Let F(x, y, z) = -2yi – 3zj – 5xk and C be the circle x? + y? = 9 that forms the boundary of ơ in the xy –plane where o is the portion of the paraboloid, z = 9 – x² – y² for which z > 0. (n is pointing outward) Evaluate | F.dr (i) (ii) Evaluate || (curl F). ndS (iii) State your conclusion from the answers in parts (i) and (ii).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let F(x, y, z) = -2yi – 3zj – 5xk and C be the circle x?+ y² = 9 that forms
the boundary of o in the xy -plane where o is the portion of the paraboloid,
z = 9 – x² – y? for which z > 0. (n is pointing outward)
Evaluate | F. dr
(i)
(ii)
Evaluate || (curl F). ndS
(iii) State your conclusion from the answers in parts (i) and (ii).
Transcribed Image Text:Let F(x, y, z) = -2yi – 3zj – 5xk and C be the circle x?+ y² = 9 that forms the boundary of o in the xy -plane where o is the portion of the paraboloid, z = 9 – x² – y? for which z > 0. (n is pointing outward) Evaluate | F. dr (i) (ii) Evaluate || (curl F). ndS (iii) State your conclusion from the answers in parts (i) and (ii).
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