2. Find a unit vector which is perpendicular to the surface of the paraboloid of revolution z = x² + y² at P(1,2,5) Evaluate fff [VFdy where F= (x² – 2z)i - xyj - 2xk and V is the closed volume bounded by the planes x = 0, y = 0, z = 0 and x + y + z = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Find a unit vector which is perpendicular to the surface of the paraboloid of
revolution z = x² + y² at P(1,2,5)
Evaluate fffv. Fav where F= (x² - 2z)i - xyj - 2xk and V is the closed
volume bounded by the planes x = 0, y = 0, z = 0 and x + y + z = 1
Transcribed Image Text:2. Find a unit vector which is perpendicular to the surface of the paraboloid of revolution z = x² + y² at P(1,2,5) Evaluate fffv. Fav where F= (x² - 2z)i - xyj - 2xk and V is the closed volume bounded by the planes x = 0, y = 0, z = 0 and x + y + z = 1
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