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Let S be oriented with normal vectors pointing upwards. Let C be the boundary curve of S oriented positively for this orientation of S. Sketch a rough picture for your worksheet. (It does not have to be to scale) For the vector field F(x,Y,z) = (x+4z)I + (x+y)J + (y+4z)k , work out F. dr

Let S be oriented with normal vectors pointing upwards. Let C be the boundary curve of S oriented positively for this orientation of S. Sketch a rough picture for your worksheet. (It does not have to be to scale) For the vector field F(x,Y,z) = (x+4z)I + (x+y)J + (y+4z)k , work out F. dr

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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D is some triangular domain in the xy-plane with area equal to 9. S is the triangular area that is cut out on the plane 5x + 3y + 1z = 100 in R3 by the vertical cylinder drawn over D. Let S be oriented with normal vectors pointing upwards. Let C be the boundary curve of S oriented positively for this orientation of S. Sketch a rough picture for your worksheet. (It does not have to be to scale) For the vector field F(x,y,z) = (x+4z)i + (x+y)j + (y+4z)k , work out F. dr
Transcribed Image Text:D is some triangular domain in the xy-plane with area equal to 9. S is the triangular area that is cut out on the plane 5x + 3y + 1z = 100 in R3 by the vertical cylinder drawn over D. Let S be oriented with normal vectors pointing upwards. Let C be the boundary curve of S oriented positively for this orientation of S. Sketch a rough picture for your worksheet. (It does not have to be to scale) For the vector field F(x,y,z) = (x+4z)i + (x+y)j + (y+4z)k , work out F. dr
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