- 5 Let Q Be The Region Enclosed By The Graph Z2 Y2 22 9 And Let S Be The Corresponding Surface S 20 Consider 1 (58.62 KiB) Viewed 23 times
5. Let Q be the region enclosed by the graph z2 + y2 +22 = 9, and let S be the corresponding surface (S = 20). Consider
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5. Let Q be the region enclosed by the graph z2 + y2 +22 = 9, and let S be the corresponding surface (S = 20). Consider
5. Let Q be the region enclosed by the graph z2 + y2 +22 = 9, and let S be the corresponding surface (S = 20). Consider the vector field E = 3ri + 2yj + zk. (a) Write the flux of F through S as an integral of a function in terms of r, y, and z in DA(S. (b) Write the flux of F through S as an integral of a function in terms of r, y, and z in dV(Q). (c) Write the flux of F through S as an iterative integral in cylindrical coordinates dr, de, and dz (DO NOT EVALUATE). (d) Write the flux of F through S as an iterative integral in spherical coordinates de, dy, and dp. (e) Evaluate the integral in part (d).
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