iterative integral in spherical coordinates de, dy, and dp. (d) Evaluate the integral you wrote in part (c). a
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