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Suppose E = on R³. If (P, Q, 0) : R° → R° isa vector field and P andQ have continuous partial derivatives E· dr 210k, for k = 1, 2, 3, 4 and Sp (Qa – Py) dA = [, (V × E) · E dA= –761, then find E· dr.

Suppose E = on R³. If (P, Q, 0) : R° → R° isa vector field and P andQ have continuous partial derivatives E· dr 210k, for k = 1, 2, 3, 4 and Sp (Qa – Py) dA = [, (V × E) · E dA= –761, then find E· 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 theregion in the plane with boundary given by oriented simple closed piece-wise smooth cuyrves C1, C2, C3, C4, C5.

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Suppose E = (P, Q,0): R³ → R³ is a vector field and P and Q have continuous partial derivatives on R³. If E· dr = 210k, for k = 1, 2, 3, 4 and SS, (Qx – Py) dA = S, (V × E) · k dA = –761, then find Е. dr. C5 C1 C4 C2 D C5 C3
Transcribed Image Text:Suppose E = (P, Q,0): R³ → R³ is a vector field and P and Q have continuous partial derivatives on R³. If E· dr = 210k, for k = 1, 2, 3, 4 and SS, (Qx – Py) dA = S, (V × E) · k dA = –761, then find Е. dr. C5 C1 C4 C2 D C5 C3
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