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2z Example 5: If F(x, y, z) = (y² cos x, 2y sin x + e²², 2 ye²²), prove that the line integral [F. dr is Π 1,1) independent of path and evaluate: [F.dr. (0,-1,0) C

2z Example 5: If F(x, y, z) = (y² cos x, 2y sin x + e²², 2 ye²²), prove that the line integral [F. dr is Π 1,1) independent of path and evaluate: [F.dr. (0,-1,0) C

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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2z Example 5: If F(x, y, z) = (y² cos x, 2y sin x + e²², 2 ye²²), prove that the line integral [F. dr is Π 1,1) independent of path and evaluate: [F.dr. (0,-1,0) C
Transcribed Image Text:2z Example 5: If F(x, y, z) = (y² cos x, 2y sin x + e²², 2 ye²²), prove that the line integral [F. dr is Π 1,1) independent of path and evaluate: [F.dr. (0,-1,0) C
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